Abstract:
Encoding a sequence of digital speech samples into a bit stream includes dividing the digital speech samples into one or more frames, computing model parameters for a frame, and quantizing the model parameters to produce pitch bits conveying pitch information, voicing bits conveying voicing information, and gain bits conveying signal level information. One or more of the pitch bits are combined with one or more of the voicing bits and one or more of the gain bits to create a first parameter codeword that is encoded with an error control code to produce a first FEC codeword that is included in a bit stream for the frame. The process may be reversed to decode the bit stream.

Description:
TECHNICAL FIELD 
     This description relates generally to the encoding and/or decoding of speech, tone and other audio signals. 
     BACKGROUND 
     Speech encoding and decoding have a large number of applications and have been studied extensively. In general, speech coding, which is also known as speech compression, seeks to reduce the data rate needed to represent a speech signal without substantially reducing the quality or intelligibility of the speech. Speech compression techniques may be implemented by a speech coder, which also may be referred to as a voice coder or vocoder. 
     A speech coder is generally viewed as including an encoder and a decoder. The encoder produces a compressed stream of bits from a digital representation of speech, such as may be generated at the output of an analog-to-digital converter having as an input an analog signal produced by a microphone. The decoder converts the compressed bit stream into a digital representation of speech that is suitable for playback through a digital-to-analog converter and a speaker. In many applications, the encoder and the decoder are physically separated, and the bit stream is transmitted between them using a communication channel. 
     A key parameter of a speech coder is the amount of compression the coder achieves, which is measured by the bit rate of the stream of bits produced by the encoder. The bit rate of the encoder is generally a function of the desired fidelity (i.e., speech quality) and the type of speech coder employed. Different types of speech coders have been designed to operate at different bit rates. Recently, low to medium rate speech coders operating below 10 kbps have received attention with respect to a wide range of mobile communication applications (e.g., cellular telephony, satellite telephony, land mobile radio, and in-flight telephony). These applications typically require high quality speech and robustness to artifacts caused by acoustic noise and channel noise (e.g., bit errors). 
     Speech is generally considered to be a non-stationary signal having signal properties that change over time. This change in signal properties is generally linked to changes made in the properties of a person&#39;s vocal tract to produce different sounds. A sound is typically sustained for some short period, typically 10-100 ms, and then the vocal tract is changed again to produce the next sound. The transition between sounds may be slow and continuous or it may be rapid as in the case of a speech “onset.” This change in signal properties increases the difficulty of encoding speech at lower bit rates since some sounds are inherently more difficult to encode than others and the speech coder must be able to encode all sounds with reasonable fidelity while preserving the ability to adapt to a transition in the characteristics of the speech signals. Performance of a low to medium bit rate speech coder can be improved by allowing the bit rate to vary. In variable-bit-rate speech coders, the bit rate for each segment of speech is allowed to vary between two or more options depending on various factors, such as user input, system loading, terminal design or signal characteristics. 
     There have been several main approaches for coding speech at low to medium data rates. For example, an approach based around linear predictive coding (LPC) attempts to predict each new frame of speech from previous samples using short and long term predictors. The prediction error is typically quantized using one of several approaches of which CELP and/or multi-pulse are two examples. The advantage of the linear prediction method is that it has good time resolution, which is helpful for the coding of unvoiced sounds. In particular, plosives and transients benefit from this in that they are not overly smeared in time. However, linear prediction typically has difficulty for voiced sounds in that the coded speech tends to sound rough or hoarse due to insufficient periodicity in the coded signal. This problem may be more significant at lower data rates that typically require a longer frame size and for which the long-term predictor is less effective at restoring periodicity. 
     Another leading approach for low to medium rate speech coding is a model-based speech coder or vocoder. A vocoder models speech as the response of a system to excitation over short time intervals. Examples of vocoder systems include linear prediction vocoders such as MELP, homomorphic vocoders, channel vocoders, sinusoidal transform coders (“STC”), harmonic vocoders and multiband excitation (“MBE”) vocoders. In these vocoders, speech is divided into short segments (typically 10-40 ms), with each segment being characterized by a set of model parameters. These parameters typically represent a few basic elements of each speech segment, such as the segment&#39;s pitch, voicing state, and spectral envelope. A vocoder may use one of a number of known representations for each of these parameters. For example, the pitch may be represented as a pitch period, a fundamental frequency or pitch frequency (which is the inverse of the pitch period), or a long-term prediction delay. Similarly, the voicing state may be represented by one or more voicing metrics, by a voicing probability measure, or by a set of voicing decisions. The spectral envelope is often represented by an all-pole filter response, but also may be represented by a set of spectral magnitudes or other spectral measurements. Since they permit a speech segment to be represented using only a small number of parameters, model-based speech coders, such as vocoders, typically are able to operate at medium to low data rates. However, the quality of a model-based system is dependent on the accuracy of the underlying model. Accordingly, a high fidelity model must be used if these speech coders are to achieve high speech quality. 
     The MBE vocoder is a harmonic vocoder based on the MBE speech model that has been shown to work well in many applications. The MBE vocoder combines a harmonic representation for voiced speech with a flexible, frequency-dependent voicing structure based on the MBE speech model. This allows the MBE vocoder to produce natural sounding unvoiced speech and makes the MBE vocoder more robust to the presence of acoustic background noise. These properties allow the MBE vocoder to produce higher quality speech at low to medium data rates and have led to its use in a number of commercial mobile communication applications. 
     The MBE speech model represents segments of speech using a fundamental frequency corresponding to the pitch, a set of voicing metrics or decisions, and a set of spectral magnitudes corresponding to the frequency response of the vocal tract. The MBE model generalizes the traditional single V/UV decision per segment into a set of decisions that each represent the voicing state within a particular frequency band or region. Each frame is thereby divided into at least voiced and unvoiced frequency regions. This added flexibility in the voicing model allows the MBE model to better accommodate mixed voicing sounds, such as some voiced fricatives, allows a more accurate representation of speech that has been corrupted by acoustic background noise, and reduces the sensitivity to an error in any one decision. Extensive testing has shown that this generalization results in improved voice quality and intelligibility. 
     MBE-based vocoders include the IMBE™ speech coder which has been used in a number of wireless communications systems including the APCO Project 25 (“P25”) mobile radio standard. This P25 vocoder standard consists of a 7200 bps IMBE™ vocoder that combines 4400 bps of compressed voice data with 2800 bps of Forward Error Control (FEC) data. It is documented in Telecommunications Industry Association (TIA) document TIA-102BABA, entitled “APCO Project 25 Vocoder Description,” which is incorporated by reference. 
     The encoder of a MBE-based speech coder estimates a set of model parameters for each speech segment or frame. The MBE model parameters include a fundamental frequency (the reciprocal of the pitch period); a set of V/UV metrics or decisions that characterize the voicing state; and a set of spectral magnitudes that characterize the spectral envelope. After estimating the MBE model parameters for each segment, the encoder quantizes the parameters to produce a frame of bits. The encoder optionally may protect these bits with error correction/detection codes (FEC) before interleaving and transmitting the resulting bit stream to a corresponding decoder. 
     The decoder in a MBE-based vocoder reconstructs the MBE model parameters (fundamental frequency, voicing information and spectral magnitudes) for each segment of speech from the received bit stream. As part of this reconstruction, the decoder may perform deinterleaving and error control decoding to correct and/or detect bit errors. In addition, the decoder typically performs phase regeneration to compute synthetic phase information. For example, in a method specified in the APCO Project 25 Vocoder Description and described in U.S. Pat. Nos. 5,081,681 and 5,664,051, random phase regeneration is used, with the amount of randomness depending on the voicing decisions. 
     The decoder uses the reconstructed MBE model parameters to synthesize a speech signal that perceptually resembles the original speech to a high degree. Normally, separate signal components, corresponding to voiced, unvoiced, and optionally pulsed speech, are synthesized for each segment, and the resulting components are then added together to form the synthetic speech signal. This process is repeated for each segment of speech to reproduce the complete speech signal, which can then be output through a D-to-A converter and a loudspeaker. The unvoiced signal component may be synthesized using a windowed overlap-add method to filter a white noise signal. The time-varying spectral envelope of the filter is determined from the sequence of reconstructed spectral magnitudes in frequency regions designated as unvoiced, with other frequency regions being set to zero. 
     The decoder may synthesize the voiced signal component using one of several methods. In one method, specified in the APCO Project 25 Vocoder Description, a bank of harmonic oscillators is used, with one oscillator assigned to each harmonic of the fundamental frequency, and the contributions from all of the oscillators is summed to form the voiced signal component. 
     The 7200 bps IMBE™ vocoder, standardized for the APCO Project 25 mobile radio communication system, uses 144 bits to represent each 20 ms frame. These bits are divided into 56 redundant FEC bits (applied as a combination of Golay and Hamming codes), 1 synchronization bit and 87 MBE parameter bits. The 87 MBE parameter bits consist of 8 bits to quantize the fundamental frequency, 3-12 bits to quantize the binary voiced/unvoiced decisions, and 67-76 bits to quantize the spectral magnitudes. The resulting 144 bit frame is transmitted from the encoder to the decoder. The decoder performs error correction decoding before reconstructing the MBE model parameters from the error-decoded bits. The decoder then uses the reconstructed model parameters to synthesize voiced and unvoiced signal components which are added together to form the decoded speech signal. 
     SUMMARY 
     In one general aspect, encoding a sequence of digital speech samples into a bit stream includes dividing the digital speech samples into one or more frames, computing model parameters for a frame, and quantizing the model parameters to produce pitch bits conveying pitch information, voicing bits conveying voicing information, and gain bits conveying signal level information. One or more of the pitch bits are combined with one or more of the voicing bits and one or more of the gain bits to create a first parameter codeword that is encoded with an error control code to produce a first FEC codeword. The first FEC codeword is included in a bit stream for the frame. 
     Implementations may include one or more of the following features. For example, computing the model parameters for the frame may include computing a fundamental frequency parameter, one or more of voicing decisions, and a set of spectral parameters. The parameters may be computed using the Multi-Band Excitation speech model. 
     Quantizing the model parameters may include producing the pitch bits by applying a logarithmic function to the fundamental frequency parameter, and producing the voicing bits by jointly quantizing voicing decisions for the frame. The voicing bits may represent an index into a voicing codebook, and the value of the voicing codebook may be the same for two or more different values of the index. 
     The first parameter codeword may include twelve bits. For example, the first parameter codeword may be formed by combining four of the pitch bits, four of the voicing bits, and four of the gain bits. The first parameter codeword may be encoded with a Golay error control code. 
     The spectral parameters may include a set of logarithmic spectral magnitudes, and the gain bits may be produced at least in part by computing the mean of the logarithmic spectral magnitudes. The logarithmic spectral magnitudes may be quantized into spectral bits; and at least some of the spectral bits may be combined to create a second parameter codeword that is encoded with a second error control code to produce a second FEC codeword that may be included in the bit stream for the frame. 
     The pitch bits, voicing bits, gain bits and spectral bits are each divided into more important bits and less important bits. The more important pitch bits, voicing bits, gain bits, and spectral bits are included in the first parameter codeword and the second parameter codeword and encoded with error control codes. The less important pitch bits, voicing bits, gain bits, and spectral bits are included in the bit stream for the frame without encoding with error control codes. In one implementation, there are 7 pitch bits divided into 4 more important pitch bits and 3 less important pitch bits, there are 5 voicing bits divided into 4 more important voicing bits and 1 less important voicing bit, and there are 5 gain bits divided into 4 more important gain bits and 1 less important gain bit. The second parameter code may include twelve more important spectral bits which are encoded with a Golay error control code to produce the second FEC codeword. 
     A modulation key may be computed from the first parameter codeword, and a scrambling sequence may be generated from the modulation key. The scrambling sequence may be combined with the second FEC codeword to produce a scrambled second FEC codeword to be included in the bit stream for the frame. 
     Certain tone signals may be detected. If a tone signal is detected for a frame, tone identifier bits and tone amplitude bits are included in the first parameter codeword. The tone identifier bits allow the bits for the frame to be identified as corresponding to a tone signal. If a tone signal is detected for a frame, additional tone index bits that determine frequency information for the tone signal may be included in the bit stream for the frame. The tone identifier bits may correspond to a disallowed set of pitch bits to permit the bits for the frame to be identified as corresponding to a tone signal. In certain implementations, the first parameter codeword includes six tone identifier bits and six tone amplitude bits if a tone signal is detected for a frame. 
     In another general aspect, decoding digital speech samples from a bit stream includes dividing the bit stream into one or more frames of bits, extracting a first FEC codeword from a frame of bits, and error control decoding the first FEC codeword to produce a first parameter codeword. Pitch bits, voicing bits and gain bits are extracted from the first parameter codeword. The extracted pitch bits are used to at least in part reconstruct pitch information for the frame, the extracted voicing bits are used to at least in part reconstruct voicing information for the frame, and the extracted gain bits are used to at least in part reconstruct signal level information for the frame. The reconstructed pitch information, voicing information and signal level information for one or more frames are used to compute digital speech samples. 
     Implementations may include one or more of the features noted above and one or more of the following features. For example, the pitch information for a frame may include a fundamental frequency parameter, and the voicing information for a frame may include one or more voicing decisions. The voicing decisions for the frame may be reconstructed by using the voicing bits as an index into a voicing codebook. The value of the voicing codebook may be the same for two or more different indices. 
     Spectral information for a frame also may be reconstructed. The spectral information for a frame may include at least in part a set of logarithmic spectral magnitude parameters. The signal level information may be used to determine the mean value of the logarithmic spectral magnitude parameters. The first FEC codeword may be decoded with a Golay decoder. Four pitch bits, four voicing bits, and four gain bits may be extracted from the first parameter codeword. A modulation key may be generated from the first parameter codeword, a scrambling sequence may be computed from the modulation key, and a second FEC codeword may be extracted from the frame of bits. The scrambling sequence may be applied to the second FEC codeword to produce a descrambled second FEC codeword that may be error control decoded to produce a second parameter codeword. The spectral information for a frame may be reconstructed at least in part from the second parameter codeword. 
     An error metric may be computed from the error control decoding of the first FEC codeword and from the error control decoding of the descrambled second FEC codeword, and frame error processing may be applied if the error metric exceeds a threshold value. The frame error processing may include repeating the reconstructed model parameter from a previous frame for the current frame. The error metric may use the sum of the number of errors corrected by error control decoding the first FEC codeword and by error control decoding the descrambled second FEC codeword. 
     In another general aspect, decoding digital signal samples from a bit stream includes dividing the bit stream into one or more frames of bits, extracting a first FEC codeword from a frame of bits, error control decoding the first FEC codeword to produce a first parameter codeword, and using the first parameter codeword to determine whether the frame of bits corresponds to a tone signal. If the frame of bits is determined to correspond to a tone signal, tone amplitude bits are extracted from the first parameter codeword. Otherwise, pitch bits, voicing bits, and gain bits are extracted from the first codeword if the frame of bits is determined to not correspond to a tone signal. Either the tone amplitude bits or the pitch bits, voicing bits and gain bits are used to compute digital signal samples. 
     Implementations may include one or more of the features noted above and one or more of the following features. For example, a modulation key may be generated from the first parameter codeword and a scrambling sequence may be computed from the modulation key. The scrambling sequence may be applied to a second FEC codeword extracted from the frame of bits to produce a descrambled second FEC codeword that may be error control decoded to produce a second parameter codeword. Digital signal samples may be computed using the second parameter codeword. 
     The number of errors corrected by the error control decoding of the first FEC codeword and by the error control decoding of the descrambled second FEC codeword may be summed to compute an error metric. Frame error processing may be applied if the error metric exceeds a threshold. The frame error processing may include repeating the reconstructed model parameter from a previous frame. 
     Additional spectral bits may be extracted from the second parameter codeword and used to reconstruct the digital signal samples. The spectral bits include tone index bits if the frame of bits is determined to correspond to a tone signal. The frame of bits may be determined to correspond to a tone signal if some of the bits in the first parameter codeword equal a known tone identifier value which corresponds to a disallowed value of the pitch bits. The tone index bits may be used to identify whether the frame of bits corresponds to a signal frequency tone, a DTMF tone, a Knox tone or a call progress tone. 
     The spectral bits may be used to reconstruct a set of logarithmic spectral magnitude parameters for the frame, and the gain bits may be used to determine the mean value of the logarithmic spectral magnitude parameters. 
     The first FEC codeword may be decoded with a Golay decoder. Four pitch bits, plus four voicing bits, plus four gain bits may be extracted from the first parameter codeword. The voicing bits may be used as an index into a voicing codebook to reconstruct voicing decisions for the frame. 
     In another general aspect, decoding a frame of bits into speech samples includes determining the number of bits in the frame of bits, extracting spectral bits from the frame of bits, and using one or more of the spectral bits to form a spectral codebook index, where the index is determined at least in part by the number of bits in the frame of bits. Spectral information is reconstructed using the spectral codebook index, and speech samples are computed using the reconstructed spectral information. 
     Implementations may include one or more of the features noted above and one or more of the following features. For example, pitch bits, voicing bits and gain bits may also be extracted from the frame of bits. The voicing bits may be used as an index into a voicing codebook to reconstruct voicing information which is also used to compute the speech samples. The frame of bits may be determined to correspond to a tone signal if some of the pitch bits and some of the voicing bits equal a known tone identifier value. The spectral information may include a set of logarithmic spectral magnitude parameters, and the gain bits may be used to determine the mean value of the logarithmic spectral magnitude parameters. The logarithmic spectral magnitude parameters for a frame may be reconstructed using the extracted spectral bits for the frame combined with the reconstructed logarithmic spectral magnitude parameters from a previous frame. The mean value of the logarithmic spectral magnitude parameters for a frame may be determined from the extracted gain bits for the frame and from the mean value of the logarithmic spectral magnitude parameters of a previous frame. In certain implementations, the frame of bits may include 7 pitch bits representing the fundamental frequency, 5 voicing bits representing voicing decisions, and 5 gain bits representing the signal level. 
     The techniques may be used to provide a “half-rate” MBE vocoder operating at 3600 bps can provide substantially the same or better performance than the standard “full-rate” 7200 bps APCO Project 25 vocoder even though the new vocoder operates at half the data rate. The much lower data rate for the half-rate vocoder can provide much better communications efficiency (i.e., the amount of RF spectrum required for transmission) compared to the standard full-rate vocoder. 
     In related application Ser. No. 10/353,974, filed Jan. 30, 2003, titled “Voice Transcoder”, and incorporated by reference, a method is disclosed for providing interoperability between different MBE vocoders. This method can be applied to provide interoperability between current equipment using the full-rate vocoder and newer equipment using the half-rate vocoder described herein. Implementations of the techniques discussed above may include a method or process, a system or apparatus, or computer software on a computer-accessible medium. Other features will be apparent from the following description, including the drawings, and the claims. 
    
    
     
       DESCRIPTION OF DRAWINGS 
         FIG. 1  is a block diagram of an application of a MBE vocoder. 
         FIG. 2  is a block diagram of an implementation of a half-rate MBE vocoder including an encoder and a decoder. 
         FIG. 3  is a block diagram of a MBE parameter estimator such as may be used in the half-rate MBE encoder of  FIG. 2 . 
         FIG. 4  is a block diagram of an implementation of a MBE parameter quantizer such as may be used in the half-rate MBE encoder of  FIG. 2 . 
         FIG. 5  is a block diagram of one implementation of a half-rate MBE log spectral magnitude quantizer of the half-rate MBE encoder of  FIG. 2 . 
         FIG. 6  is a block diagram of a spectral magnitude prediction residual quantizer of the half-rate MBE encoder of  FIG. 2 . 
     
    
    
     DETAILED DESCRIPTION 
       FIG. 1  shows a speech coder or vocoder system  100  that samples analog speech or some other signal from a microphone  105 . An analog-to-digital (“A-to-D”) converter  110  digitizes the sampled speech to produce a digital speech signal. The digital speech is processed by a MBE speech encoder unit  115  to produce a digital bit stream  120  suitable for transmission or storage. Typically, the speech encoder processes the digital speech signal in short frames. Each frame of digital speech samples produces a corresponding frame of bits in the bit stream output of the encoder. In one implementation, the frame size is 20 ms in duration and consists of 160 samples at a 8 kHz sampling rate. Performance may be increased in some applications by dividing each frame into two 10 ms subframes. 
       FIG. 1  also depicts a received bit stream  125  entering a MBE speech decoder unit  130  that processes each frame of bits to produce a corresponding frame of synthesized speech samples. A digital-to-analog (“D-to-A”) converter unit  135  then converts the digital speech samples to an analog signal that can be passed to a speaker unit  140  for conversion into an acoustic signal suitable for human listening. 
       FIG. 2  shows a MBE vocoder that includes a MBE encoder unit  200  that employs a parameter estimation unit  205  to estimate generalized MBE model parameters for each frame. Parameter estimation unit  205  also detects certain tone signals and outputs tone data including a voice/tone flag. The outputs for a frame are then processed by either MBE parameter quantization unit  210  to produce voice bits, or by a tone quantization unit  215  to produce tone bits, depending on whether a tone signal was detected for the frame. Selector unit  220  selects the appropriate bits (tone bits if a tone signal is detected or voice bits if no tone signal is detected), and the selected bits are output to FEC encoding unit  225 , which combines the quantizer bits with redundant forward error correction (“FEC”) data to form the transmitted bit for the frame. The addition of redundant FEC data enables the decoder to correct and/or detect bit errors caused by degradation in the transmission channel. In certain implementations, parameter estimation unit  205  does not detect tone signals and tone quantization unit  215  and selector unit  220  are not provided. 
     In one implementation, a 3600 bps MBE vocoder that is well suited for use in next generation radio equipment has been developed. This half-rate implementation uses a 20 ms frame containing 72 bits, where the bits are divided into 23 FEC bits and 49 voice or tone bits. The 23 FEC bits are formed from one [24,12] extended Golay code and one [23,12] Golay code. The FEC bits protect the 24 most sensitive bits of the frame and can correct and/or detect certain bit error patterns in these protected bits. The remaining 25 bits are less sensitive to bit errors and are not protected. The voice bits are divided into 7 bits to quantize the fundamental frequency, 5 bits to vector quantize the voicing decisions over 8 frequency bands, and 37 bits to quantize the spectral magnitudes. To increase the ability to detect bit errors in the most sensitive bits, data dependent scrambling is applied to the [23,12] Golay code within FEC encoding unit  225 . A pseudo-random scrambling sequence is generated from a modulation key based on the 12 input bits to the [24,12] Golay code. An exclusive-OR then is used to combine this scrambling sequence with the 23 output bits from the [23,12] Golay encoder. Data dependent scrambling is described in U.S. Pat. Nos. 5,870,405 and 5,517,511, which are incorporated by reference. A [4×18] row-column interleaver is also applied to reduce the effect of burst errors. 
       FIG. 2  also shows a block diagram of a MBE decoder unit  230  that processes a frame of bits obtained from a received bit stream to produce an output digital speech signal. The MBE decoder includes FEC decoding unit  235  that corrects and/or detects bit errors in the received bit stream to produce voice or tone quantizer bits. The FEC decoding unit typically includes data dependent descrambling and deinterleaving as necessary to reverse the steps performed by the FEC encoder. The FEC decoder unit  235  may optionally use soft-decision bits, where each received bit is represented using more than two possible levels, in order to improve error control decoding performance. The quantizer bits for the frame are output by the FEC decoding unit  235  and processed by a parameter reconstruction unit  240  to reconstruct the MBE model parameters or tone parameters for the frame by inverting the quantization steps applied by the encoder. The resulting MBE or tone parameters then are used by a speech synthesis unit  245  to produce a synthetic digital speech signal or tone signal that is the output of the decoder. 
     In the described implementation, the FEC decoder unit  235  inverts the data dependent scrambling operation by first decoding the [24, 12] Golay code, to which no scrambling is applied, and then using the 12 output bits from the [24,12] Golay decoder to compute a modulation key. This modulation key is then used to compute a scrambling sequence which is applied to the 23 input bits prior to decoding the [23, 12] Golay code. Assuming the [24, 12] Golay code (containing the most important data) is decoded correctly, then the scrambling sequence applied by the encoder is completely removed. However if the [24, 12] Golay code is not decoded correctly, then the scrambling sequence applied by the encoder cannot be removed, causing many errors to be reported by the [23, 12] Golay decoder. This property is used by the FEC decoder to detect frames where the first 12 bits may have been decoded incorrectly. 
     The FEC decoder sums the number of corrected errors reported by both Golay decoders. If this sum is greater than or equal to 6, then the frame is declared invalid and the current frame of bits is not used during synthesis. Instead, the MBE synthesis unit  235  performs a frame repeat or a muting operation after three consecutive frame repeats. During a frame repeat, decoded parameters from a previous frame are used for the current frame. A low level “comfort noise” signal is output during a mute operation. 
     In one implementation of the half-rate vocoder shown in  FIG. 2 , the MBE parameter estimation unit  205  and the MBE synthesis unit  235  are generally the same as the corresponding units in the 7200 bps full-rate APCO P25 vocoder described in the APCO Project 25 Vocoder Description (TIA-102BABA). The sharing of these elements between the full-rate vocoder and the half-rate vocoder reduces the memory required to implement both vocoders, and thereby reduces the cost of implementing both vocoders in the same equipment. In addition, interoperability can be enhanced in this implementation by using the MBE transcoder methods disclosed in copending U.S. application Ser. No. 10/353,974, which was filed Jan. 30, 2003, is titled “Voice Transcoder,” and is incorporated by reference. Alternate implementations may include different analysis and synthesis techniques in order to improve quality while remaining interoperable with the half-rate bit stream described herein. For example a three-state voicing model (voiced, unvoiced or pulsed) may be used to reduce distortion for plosive and other transient sounds while remaining interoperable using the method described in copending U.S. application Ser. No. 10/292,460, which was filed Nov. 13, 2002, is titled “Interoperable Vocoder,” and is incorporated by reference. Similarly, a Voice Activity Detector (VAD) may be added to distinguish speech from background noise and/or noise suppression may be added to reduce the perceived amount of background noise. Another alternate implementation substitutes improved pitch and voicing estimation methods such as those described in U.S. Pat. Nos. 5,826,222 and 5,715,365 to improve voice quality. 
       FIG. 3  shows a MBE parameter estimator  300  that represents one implementation of the MBE parameter estimation unit  205  of  FIG. 2 . A high pass filter  305  filters a digital speech signal to remove any DC level from the signal. Next, the filtered signal is processed by a pitch estimation unit  310  to determine an initial pitch estimate for each 20 ms frame. The filtered speech is also provided to a windowing and FFT unit  315  that multiplies the filtered speech by a window function, such as a 221 point Hamming window, and uses an FFT to compute the spectrum of the windowed speech. 
     The initial pitch estimate and the spectrum are then processed further by a fundamental frequency estimator  320  to compute the fundamental frequency, f 0 , and the associated number of harmonics (L=0.4627/f 0 ) for the frame, where 0.4627 represents the typical vocoder bandwidth normalized by the sampling rate. These parameters are then further processed with the spectrum by a voicing decision generator  325  that computes the voicing measures, V 1  and a spectral magnitude generator  330  that computes the spectral magnitudes, M 1 , for each harmonic 1≦l≦L. 
     The spectrum optionally may be further processed by a tone detection unit  335  that detects certain tone signals, such as, for example, single frequency tones, DTMF tones, and call progress tones. Tone detection techniques are well known and may be performed by searching for peaks in the spectrum and determining that a tone signal is present if the energy around one or more located peaks exceeds some threshold (for example 99%) of the total energy in the spectrum. The tone data output from the tone detection element typically includes a voice/tone flag, a tone index to identify the tone if the voice/tone flag indicates a tone signal has been detected, and the estimated tone amplitude, A TONE . 
     The output  340  of the MBE parameter estimation includes the MBE parameters combined with any tone data. 
     The MBE parameter estimation technique shown in  FIG. 3  closely follows the method described in the APCO Project 25 Vocoder Description. Differences include having voicing decision generator  325  compute a separate voicing decision for each harmonic in the half-rate vocoder, rather than for each group of three or more harmonics, and having spectral magnitude generator  330  compute each spectral magnitude independent of the voicing decisions as described, for example, in U.S. Pat. No. 5,754,974, which is incorporated by reference. In addition, the optional tone detection unit  335  may be included in the half-rate vocoder to detect tone signals for transmission through the vocoder using special tone frames of bits which are recognized by the decoder. 
       FIG. 4  illustrates a MBE parameter quantization technique  400  that constitutes one implementation of the quantization performed by the MBE parameter quantization unit  210  of  FIG. 2 . Additional details regarding quantization can be found in U.S. Pat. No. 6,199,037 B1 and in the APCO Project 25 Vocoder Description, both of which are incorporated by reference. The described MBE parameter quantization method is typically only applied to voice signals, while detected tone signals are quantized using a separate tone quantizer. MBE parameters  405  are the input to the MBE parameter quantization technique. The MBE parameters  405  may be estimated using the techniques illustrated by  FIG. 3 . In one implementation, 42-49 bits per frame are used to quantize the MBE model parameters as shown in Table 1, where the number of bits can be independently selected for each frame in the range of 42-49 using an optional control parameter. 
     
       
         
               
             
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 MBE Parameter Bits 
               
             
          
           
               
                   
                 Parameter 
                 Bits per Frame 
               
               
                   
                   
               
               
                   
                 Fundamental Frequency 
                 7 
               
               
                   
                 Voicing Decisions 
                 5 
               
               
                   
                 Gain 
                 5 
               
               
                   
                 Spectral Magnitudes 
                 25–32 
               
               
                   
                 Total Bits 
                 42–49 
               
               
                   
                   
               
             
          
         
       
     
     In this implementation the fundamental frequency, f 0 , is typically quantized first using a fundamental frequency quantizer unit  410  that outputs 7 fundamental frequency bits, b fund , which may be computed according to Equation [1] as follows:
 
 b   fund =0, if  f   0 &gt;0.0503
 
 b   fund =119, if  f   0 &lt;0.00811
 
 b   fund =└−195.626−45.368*log 2 ( f   0 )┘, otherwise.  [1]
 
     The harmonic voicing measures, D 1 , and spectral magnitudes, M 1 , for 1≦l≦L, are next mapped from harmonics to voicing bands using a frequency mapping unit  415 . In one implementation, 8 voicing bands are used where the first voicing band covers frequencies [0, 500 Hz], the second voicing band covers [500, 1000 Hz], . . . , and the last voicing band covers frequencies [3500, 4000 Hz]. The output of frequency mapping unit  415  is the voicing band energy metric vener k  and the voicing band error metric lv k , for each voicing band k in the range 0≦k&lt;8. Each voicing band&#39;s energy metric, vener k , is computed by summing |M 1 | 2  over all harmonics in the k&#39;th voicing band, i.e. for b k &lt;l≦b k+1 , where b k  is given by:
 
 b   k =( k− 0.25)/(16 f   0 )┘  [2]
 
The voicing band metric verr k  is computed by summing D 1 ·|M 1 | 2  over b k &lt;l≦b k+1 , and the voicing band error metric lv k  is then computed from verr k  and vener k  as shown in Equation [3] below:
 
 lv   k =max[0.0, min[1.0, 0.5·(1.0−log 2 ( verr   k /( T   k   ·vener   k )))]]  [3]
         where max[x, y] returns the maximum of x or y and min[x, y] computes the minimum of x or y. The threshold value T k  is computed according to T k =Θ(k, 0.1309) from the threshold function Θ(k, ω 0 ) defined in Equation [37] of the APCO Project 25 Vocoder Description.       

     Once the voicing band energy metrics vener k  and the voicing band error metrics lv k  for each voicing band have been computed, the voicing decisions for the frame are jointly quantized using a 5-bit voicing band weighted vector quantizer unit  420  that, in one implementation, uses the voicing band subvector quantizer described in U.S. Pat. No. 6,199,037 B1, which is incorporated by reference. The voicing band weighted vector quantizer unit  420  outputs the voicing decision bits b vuv , where b vuv  denotes the index of the selected candidate vector x j (i) from a voicing band codebook. A 5-bit (32 element) voicing band codebook used in one implementation is shown in Table 2. 
                                                                 TABLE 2                   5 Bit Voicing Band Codebook                Index:   Candidate Vector:   Index:   Candidate Vector:           i   xj(i)   i   xj(i)                            0   0xFF   1   0xFF           2   0xFE   3   0xFE           4   0xFC   5   0xDF           6   0xEF   7   0xFB           8   0xF0   9   0xF8           10   0xE0   11   0xE1           12   0xC0   13   0xC0           14   0x80   15   0x80           16   0x00   17   0x00           18   0x00   19   0x00           20   0x00   21   0x00           22   0x00   23   0x00           24   0x00   25   0x00           26   0x00   27   0x00           28   0x00   29   0x00           30   0x00   31   0x00                        
Note that each candidate vector x j (i) shown in Table 2 is represented as an 8-bit hexadecimal number where each bit represents a single element of an 8 element codebook vector and x j (i)=1.0 if the bit corresponding to 2 7−j  is a 1 and x j (i)=0.0 if the bit corresponding to 2 7−j  is a 0. This notation is used to be consistent with the voicing band subvector quantizer described in U.S. Pat. No. 6,199,037 B1.
 
     One feature of the half-rate vocoder is that it includes multiple candidate vectors that each correspond to the same voicing state. For example, indices 16-31 in Table 2 all correspond to the all unvoiced state and indices 0 and 1 both correspond to the all voiced state. This feature provides an interoperable upgrade path for the vocoder that allows alternate implementations that could include pulsed or other improved voicing states. Initially, an encoder may only use the lowest valued index wherever two or more indices equate to the same voicing state. However, an upgraded encoder may use the higher valued indices to represent alternate related voicing states. The initial decoder would decode either the lowest or higher indices to the same voicing state (for example, indices 16-31 would all be decoded as all unvoiced), but upgraded decoders may decode these indices into related but different voicing states for improved performance. 
       FIG. 4  also depicts the processing of the spectral magnitudes by a logarithm computation unit  425  that computes the log spectral magnitudes, log 2 (M 1 ) for 1≦l≦L. The output log spectral magnitudes are then quantized by a log spectral magnitude quantizer unit  430  to produce output log spectral magnitude output bits. 
       FIG. 5  shows a log spectral magnitude quantization technique  500  that constitutes one implementation of the quantization performed by the quantization unit  430  of  FIG. 4 . The shaded section of  FIG. 5 , including elements  525 - 550 , shows a corresponding implementation of a log spectral magnitude reconstruction technique  555  that may be implemented within parameter reconstruction unit  240  of  FIG. 2  to reconstruct the log spectral magnitudes from the quantizer bits output by FEC decoding unit  235 . 
     Referring to  FIG. 5 , log spectral magnitudes for a frame (i.e., log 2 (M 1 ) for 1≦l≦L) are processed by mean computation unit  505  to compute and remove the mean from the log spectral magnitudes. The mean is output to the a gain quantizer unit  515  that computes the gain, G(0), for the current frame from the mean as shown in Equation [4]:
 
 G (0)=mean {log 2 ( M   1 )}+0.5·log 2 ( L )  [4]
 
The differential gain, Δ G , is then computed as:
 
Δ G   =G (0)−0.5 ·G (−1)  [5]
 
where G(−1) is the gain term from the prior frame after quantization and reconstruction. The differential gain, Δ G , is then quantized using a 5-bit non-uniform quantizer such as that shown in Table 3. The gain bits output by the quantizer are denoted as b gain .
 
     
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 3 
               
             
             
               
                   
               
               
                 5 Bit Differential Gain Codebook 
               
             
          
           
               
                   
                 Index: 
                 Differential Gain: 
                 Index: 
                 Candidate Vector: 
               
               
                   
                 i 
                 Δ G (i) 
                 i 
                 Δ G (i) 
               
               
                   
                   
               
             
          
           
               
                   
                 0 
                 −2.0 
                 1 
                 −0.67 
               
               
                   
                 2 
                 0.2979 
                 3 
                 0.6637 
               
               
                   
                 4 
                 1.0368 
                 5 
                 1.4381 
               
               
                   
                 6 
                 1.8901 
                 7 
                 2.2280 
               
               
                   
                 8 
                 2.4783 
                 9 
                 2.6676 
               
               
                   
                 10 
                 2.7936 
                 11 
                 2.8933 
               
               
                   
                 12 
                 3.0206 
                 13 
                 3.1386 
               
               
                   
                 14 
                 3.2376 
                 15 
                 3.3226 
               
               
                   
                 16 
                 3.4324 
                 17 
                 3.5719 
               
               
                   
                 18 
                 3.6967 
                 19 
                 3.8149 
               
               
                   
                 20 
                 3.9209 
                 21 
                 4.0225 
               
               
                   
                 22 
                 4.1236 
                 23 
                 4.2283 
               
               
                   
                 24 
                 4.3706 
                 25 
                 4.5437 
               
               
                   
                 26 
                 4.7077 
                 27 
                 4.8489 
               
               
                   
                 28 
                 5.0568 
                 29 
                 5.3265 
               
               
                   
                 30 
                 5.7776 
                 31 
                 6.8745 
               
               
                   
                   
               
             
          
         
       
     
     The mean computation unit  505  outputs zero-mean log spectral magnitudes to a subtraction unit  510  that subtracts predicted magnitudes to produce a set of magnitude prediction residuals. The magnitude prediction residuals are input to a quantization unit  520  that produces magnitude prediction residual parameter bits. 
     These magnitude prediction residual parameter bits are also fed to the reconstruction technique  555  depicted in the shaded region of  FIG. 5 . In particular, inverse magnitude prediction residual quantization unit  525  computes reconstructed magnitude prediction residuals using the input bits, and provides the reconstructed magnitude prediction residuals to a summation unit  530  that adds them to the predicted magnitudes to form reconstructed zero-mean log spectral magnitudes that are stored in a frame storage element  535 . 
     The zero-mean log spectral magnitudes stored from a prior frame are processed in conjunction with reconstructed fundamental frequencies for the current and prior frames by predicted magnitude computation unit  540  and then scaled by a scaling unit  545  to form predicted magnitudes that are applied to difference unit  510  and summation unit  530 . Predicted magnitude computation unit  540  typically interpolates the reconstructed log spectral magnitudes from a prior frame based on the ratio of the reconstructed fundamental frequency from the current frame to the reconstructed fundamental frequency of the prior frame. This interpolation is followed by application by the scaling unit  545  of a scale factor ρ that normally is less than 1.0 (ρ=0.65 is typical, and in some implementations ρ may be varied depending on the number of spectral magnitudes in the frame). 
     In addition, the mean is then reconstructed from the gain bits and from the stored value of G(−1) in a mean reconstruction unit  550  that also adds the reconstructed mean to the reconstructed magnitude prediction residuals to produce reconstructed log spectral magnitudes  560 . 
     In the implementation shown in  FIG. 5 , quantization unit  520  and inverse quantization unit  525  accept an optional control parameter that allows the number of bits per frame to be selected within some allowable range of bits (for example 25-32 bits per frame). Typically, the bits per frame are varied by using only a subset of the allowable quantization vectors in quantization unit  510  and inverse quantization unit  515  as further described below. This same control parameter can be used in several ways to vary the number of bits per frame over a wider range if necessary. For example, this may be done by also reducing the number of bits from the gain quantizer by searching only the even indices 0, 2, 4, 6, . . . 32 in Table 3. This method can also be applied to the fundamental frequency or voicing quantizer.  FIG. 6  shows a magnitude prediction residual quantization technique  600  that constitutes one implementation of the quantization performed by the quantization unit  520  of  FIG. 5 . First, a block divider  605  divides magnitude prediction residuals into four blocks, with the length of each block typically being determined by the number of harmonics, L, as shown in Table 4. Lower frequency blocks are generally equal or smaller in size compared to higher frequency blocks to improve performance by placing more emphasis on the perceptually more important low frequency regions. Each block is then transformed with a separate Discrete Cosine Transform (DCT) unit  610  and the DCT coefficients are divided into an eight element PRBA vector (using the first two DCT coefficients of each block) and four HOC vectors (one for each block consisting of all but the first two DCT coefficients) by a PRBA and HOC vector formation unit  615 . The formation of the PRBA vector uses the first two DCT coefficients for each block transformed and arranged as follows:
 
 PRBA (0)=Block 0 (0)+1.414·Block 0 (1)
 
 PRBA (1)=Block 0 (0)−1.414·Block 0 (1)
 
 PRBA (2)=Block 1 (0)+1.414·Block 1 (1)
 
 PRBA (3)=Block 1 (0)−1.414·Block 1 (1)
 
 PRBA (4)=Block 2 (0)+1.414·Block 2 (1)
 
 PRBA (5)=Block 2 (0)−1.414·Block 2 (1)
 
 PRBA (6)=Block 3 (0)+1.414·Block 3 (1)
 
 PRBA (7)=Block 3 (0)−1.414·Block 3 (1)  [6]
 
where PRBA(n) is the n&#39;th element of the PRBA vector and Block j (k) is the k&#39;th element of the j&#39;th block.
 
     
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 4 
               
             
             
               
                   
               
               
                 Magnitude Prediction Residual Block Size 
               
             
          
           
               
                 L 
                 Block 0   
                 Block 1   
                 Block 2   
                 Block 3   
               
               
                   
               
             
          
           
               
                 9 
                 2 
                 2 
                 2 
                 3 
               
               
                 10 
                 2 
                 2 
                 3 
                 3 
               
               
                 11 
                 2 
                 3 
                 3 
                 3 
               
               
                 12 
                 2 
                 3 
                 3 
                 4 
               
               
                 13 
                 3 
                 3 
                 3 
                 4 
               
               
                 14 
                 3 
                 3 
                 4 
                 4 
               
               
                 15 
                 3 
                 3 
                 4 
                 5 
               
               
                 16 
                 3 
                 4 
                 4 
                 5 
               
               
                 17 
                 3 
                 4 
                 5 
                 5 
               
               
                 18 
                 4 
                 4 
                 5 
                 5 
               
               
                 19 
                 4 
                 4 
                 5 
                 6 
               
               
                 20 
                 4 
                 4 
                 6 
                 6 
               
               
                 21 
                 4 
                 5 
                 6 
                 6 
               
               
                 22 
                 4 
                 5 
                 6 
                 7 
               
               
                 23 
                 5 
                 5 
                 6 
                 7 
               
               
                 24 
                 5 
                 5 
                 7 
                 7 
               
               
                 25 
                 5 
                 6 
                 7 
                 7 
               
               
                 26 
                 5 
                 6 
                 7 
                 8 
               
               
                 27 
                 5 
                 6 
                 8 
                 8 
               
               
                 28 
                 6 
                 6 
                 8 
                 8 
               
               
                 29 
                 6 
                 6 
                 8 
                 9 
               
               
                 30 
                 6 
                 7 
                 8 
                 9 
               
               
                 31 
                 6 
                 7 
                 9 
                 9 
               
               
                 32 
                 6 
                 7 
                 9 
                 10 
               
               
                 33 
                 7 
                 7 
                 9 
                 10 
               
               
                 34 
                 7 
                 8 
                 9 
                 10 
               
               
                 35 
                 7 
                 8 
                 10 
                 10 
               
               
                 36 
                 7 
                 8 
                 10 
                 11 
               
               
                 37 
                 8 
                 8 
                 10 
                 11 
               
               
                 38 
                 8 
                 9 
                 10 
                 11 
               
               
                 39 
                 8 
                 9 
                 11 
                 11 
               
               
                 40 
                 8 
                 9 
                 11 
                 12 
               
               
                 41 
                 8 
                 9 
                 11 
                 13 
               
               
                 42 
                 8 
                 9 
                 12 
                 13 
               
               
                 43 
                 8 
                 10 
                 12 
                 13 
               
               
                 44 
                 9 
                 10 
                 12 
                 13 
               
               
                 45 
                 9 
                 10 
                 12 
                 14 
               
               
                 46 
                 9 
                 10 
                 13 
                 14 
               
               
                 47 
                 9 
                 11 
                 13 
                 14 
               
               
                 48 
                 10 
                 11 
                 13 
                 14 
               
               
                 49 
                 10 
                 11 
                 13 
                 15 
               
               
                 50 
                 10 
                 11 
                 14 
                 15 
               
               
                 51 
                 10 
                 12 
                 14 
                 15 
               
               
                 52 
                 10 
                 12 
                 14 
                 16 
               
               
                 53 
                 11 
                 12 
                 14 
                 16 
               
               
                 54 
                 11 
                 12 
                 15 
                 16 
               
               
                 55 
                 11 
                 12 
                 15 
                 17 
               
               
                 56 
                 11 
                 13 
                 15 
                 17 
               
               
                   
               
             
          
         
       
     
     The PRBA vector is processed further using an eight-point DCT followed by a split vector quantizer unit  620  to produce PRBA bits. In one implementation, the first PRBA DCT coefficient (designated R 0 ) is ignored since it is redundant with the Gain value quantized separately. Alternately, this first PRBA DCT coefficient can be quantized in place of the gain as described in the APCO Project 25 Vocoder Description. The final seven PRBA DCT coefficients [R 1 -R 7 ] are then quantized with a split vector quantizer that uses a nine-bit codebook to quantize the three elements [R 1 -R 3 ] to produce PRBA quantizer bits b PRBA13  and a seven-bit codebook is used to quantize the four elements [R 4 -R 7 ] to produce PRBA quantizer bits b PRBA47 . These 16 PRBA quantizer bits (b PRBA13  and b PRBA47 ) are then output from the quantizer. Typical split VQ codebooks used to quantize the PRBA vector are given in Appendix A. 
     The four HOC vectors, designated HOC 0 , HOC 1 , HOC 2  and HOC 3 , are then quantized using four separate codebooks  625 . In one implementation, a five-bit codebook is used for HOC 0  to produce HOC 0  quantizer bits b HOC0 ; four-bit codebooks are used for HOC 1  and HOC 2  to produce HOC 1  quantizer bits b HOC1  and HOC 2  quantizer bits b HOC2 ; and a 3 bit codebook is used for HOC 3  to produce HOC 3  quantizer bits b HOC3 . Typical codebooks used to quantize the HOC vectors in this implementation are shown in Appendix B. Note that each HOC vector can vary in length between 0 and 15 elements. However, the codebooks are designed for a maximum of four elements per vector. If a HOC vector has less than four elements, then only the first elements of each codebook vector are used by the quantizer. Alternately, if the HOC vector has more than four elements, then only the first four elements are used and all other elements in that HOC vector are set equal to zero. Once all the HOC vectors are quantized, the 16 HOC quantizer bits (b HOC0 , b HOC1 , b HOC2 , and b HOC3 ) are output by the quantizer 
     In the implementation shown in  FIG. 6 , the vector quantizer units  620  and/or  625  accept an optional control parameter that allows the number of bits per frame used to quantize the PRBA and HOC vectors to be selected within some allowable range of bits. Typically, the bits per frame are reduced from the nominal value of 32 by using only a subset of the allowable quantization vectors in one or more of the codebooks used by the quantizer. For example, if only the even candidate vectors in a codebook are used, then the last bit of the codebook index is known to be a zero, allowing the number of bits to be reduced by one. This can be extended to every fourth vector to allow the number of bits to be reduced by two. 
     At the decoder, the codebook index is reconstructed by appending the appropriate number of ‘0’ bits in place of any missing bits to allow the quantized codebook vector to be determined. This approach is applied to one or more of the HOC and/or PRBA codebooks to obtain the selected number of bits for the frame as shown in Table 5, where the number of magnitude prediction residual quantizer bits is typically determined as an offset from the number of voice bits in the frame (i.e., the number of voice bits minus 17). 
     
       
         
               
             
               
               
               
               
               
               
               
             
           
               
                 TABLE 5 
               
             
             
               
                   
               
               
                 Magnitude Prediction Residual Quantizer Bits per Frame 
               
             
          
           
               
                 Magnitude 
                   
                   
                   
                   
                   
                   
               
               
                 Prediction 
               
               
                 Residual 
               
               
                 Quantizer 
               
               
                 Bits per 
                 PRBA 
                 PRBA 
               
               
                 Frame 
                 [R–R3] 
                 [R4–R7] 
                 HOC0 
                 HOC1 
                 HOC2 
                 HOC3 
               
               
                   
               
               
                 32 
                 9 
                 7 
                 5 
                 4 
                 4 
                 3 
               
               
                 31 
                 9 
                 7 
                 5 
                 4 
                 4 
                 2 
               
               
                 30 
                 9 
                 7 
                 5 
                 4 
                 4 
                 1 
               
               
                 29 
                 9 
                 7 
                 5 
                 4 
                 3 
                 1 
               
               
                 28 
                 9 
                 7 
                 5 
                 3 
                 3 
                 1 
               
               
                 27 
                 9 
                 7 
                 4 
                 3 
                 3 
                 1 
               
               
                 26 
                 9 
                 6 
                 4 
                 3 
                 3 
                 1 
               
               
                 25 
                 8 
                 6 
                 4 
                 3 
                 3 
                 1 
               
               
                   
               
             
          
         
       
     
     Referring to  FIG. 4 , combining unit  435  receives fundamental frequency or pitch bits b fund , voicing bits b vuv , gain bits b gain , and spectral bits b PRBA13 , b PRBA47 , b HOC0 , b HOC1 , b HOC2 , and b HOC , from quantizer units  410 ,  420  and  430 . Typically, combining unit  435  prioritizes these input bits to produce output voice bits such that the first voice bits in the frame are more sensitive to bit errors, while the later voice bits in the frame are less sensitive to bit errors. This prioritization allows FEC to be applied efficiently to the most sensitive voice bits, resulting in improved voice quality and robustness in degraded communication channels. In one such implementation, the first 12 voice bits in a frame output by combining unit  435  consist of the four most significant fundamental frequency bits, followed by the first four voicing decision bits and the four most significant gain bits. The resulting voice frame format (i.e., the ordering of the output voice bits after prioritization by combining unit  435 ) is shown in Table 6. 
     
       
         
               
             
               
               
             
           
               
                 TABLE 6 
               
             
             
               
                   
               
               
                 Voice Frame Format 
               
             
          
           
               
                 Bit Position in 
                   
               
               
                 Voice Frame 
                 Voice Bits 
               
               
                   
               
               
                 0–3 
                 4 most significant bits of b fund   
               
               
                 4–7 
                 4 most significant bits of b vuv   
               
               
                  8–11 
                 4 most significant bits of b gain   
               
               
                 12–19 
                 8 most significant bits of b PBBA13   
               
               
                 20–23 
                 4 most significant bits of b PBBA47   
               
               
                 24–27 
                 4 most significant bits of b HOC0   
               
               
                 28–30 
                 3 most significant bits of b HOC1   
               
               
                 31–33 
                 3 most significant bits of b HOC2   
               
               
                 34 
                 1 most significant bit of b HOC3   
               
               
                 35 
                 1 least significant bit ofb vuv   
               
               
                 36 
                 1 least significant bit of b gain   
               
               
                 37–39 
                 3 least significant bits of b fund   
               
               
                 40 
                 1 least significant bit of b PBBA13   
               
               
                 41–43 
                 3 least significant bits of b PBBA47   
               
               
                 44 
                 1 least significant bits of b HOC0   
               
               
                 45 
                 1 least significant bits of b HOC1   
               
               
                 46 
                 1 least significant bits of b HOC2   
               
               
                 47–48 
                 2 least significant bits of b HOC3   
               
               
                   
               
             
          
         
       
     
     Referring again to  FIG. 2 , the encoder may include a tone quantization unit  215  that outputs a frame of tone bits (i.e., a tone frame) if certain tone signals (such as a single frequency tone, Knox tones, a DTMF tone and/or a call progress tone) are detected in the encoder input signal. In one implementation, tone bits are generated as shown in Table 7, where the first 6 bits are all ones (hexadecimal value 0x3F) to allow the decoder to uniquely identify a tone frame from other frames containing voice bits (i.e., voice frames). This unique differentiation is possible because of limits on the value of b fund  imposed by Equation [1], which prevent the tone frame identifier value (0x3F) from ever occurring for voice frames and because the tone frame identifier overlaps the same position in the frame as the four most significant pitch bits, b fund , as shown in Table 6. The seven tone amplitude bits b TONEAMP  are computed from the estimated tone amplitude, A TONE , as follows:
 
 b   TONEAMP =max[0, min[127, 8.467·(log 2 (A TONE )+1)]]  [4]
 
while the 8-bit tone index, b TONE  used to represent a given tone signal is shown in Appendix C. Typically, the tone index b TONE  is repeated several times within a tone frame in order to increase robustness to channel errors. This is depicted in Table 7, where the tone index is repeated four times within the frame of 49 bits.
 
     
       
         
               
             
               
               
             
           
               
                 TABLE 7 
               
             
             
               
                   
               
               
                 Tone Frame Format 
               
             
          
           
               
                 Bit Position in 
                   
               
               
                 Frame 
                 Tone Bits 
               
               
                   
               
               
                 0–5 
                 0x3F 
               
               
                  6–11 
                 first 6 most significant bits of b TONEAMP   
               
               
                 12–19 
                 b TONE   
               
               
                 20–27 
                 b TONE   
               
               
                 28–35 
                 b TONE   
               
               
                 36–43 
                 b TONE   
               
               
                 44 
                 7&#39;th least significant bit of b TONEAMP   
               
               
                 45–48 
                 0 
               
               
                   
               
             
          
         
       
     
     While the techniques are described largely in the context of a new half-rate MBE vocoder, the described techniques may be readily applied to other systems and/or vocoders. For example, other MBE type vocoders may also benefit from the techniques regardless of the bit rate or frame size. In addition, the techniques described may be applicable to many other speech coding systems that use a different speech model with alternative parameters (such as STC, MELP, MB-HTC, CELP, HVXC or others) or which use different methods for analysis, quantization and/or synthesis. Other implementations are within the scope of the following claims. 
     APPENDIX A 
     PRBA Codebooks 
     
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE A.1 
               
             
             
               
                   
               
               
                 PRBA13 Codebook 
               
             
          
           
               
                   
                 Codebook 
                   
                   
                   
               
               
                   
                 Index 
                 PRBA13(0) 
                 PRBA13(1) 
                 PRBA13(2) 
               
               
                   
                   
               
             
          
           
               
                   
                 0 
                 0.526055 
                 −0.328567 
                 −0.304727 
               
               
                   
                 1 
                 0.441044 
                 −0.303127 
                 −0.201114 
               
               
                   
                 2 
                 1.030896 
                 −0.324730 
                 −0.397204 
               
               
                   
                 3 
                 0.839696 
                 −0.351933 
                 −0.224909 
               
               
                   
                 4 
                 0.272958 
                 −0.176118 
                 −0.098893 
               
               
                   
                 5 
                 0.221466 
                 −0.160045 
                 −0.061026 
               
               
                   
                 6 
                 0.496555 
                 −0.211499 
                 0.047305 
               
               
                   
                 7 
                 0.424376 
                 −0.223752 
                 0.069911 
               
               
                   
                 8 
                 0.264531 
                 −0.353355 
                 −0.330505 
               
               
                   
                 9 
                 0.273650 
                 −0.253004 
                 −0.250241 
               
               
                   
                 10 
                 0.484531 
                 −0.297627 
                 −0.071051 
               
               
                   
                 11 
                 0.410814 
                 −0.224961 
                 −0.084998 
               
               
                   
                 12 
                 0.039519 
                 −0.252904 
                 −0.115128 
               
               
                   
                 13 
                 0.017423 
                 −0.296519 
                 −0.045921 
               
               
                   
                 14 
                 0.225113 
                 −0.224371 
                 0.037882 
               
               
                   
                 15 
                 0.183424 
                 −0.260492 
                 0.050491 
               
               
                   
                 16 
                 0.308704 
                 −0.073205 
                 −0.405880 
               
               
                   
                 17 
                 0.213125 
                 −0.101632 
                 −0.333208 
               
               
                   
                 18 
                 0.617735 
                 −0.137299 
                 −0.213670 
               
               
                   
                 19 
                 0.514382 
                 −0.126485 
                 −0.170204 
               
               
                   
                 20 
                 0.130009 
                 −0.076955 
                 −0.229303 
               
               
                   
                 21 
                 0.061740 
                 −0.108259 
                 −0.203887 
               
               
                   
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                 −0.184971 
                 0.396532 
                 0.057728 
               
               
                   
                 505 
                 −0.293313 
                 0.400259 
                 0.001123 
               
               
                   
                 506 
                 −0.015219 
                 0.232287 
                 0.177913 
               
               
                   
                 507 
                 −0.022524 
                 0.244724 
                 0.240753 
               
               
                   
                 508 
                 −0.520342 
                 0.347950 
                 0.249265 
               
               
                   
                 509 
                 −0.671997 
                 0.410782 
                 0.153434 
               
               
                   
                 510 
                 −0.253089 
                 0.412356 
                 0.489854 
               
               
                   
                 511 
                 −0.410922 
                 0.562454 
                 0.543891 
               
               
                   
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE A.2 
               
             
             
               
                   
               
               
                 PRBA47 Codebook 
               
             
          
           
               
                 Codebook 
                   
                   
                   
                   
               
               
                 Index 
                 PRBA47(0) 
                 PRBA47(1) 
                 PRBA47(2) 
                 PRBA47(3) 
               
               
                   
               
             
          
           
               
                 0 
                 −0.103660 
                 0.094597 
                 −0.013149 
                 0.081501 
               
               
                 1 
                 −0.170709 
                 0.129958 
                 −0.057316 
                 0.112324 
               
               
                 2 
                 −0.095113 
                 0.080892 
                 −0.027554 
                 0.003371 
               
               
                 3 
                 −0.154153 
                 0.113437 
                 −0.074522 
                 0.003446 
               
               
                 4 
                 −0.109553 
                 0.153519 
                 0.006858 
                 0.040930 
               
               
                 5 
                 −0.181931 
                 0.217882 
                 −0.019042 
                 0.040049 
               
               
                 6 
                 −0.096246 
                 0.144191 
                 −0.024147 
                 −0.035120 
               
               
                 7 
                 −0.174811 
                 0.193357 
                 −0.054261 
                 −0.071700 
               
               
                 8 
                 −0.183241 
                 −0.052840 
                 0.117923 
                 0.030960 
               
               
                 9 
                 −0.242634 
                 0.009075 
                 0.098007 
                 0.091643 
               
               
                 10 
                 −0.143847 
                 −0.028529 
                 0.040171 
                 −0.002812 
               
               
                 11 
                 −0.198809 
                 0.006990 
                 0.020668 
                 0.026641 
               
               
                 12 
                 −0.233172 
                 −0.028793 
                 0.140130 
                 −0.071927 
               
               
                 13 
                 −0.309313 
                 0.056873 
                 0.108262 
                 −0.018930 
               
               
                 14 
                 −0.172782 
                 −0.002037 
                 0.048755 
                 −0.087065 
               
               
                 15 
                 −0.242901 
                 0.036076 
                 0.015064 
                 −0.064366 
               
               
                 16 
                 0.077107 
                 0.172685 
                 0.159939 
                 0.097456 
               
               
                 17 
                 0.024820 
                 0.209676 
                 0.087347 
                 0.105204 
               
               
                 18 
                 0.085113 
                 0.151639 
                 0.084272 
                 0.022747 
               
               
                 19 
                 0.047975 
                 0.196695 
                 0.038770 
                 0.029953 
               
               
                 20 
                 0.113925 
                 0.236813 
                 0.176121 
                 0.016635 
               
               
                 21 
                 0.009708 
                 0.267969 
                 0.127660 
                 0.015872 
               
               
                 22 
                 0.114044 
                 0.202311 
                 0.096892 
                 −0.043071 
               
               
                 23 
                 0.047219 
                 0.260395 
                 0.050952 
                 −0.046996 
               
               
                 24 
                 −0.055095 
                 0.034041 
                 0.200464 
                 0.039050 
               
               
                 25 
                 −0.061582 
                 0.069566 
                 0.113048 
                 0.027511 
               
               
                 26 
                 −0.025469 
                 0.040440 
                 0.132777 
                 −0.039098 
               
               
                 27 
                 −0.031388 
                 0.064010 
                 0.067559 
                 −0.017117 
               
               
                 28 
                 −0.074386 
                 0.086579 
                 0.228232 
                 −0.055461 
               
               
                 29 
                 −0.107352 
                 0.120874 
                 0.137364 
                 −0.030252 
               
               
                 30 
                 −0.036897 
                 0.089972 
                 0.155831 
                 −0.128475 
               
               
                 31 
                 −0.059070 
                 0.097879 
                 0.084489 
                 −0.075821 
               
               
                 32 
                 −0.050865 
                 −0.025167 
                 −0.086636 
                 0.011256 
               
               
                 33 
                 −0.051426 
                 0.013301 
                 −0.144665 
                 0.038541 
               
               
                 34 
                 −0.073831 
                 −0.028917 
                 −0.142416 
                 −0.025268 
               
               
                 35 
                 −0.083910 
                 0.015004 
                 −0.227113 
                 −0.002808 
               
               
                 36 
                 −0.030840 
                 −0.009326 
                 −0.070517 
                 −0.041304 
               
               
                 37 
                 −0.022018 
                 0.029381 
                 −0.124961 
                 −0.031624 
               
               
                 38 
                 −0.064222 
                 −0.014640 
                 −0.108798 
                 −0.092342 
               
               
                 39 
                 −0.038801 
                 0.038133 
                 −0.188992 
                 −0.094221 
               
               
                 40 
                 −0.154059 
                 −0.183932 
                 −0.019894 
                 0.082105 
               
               
                 41 
                 −0.188022 
                 −0.113072 
                 −0.117380 
                 0.090911 
               
               
                 42 
                 −0.243301 
                 −0.207086 
                 −0.053735 
                 −0.001975 
               
               
                 43 
                 −0.275931 
                 −0.121035 
                 −0.161261 
                 0.004231 
               
               
                 44 
                 −0.118142 
                 −0.157537 
                 −0.036594 
                 −0.008679 
               
               
                 45 
                 −0.153627 
                 −0.111372 
                 −0.103095 
                 −0.009460 
               
               
                 46 
                 −0.173458 
                 −0.180158 
                 −0.057130 
                 −0.103198 
               
               
                 47 
                 −0.208509 
                 −0.127679 
                 −0.149336 
                 −0.109289 
               
               
                 48 
                 0.096310 
                 0.047927 
                 −0.024094 
                 −0.057018 
               
               
                 49 
                 0.044289 
                 0.075486 
                 −0.008505 
                 −0.067635 
               
               
                 50 
                 0.076751 
                 0.025560 
                 −0.066428 
                 −0.102991 
               
               
                 51 
                 0.025215 
                 0.090417 
                 −0.058616 
                 −0.114284 
               
               
                 52 
                 0.125980 
                 0.070078 
                 0.016282 
                 −0.112355 
               
               
                 53 
                 0.070859 
                 0.118988 
                 0.001180 
                 −0.116359 
               
               
                 54 
                 0.097520 
                 0.059219 
                 −0.026821 
                 −0.172850 
               
               
                 55 
                 0.048226 
                 0.145459 
                 −0.050093 
                 −0.188853 
               
               
                 56 
                 0.007242 
                 −0.135796 
                 0.147832 
                 −0.034080 
               
               
                 57 
                 0.012843 
                 −0.069616 
                 0.077139 
                 −0.047909 
               
               
                 58 
                 −0.050911 
                 −0.116323 
                 0.082521 
                 −0.056362 
               
               
                 59 
                 −0.039630 
                 −0.055678 
                 0.036066 
                 −0.067992 
               
               
                 60 
                 0.042694 
                 −0.091527 
                 0.150940 
                 −0.124225 
               
               
                 61 
                 0.029225 
                 −0.039401 
                 0.071664 
                 −0.113665 
               
               
                 62 
                 −0.025085 
                 −0.099013 
                 0.074622 
                 −0.138674 
               
               
                 63 
                 −0.031220 
                 −0.035717 
                 0.020870 
                 −0.143376 
               
               
                 64 
                 0.040638 
                 0.087903 
                 −0.049500 
                 0.094607 
               
               
                 65 
                 0.026860 
                 0.125924 
                 −0.103449 
                 0.140882 
               
               
                 66 
                 0.075166 
                 0.110186 
                 −0.115173 
                 0.067330 
               
               
                 67 
                 0.036642 
                 0.163193 
                 −0.188762 
                 0.103724 
               
               
                 68 
                 0.028179 
                 0.095124 
                 −0.053258 
                 0.028900 
               
               
                 69 
                 0.002307 
                 0.148211 
                 −0.096037 
                 0.046189 
               
               
                 70 
                 0.072227 
                 0.137595 
                 −0.095629 
                 0.001339 
               
               
                 71 
                 0.033308 
                 0.221480 
                 −0.152201 
                 0.012125 
               
               
                 72 
                 0.003458 
                 −0.085112 
                 0.041850 
                 0.113836 
               
               
                 73 
                 −0.040610 
                 −0.044880 
                 0.029732 
                 0.177011 
               
               
                 74 
                 0.011404 
                 −0.054324 
                 −0.012426 
                 0.077815 
               
               
                 75 
                 −0.042413 
                 −0.030930 
                 −0.034844 
                 0.122946 
               
               
                 76 
                 −0.002206 
                 −0.045698 
                 0.050651 
                 0.054886 
               
               
                 77 
                 −0.041729 
                 −0.016110 
                 0.048005 
                 0.102125 
               
               
                 78 
                 0.013963 
                 −0.022204 
                 0.001613 
                 0.028997 
               
               
                 79 
                 −0.030218 
                 −0.002052 
                 −0.004365 
                 0.065343 
               
               
                 80 
                 0.299049 
                 0.046260 
                 0.076320 
                 0.070784 
               
               
                 81 
                 0.250160 
                 0.098440 
                 0.012590 
                 0.137479 
               
               
                 82 
                 0.254170 
                 0.095310 
                 0.018749 
                 0.004288 
               
               
                 83 
                 0.218892 
                 0.145554 
                 −0.035161 
                 0.069784 
               
               
                 84 
                 0.303486 
                 0.101424 
                 0.135996 
                 −0.013096 
               
               
                 85 
                 0.262919 
                 0.165133 
                 0.077237 
                 0.071721 
               
               
                 86 
                 0.319358 
                 0.170283 
                 0.054554 
                 −0.072210 
               
               
                 87 
                 0.272983 
                 0.231181 
                 −0.014471 
                 0.011689 
               
               
                 88 
                 0.134116 
                 −0.026693 
                 0.161400 
                 0.110292 
               
               
                 89 
                 0.100379 
                 0.026517 
                 0.086236 
                 0.130478 
               
               
                 90 
                 0.144718 
                 −0.000895 
                 0.093767 
                 0.044514 
               
               
                 91 
                 0.114943 
                 0.022145 
                 0.035871 
                 0.069193 
               
               
                 92 
                 0.122051 
                 0.011043 
                 0.192803 
                 0.022796 
               
               
                 93 
                 0.079482 
                 0.026156 
                 0.117725 
                 0.056565 
               
               
                 94 
                 0.124641 
                 0.027387 
                 0.122956 
                 −0.025369 
               
               
                 95 
                 0.090708 
                 0.027357 
                 0.064450 
                 0.013058 
               
               
                 96 
                 0.159781 
                 −0.055202 
                 −0.090597 
                 0.151598 
               
               
                 97 
                 0.084577 
                 −0.037203 
                 −0.126698 
                 0.119739 
               
               
                 98 
                 0.192484 
                 −0.100195 
                 −0.162066 
                 0.104148 
               
               
                 99 
                 0.114579 
                 −0.046270 
                 −0.219547 
                 0.100067 
               
               
                 100 
                 0.153083 
                 −0.010127 
                 −0.086266 
                 0.068648 
               
               
                 101 
                 0.088202 
                 −0.010515 
                 −0.102196 
                 0.046281 
               
               
                 102 
                 0.164494 
                 −0.057325 
                 −0.132860 
                 0.024093 
               
               
                 103 
                 0.109419 
                 −0.013999 
                 −0.169596 
                 0.020412 
               
               
                 104 
                 0.039180 
                 −0.209168 
                 −0.035872 
                 0.087949 
               
               
                 105 
                 0.012790 
                 −0.177723 
                 −0.129986 
                 0.073364 
               
               
                 106 
                 0.045261 
                 −0.256694 
                 −0.088186 
                 0.004212 
               
               
                 107 
                 −0.005314 
                 −0.231202 
                 −0.191671 
                 −0.002628 
               
               
                 108 
                 0.037963 
                 −0.153227 
                 −0.045364 
                 0.003322 
               
               
                 109 
                 0.030800 
                 −0.126452 
                 −0.114266 
                 −0.010414 
               
               
                 110 
                 0.044125 
                 −0.184146 
                 −0.081400 
                 −0.077341 
               
               
                 111 
                 0.029204 
                 −0.157393 
                 −0.172017 
                 −0.089814 
               
               
                 112 
                 0.393519 
                 −0.043228 
                 −0.111365 
                 −0.000740 
               
               
                 113 
                 0.289581 
                 0.018928 
                 −0.123140 
                 0.000713 
               
               
                 114 
                 0.311229 
                 −0.059735 
                 −0.198982 
                 −0.081664 
               
               
                 115 
                 0.258659 
                 0.052505 
                 −0.211913 
                 −0.034928 
               
               
                 116 
                 0.300693 
                 0.011381 
                 −0.083545 
                 −0.086683 
               
               
                 117 
                 0.214523 
                 0.053878 
                 −0.101199 
                 −0.061018 
               
               
                 118 
                 0.253422 
                 0.028496 
                 −0.156752 
                 −0.163342 
               
               
                 119 
                 0.199123 
                 0.113877 
                 −0.166220 
                 −0.102584 
               
               
                 120 
                 0.249134 
                 −0.165135 
                 0.028917 
                 0.051838 
               
               
                 121 
                 0.156434 
                 −0.123708 
                 0.017053 
                 0.043043 
               
               
                 122 
                 0.214763 
                 −0.101243 
                 −0.005581 
                 −0.020703 
               
               
                 123 
                 0.140554 
                 −0.072067 
                 −0.015063 
                 −0.011165 
               
               
                 124 
                 0.241791 
                 −0.152048 
                 0.106403 
                 −0.046857 
               
               
                 125 
                 0.142316 
                 −0.131899 
                 0.054076 
                 −0.026485 
               
               
                 126 
                 0.206535 
                 −0.086116 
                 0.046640 
                 −0.097615 
               
               
                 127 
                 0.129759 
                 −0.081874 
                 0.004693 
                 −0.073169 
               
               
                   
               
             
          
         
       
     
     APPENDIX B 
     HOC Codebooks 
     
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE B.1 
               
             
             
               
                   
               
               
                 HOC0 Codebook 
               
             
          
           
               
                 Codebook 
                   
                   
                   
                   
               
               
                 Index 
                 HOC0(0) 
                 HOC0(1) 
                 HOC0(2) 
                 HOC0(3) 
               
               
                   
               
             
          
           
               
                 0 
                 0.264108 
                 0.045976 
                 −0.200999 
                 −0.122344 
               
               
                 1 
                 0.479006 
                 0.227924 
                 −0.016114 
                 −0.006835 
               
               
                 2 
                 0.077297 
                 0.080775 
                 −0.068936 
                 0.041733 
               
               
                 3 
                 0.185486 
                 0.231840 
                 0.182410 
                 0.101613 
               
               
                 4 
                 −0.012442 
                 0.223718 
                 −0.277803 
                 −0.034370 
               
               
                 5 
                 −0.059507 
                 0.139621 
                 −0.024708 
                 −0.104205 
               
               
                 6 
                 −0.248676 
                 0.255502 
                 −0.134894 
                 −0.058338 
               
               
                 7 
                 −0.055122 
                 0.427253 
                 0.025059 
                 −0.045051 
               
               
                 8 
                 −0.058898 
                 −0.061945 
                 0.028030 
                 −0.022242 
               
               
                 9 
                 0.084153 
                 0.025327 
                 0.066780 
                 −0.180839 
               
               
                 10 
                 −0.193125 
                 −0.082632 
                 0.140899 
                 −0.089559 
               
               
                 11 
                 0.000000 
                 0.033758 
                 0.276623 
                 0.002493 
               
               
                 12 
                 −0.396582 
                 −0.049543 
                 −0.118100 
                 −0.208305 
               
               
                 13 
                 −0.287112 
                 0.096620 
                 0.049650 
                 −0.079312 
               
               
                 14 
                 −0.543760 
                 0.171107 
                 −0.062173 
                 −0.010483 
               
               
                 15 
                 −0.353572 
                 0.227440 
                 0.230128 
                 −0.032089 
               
               
                 16 
                 0.248579 
                 −0.279824 
                 −0.209589 
                 0.070903 
               
               
                 17 
                 0.377604 
                 −0.119639 
                 0.008463 
                 −0.005589 
               
               
                 18 
                 0.102127 
                 −0.093666 
                 −0.061325 
                 0.052082 
               
               
                 19 
                 0.154134 
                 −0.105724 
                 0.099317 
                 0.187972 
               
               
                 20 
                 −0.139232 
                 −0.091146 
                 −0.275479 
                 −0.038435 
               
               
                 21 
                 −0.144169 
                 0.034314 
                 −0.030840 
                 0.022207 
               
               
                 22 
                 −0.143985 
                 0.079414 
                 −0.194701 
                 0.175312 
               
               
                 23 
                 −0.195329 
                 0.087467 
                 0.067711 
                 0.186783 
               
               
                 24 
                 −0.123515 
                 −0.377873 
                 −0.209929 
                 −0.212677 
               
               
                 25 
                 0.068698 
                 −0.255933 
                 0.120463 
                 −0.095629 
               
               
                 26 
                 −0.106810 
                 −0.319964 
                 −0.089322 
                 0.106947 
               
               
                 27 
                 −0.158605 
                 −0.309606 
                 0.190900 
                 0.089340 
               
               
                 28 
                 −0.489162 
                 −0.432784 
                 −0.151215 
                 −0.005786 
               
               
                 29 
                 −0.370883 
                 −0.154342 
                 −0.022545 
                 0.114054 
               
               
                 30 
                 −0.742866 
                 −0.204364 
                 −0.123865 
                 −0.038888 
               
               
                 31 
                 −0.573077 
                 −0.115287 
                 0.208879 
                 −0.027698 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE B.2 
               
             
             
               
                   
               
               
                 HOC1 Codebook 
               
             
          
           
               
                 Codebook 
                   
                   
                   
                   
               
               
                 Index 
                 HOC1(0) 
                 HOC1(1) 
                 HOC1(2) 
                 HOC1(3) 
               
               
                   
               
             
          
           
               
                 0 
                 −0.143886 
                 0.235528 
                 −0.116707 
                 0.025541 
               
               
                 1 
                 −0.170182 
                 −0.063822 
                 −0.096934 
                 0.109704 
               
               
                 2 
                 0.232915 
                 0.269793 
                 0.047064 
                 −0.032761 
               
               
                 3 
                 0.153458 
                 0.068130 
                 −0.033513 
                 0.126553 
               
               
                 4 
                 −0.440712 
                 0.132952 
                 0.081378 
                 −0.013210 
               
               
                 5 
                 −0.480433 
                 −0.249687 
                 −0.012280 
                 0.007112 
               
               
                 6 
                 −0.088001 
                 0.167609 
                 0.148323 
                 −0.119892 
               
               
                 7 
                 −0.104628 
                 0.102639 
                 0.183560 
                 0.121674 
               
               
                 8 
                 0.047408 
                 −0.000908 
                 −0.214196 
                 −0.109372 
               
               
                 9 
                 0.113418 
                 −0.240340 
                 −0.121420 
                 0.041117 
               
               
                 10 
                 0.385609 
                 0.042913 
                 −0.184584 
                 −0.017851 
               
               
                 11 
                 0.453830 
                 −0.180745 
                 0.050455 
                 0.030984 
               
               
                 12 
                 −0.155984 
                 −0.144212 
                 0.018226 
                 −0.146356 
               
               
                 13 
                 −0.104028 
                 −0.260377 
                 0.146472 
                 0.101389 
               
               
                 14 
                 0.012376 
                 −0.000267 
                 0.006657 
                 −0.013941 
               
               
                 15 
                 0.165852 
                 −0.103467 
                 0.119713 
                 −0.075455 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE B.3 
               
             
             
               
                   
               
               
                 HOC2 Codebook 
               
             
          
           
               
                 Codebook 
                   
                   
                   
                   
               
               
                 Index 
                 HOC2(0) 
                 HOC2(1) 
                 HOC2(2) 
                 HOC2(3) 
               
               
                   
               
             
          
           
               
                 0 
                 0.182478 
                 0.271794 
                 −0.057639 
                 0.026115 
               
               
                 1 
                 0.110795 
                 0.092854 
                 0.078125 
                 −0.082726 
               
               
                 2 
                 0.057964 
                 0.000833 
                 0.176048 
                 0.135404 
               
               
                 3 
                 −0.027315 
                 0.098668 
                 −0.065801 
                 0.116421 
               
               
                 4 
                 −0.222796 
                 0.062967 
                 0.201740 
                 −0.089975 
               
               
                 5 
                 −0.193571 
                 0.309225 
                 −0.014101 
                 −0.034574 
               
               
                 6 
                 −0.389053 
                 −0.181476 
                 0.107682 
                 0.050169 
               
               
                 7 
                 −0.345604 
                 0.064900 
                 −0.065014 
                 0.065642 
               
               
                 8 
                 0.319393 
                 −0.055491 
                 −0.220727 
                 −0.067499 
               
               
                 9 
                 0.460572 
                 0.084686 
                 0.048453 
                 −0.011050 
               
               
                 10 
                 0.201623 
                 −0.068994 
                 −0.067101 
                 0.108320 
               
               
                 11 
                 0.227528 
                 −0.173900 
                 0.092417 
                 −0.066515 
               
               
                 12 
                 −0.016927 
                 0.047757 
                 −0.177686 
                 −0.102163 
               
               
                 13 
                 −0.052553 
                 −0.065689 
                 0.019328 
                 −0.033060 
               
               
                 14 
                 −0.144910 
                 −0.238617 
                 −0.195206 
                 −0.063917 
               
               
                 15 
                 −0.024159 
                 −0.338822 
                 0.003581 
                 0.060995 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE B.4 
               
             
             
               
                   
               
               
                 HOC3 Codebook 
               
             
          
           
               
                 Codebook 
                   
                   
                   
                   
               
               
                 Index 
                 HOC3(0) 
                 HOC3(1) 
                 HOC3(2) 
                 HOC3(3) 
               
               
                   
               
             
          
           
               
                 0 
                 0.323968 
                 0.008964 
                 −0.063117 
                 0.027909 
               
               
                 1 
                 0.010900 
                 −0.004030 
                 −0.125016 
                 −0.080818 
               
               
                 2 
                 0.109969 
                 0.256272 
                 0.042470 
                 0.000749 
               
               
                 3 
                 −0.135446 
                 0.201769 
                 −0.083426 
                 0.093888 
               
               
                 4 
                 −0.441995 
                 0.038159 
                 0.022784 
                 0.003943 
               
               
                 5 
                 −0.155951 
                 0.032467 
                 0.145309 
                 −0.041725 
               
               
                 6 
                 −0.149182 
                 −0.223356 
                 −0.065793 
                 0.075016 
               
               
                 7 
                 0.096949 
                 −0.096400 
                 0.083194 
                 0.049306 
               
               
                   
               
             
          
         
       
     
     APPENDIX C 
     MBE Tone Parameters 
     
       
         
               
               
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                   
                   
               
               
                   
                 Frequency 
                 MBE Model Parameters 
               
             
          
           
               
                   
                 Components 
                 Tone 
                 Fundamental 
                 Non-zero 
               
               
                 Tone Type 
                 (Hz) 
                 Index 
                 (Hz) 
                 Harmonics 
               
               
                   
               
             
          
           
               
                 Single Tone 
                 156.25 
                 5 
                 156.25 
                 1 
               
               
                 Single Tone 
                 187.5 
                 6 
                 187.5 
                 1 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 Single Tone 
                 375.0 
                 12 
                 375.0 
                 1 
               
               
                 Single Tone 
                 406.3 
                 13 
                 203.13 
                 2 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 Single Tone 
                 781.25 
                 25 
                 390.63 
                 2 
               
               
                 Single Tone 
                 812.50 
                 26 
                 270.83 
                 3 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 Single Tone 
                 1187.5 
                 38 
                 395.83 
                 3 
               
               
                 Single Tone 
                 1218.75 
                 39 
                 304.69 
                 4 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 Single Tone 
                 1593.75 
                 51 
                 398.44 
                 4 
               
               
                 Single Tone 
                 1625.0 
                 52 
                 325.0 
                 5 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 Single Tone 
                 2000.0 
                 64 
                 400.0 
                 5 
               
               
                 Single Tone 
                 2031.25 
                 65 
                 338.54 
                 6 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 Single Tone 
                 2375.0 
                 76 
                 395.83 
                 6 
               
               
                 Single Tone 
                 2406.25 
                 77 
                 343.75 
                 7 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 Single Tone 
                 2781.25 
                 89 
                 397.32 
                 7 
               
               
                 Single Tone 
                 2812.5 
                 90 
                 351.56 
                 8 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 Single Tone 
                 3187.5 
                 102 
                 398.44 
                 8 
               
               
                 Single Tone 
                 3218.75 
                 103 
                 357.64 
                 9 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 Single Tone 
                 3593.75 
                 115 
                 399.31 
                 9 
               
               
                 Single Tone 
                 3625.0 
                 116 
                 362.5 
                 10 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 . 
                 . 
                 . 
                 . 
                 . 
               
               
                 Single Tone 
                 3812.5 
                 122 
                 381.25 
                 10 
               
               
                 DTMF Tone 
                 941, 1336 
                 128 
                 78.50 
                 12, 17 
               
               
                 DTMF Tone 
                 697, 1209 
                 129 
                 173.48 
                 4, 7 
               
               
                 DTMF Tone 
                 697, 1336 
                 130 
                 70.0 
                 10, 19 
               
               
                 DTMF Tone 
                 697, 1477 
                 131 
                 87.0 
                  8, 17 
               
               
                 DTMF Tone 
                 770, 1209 
                 132 
                 109.95 
                  7, 11 
               
               
                 DTMF Tone 
                 770, 1336 
                 133 
                 191.68 
                 4, 7 
               
               
                 DTMF Tone 
                 770, 1477 
                 134 
                 70.17 
                 11, 21 
               
               
                 DTMF Tone 
                 852, 1209 
                 135 
                 71.06 
                 12, 17 
               
               
                 DTMF Tone 
                 852, 1336 
                 136 
                 121.58 
                  7, 11 
               
               
                 DTMF Tone 
                 852, 1477 
                 137 
                 212.0 
                 4, 7 
               
               
                 DTMF Tone 
                 697, 1633 
                 138 
                 116.41 
                  6, 14 
               
               
                 DTMF Tone 
                 770, 1633 
                 139 
                 96.15 
                  8, 17 
               
               
                 DTMF Tone 
                 852, 1633 
                 140 
                 71.0 
                 12, 23 
               
               
                 DTMF Tone 
                 941, 1633 
                 141 
                 234.26 
                 4, 7 
               
               
                 DTMF Tone 
                 941, 1209 
                 142 
                 134.38 
                 7, 9 
               
               
                 DTMF Tone 
                 941, 1477 
                 143 
                 134.35 
                  7, 11 
               
               
                 Knox Tone 
                 820, 1162 
                 144 
                 68.33 
                 12, 17 
               
               
                 Knox Tone 
                 606, 1052 
                 145 
                 150.89 
                  4, 7 
               
               
                 Knox Tone 
                 606, 1162 
                 146 
                 67.82 
                  9, 17 
               
               
                 Knox Tone 
                 606, 1297 
                 147 
                 86.50 
                  7, 15 
               
               
                 Knox Tone 
                 672, 1052 
                 148 
                 95.79 
                  7, 11 
               
               
                 Knox Tone 
                 672, 1162 
                 149 
                 166.92 
                 4, 7 
               
               
                 Knox Tone 
                 672, 1297 
                 150 
                 67.70 
                 10, 19 
               
               
                 Knox Tone 
                 743, 1052 
                 151 
                 74.74 
                 10, 14 
               
               
                 Knox Tone 
                 743, 1162 
                 152 
                 105.90 
                  7, 11 
               
               
                 Knox Tone 
                 743, 1297 
                 153 
                 92.78 
                  8, 14 
               
               
                 Knox Tone 
                 606, 1430 
                 154 
                 101.55 
                  6, 14 
               
               
                 Knox Tone 
                 672, 1430 
                 155 
                 84.02 
                  8, 17 
               
               
                 Knox Tone 
                 743, 1430 
                 156 
                 67.83 
                 11, 21 
               
               
                 Knox Tone 
                 820, 1430 
                 157 
                 102.30 
                  8, 14 
               
               
                 Knox Tone 
                 820, 1052 
                 158 
                 117.0 
                 7, 9 
               
               
                 Knox Tone 
                 820, 1297 
                 159 
                 117.49 
                  7, 11 
               
               
                 Call Progress 
                 350, 440  
                 160 
                 87.78 
                 4, 5 
               
               
                 Call Progress 
                 440, 480  
                 161 
                 70.83 
                 6, 7 
               
               
                 Call Progress 
                 480, 630  
                 162 
                 122.0 
                 4, 5 
               
               
                 Call Progress 
                 350, 490  
                 163 
                 70.0 
                 5, 7