Frequency interpolating device for interpolating frequency component of signal and frequency interpolating method

A frequency interpolating device for restoring an audio signal compressed at high ratio while keeping the high sound quality. An input digital signal to be subjected to frequency interpolation is converted to a spectrum signal representing the spectrum of the time-series signal by an analyzer. A spectrum analyzing section specifies, as an interpolating band, a deletion band not containing any spectrum among the bands defined by dividing the spectrum of the signal. A frequency interpolating section deduces the envelope of a digital signal and scales the spectrum of the spectrum distribution in the interpolating band specified by the spectrum analyzing section so that the spectrum matches with the function of the envelope and performs addition. The past spectra used for the scaling and addition are read out of a spectrum storage section. A synthesizer converts back the signal having the spectrum after the addition to the time-series signal. Thus, an audio signal compressed at high ratio by thinning of frequency components can be restored while keeping the high quality.

RELATED APPLICATION

This application is a continuation application of PCT/JP01/05521, filed Jun. 27, 2001, the contents of which are incorporated by reference, in their entirety.

TECHNICAL FIELD

The present invention relates to a frequency interpolating device and method for improving the spectrum distribution of a signal compressed by removing (thinning) the frequency components in a specific frequency band from an original signal.

Distribution of music and the like by wired or wireless broadcasting or communications is prevailing recent years. In order to avoid an increase in data amount and a spread of occupied band width because of the use of an excessively broad band in distributing music or the like by broadcasting or communications, music data is generally distributed in an audio signal compression type such as MP3 (MPEG1 audio layer3) type and AAC (Advanced Audio Coding) type.

These audio signal compression types utilize the phenomenon that spectrum components at a low level of an audio signal having frequencies near those of spectrum components at a high level are difficult to be heard with human ears.

As the traffics of broadcasting or communications increase, it becomes necessary to narrow an occupied band width and reduce a line capacity used by broadcasting or communications, in this case, if the above-described audio signal compression type is simply used, the data distribution time is elongated or cannot be performed smoothly. To solve this problem, techniques of compressing data at a high ratio and techniques of restoring the data compressed at a high ratio while the data quality is maintained high.

The invention has been made under such circumstances. It is an object of the invention to provide a frequency interpolating device and method for restoring an audio signal or the like compressed at a high ratio by removing the frequency components in a specific frequency band, while the quality of the signal is maintained high.

DISCLOSURE OF THE INVENTION

In order to achieve the above object, the invention provides a frequency interpolating device for restoring an approximate original signal from a signal having information compressed by removing frequency components of an original signal in a particular frequency band and in a particular period, wherein a removal band in a certain signal period of the signal having the compressed information from which removal band the particular frequency components were removed is inserted with frequency components left in a frequency band same as the removal band and in a signal period different from the certain signal period of the signal having the compressed information to thereby interpolate the frequency components of the removal band. The different signal period is typically a signal period adjacent to the certain signal period, and is preferably a signal period immediately before the certain signal period. More specifically, a frequency interpolating device of the invention, comprises: means for generating spectrum signals representative of spectra in first and second periods of an input signal to be interpolated; means for generating envelope information representative of the spectrum during the first period in accordance with the spectrum signal; means for distinguishing a spectrum removal band in the first period in which a spectrum does not substantially exist, in accordance with the spectrum signal; means for identifying a spectrum pattern in a frequency band substantially the same as the spectrum removal band in the second period, in accordance with the spectrum signal; and means for adding to the input signal a signal having the spectrum pattern in the frequency band substantially the same as the spectrum removal band in the second period and having a spectrum intensity equal to an intensity estimated by an envelope represented by the envelope information in the removal band.

According to the frequency interpolating device constructed as above, the spectrum in the same band (as the removal band) in the second period is added to the removal period in the first period to interpolate the spectrum removed in the first period. Accordingly, the signal after interpolation is approximately the original signal. If an input signal is an audio signal, an audio signal having a high sound quality can be recovered even if the input signal is an audio signal highly compressed.

The input signal is a digital signal (such as a PCM signal) obtained by sampling and quantizing an analog signal.

EMBODIMENTS OF THE INVENTION

A frequency interpolating device according to an embodiment of the invention will be described with reference to the accompanying drawings, by taking an audio signal processing apparatus as an example.

FIG. 1is a diagram showing the structure of an audio signal processing apparatus according to an embodiment of the invention.

As shown, the audio signal processing apparatus is constituted of a frequency thinning unit1, an audio signal compressing unit2, an audio signal expanding unit3and a frequency interpolating unit4.

As shown inFIG. 2, the frequency thinning unit1is constituted of an analyzer11, a frequency band masking unit12and a synthesizer13.

As shown inFIG. 3, the analyzer11is constituted of n delay units111-0to111-(n−1), (n+1) samplers112-0to112-n and a filter bank113(where n is an optional integer of 1 or larger).

Each of the delay units111-0to111-(n−1) delays an input signal by one period of the signal and outputs it.

A signal output from the delay unit111-k (k is an optional integer not smaller than 0 and not larger than (n−1)) is supplied to the sampler112-k. The delay unit111-j (j is an optional integer not smaller than 0 and not larger than (n−2)) is supplied with an output of the delay unit111-(j+1). The delay unit111-(n−1) is supplied with a PCM (Pulse Code Modulation) signal to be frequency-thinned by the frequency thinning unit1.

The delay unit111-k delays the PCM signal supplied to the delay unit111-(n−1) by (n−k) periods of the signal and outputs it. The PCM signal is obtained by sampling and quantizing an analog audio signal or the like expressed as a change in voltage or current.

Each of the samplers112-0to112-n samples an input signal at one (n+1)-th of the frequency of a PCM signal to be frequency-thinned, and supplies a sampled signal to the filter bank113.

The sampler112-k is supplied with an output of the delay unit111-k as described above. The sampler112-n is supplied with the PCM signal to be subjected frequency interpolation by the frequency thinning unit1substantially at the same time when the PCM signal is supplied to the delay unit111-(n−1).

The filter bank113is constituted of a DSP (Digital Signal Processor), a CPU (Central Processing Unit) and the like and receives output signals of the samplers112-0to112-n as described above.

The filter bank113generates first to (n+1)-th (n+1) signals representative of spectrum distributions of input signals by means of a poly-phase filter, DCT (Discrete Cosine Transform), LOT (Lapped Orthogonal Transform), MLT (Modulated Lapped Transform), ELT (Extended Lapped Transform) or the like. These generated (n+1) signals are supplied to the frequency band masking unit12.

It is assumed that the p-th signal (p is an integer of any one of 1 to (n+1)) generated by the filter bank113is a signal representative of a spectrum distribution of a band at the p-th lowest frequency among the bands having the same band width and obtained by equally dividing by (n+1) the spectrum distribution of the output signals of the samplers112-0to112-n.

The frequency band masking unit12is constituted of a DSP, a CPU and the like. When the (n+1) signals representative of the spectrum distributions of the (n+1) bands are supplied from the analyzer11(more specifically the filter bank113), for example, the frequency band masking unit12performs the following processes (1) to (6).

(1) In order to determine higher harmonic bands, first the frequency band masking unit12specifies two bands among the bands represented by the signals supplied from the filter bank113, and calculates a mean square value of the spectrum components of each band. (The higher harmonic band is a band which contains higher-harmonic components of a PCM signal to be subjected to frequency thinning. In the following, a band which contains fundamental frequency components of a PCM signal to be subjected to frequency thinning is called a “fundamental frequency band”).

(2) By using the mean square values of the spectrum components of the two bands (hereinafter called a “first band” and a “second band”) specified in the process (1), normalization is performed for the values of the spectrum components of one of the two bands. Specifically, for example, a ratio is calculated between the mean square value of the spectrum of the first band and the mean square value of the spectrum of the second band, and the product of this ratio and each spectrum component value of the second band is calculated. A set of calculated products represents the normalized spectrum distribution of the second band.

(3) A correlation coefficient between the normalized spectrum distributions of the first and second bands is calculated by means of least square or the like.

In this case, the frequency band masking unit12calculates the correlation coefficient on the assumption that each frequency of the spectrum in the lower frequency band among the first and second bands is an original frequency added to an absolute value of a difference between the lowest frequencies of the two bands.

(4) The frequency band masking unit12calculates correlation coefficients by performing the processes (1) to (3) for all combinations of first and second bands. In accordance with the calculated correlation coefficients, the fundamental frequency band and higher harmonic hands are specified.

Specifically, for example, the frequency band masking unit12specifies as the fundamental frequency band the band that has a correlation coefficient equal to or lower than a predetermined value in any combination of bands having the lowest frequency lower than that of the band, among all the bands represented by the signals supplied from the filter bank113. The bands other than the fundamental frequency band are specified as higher harmonic bands.

(5) After the higher harmonic bands (and fundamental frequency band) are specified, the frequency band masking unit12determines the bands whose spectra are to be removed among the higher harmonic bands, i.e., removal bands.

A criterion for determining the removal bands is arbitrary. Therefore, the frequency band masking unit12may determine as the removal band, for example, the band at the predetermined number as counted from the band having the lowest (or highest) frequency, among the specified higher harmonic bands. The removal bands may be the bands at the even numbers (or odd numbers) as counted from the band having the lowest (or highest) frequency, among the specified higher harmonic bands. Alternatively, the removal bands may be the consecutive β (β is a positive integer smaller than) bands at every -th (is an integer of 2 or larger) starting from a predetermined number as counted from the band having the lowest (or highest) frequency, among the specified higher harmonic bands.

(6) The frequency band masking unit12supplies the signals other than the signals representing the spectrum distributions of the removal bands, among the (n+1) signals supplied from the filter bank113, to the synthesizer13.

The frequency band masking unit12supplies therefore the synthesizer13with the signals representing the spectrum distributions (spectrum distributions after thinning) obtained by removing the spectrum components of the removal bands from the spectrum of the PCM signal to be subjected to frequency thinning.

FIG.4(a) is a diagram showing an example of a spectrum distribution (spectrum distribution before thinning) of the PCM signal supplied to the analyzer, and FIGS.4(b) and.4(c) are diagrams showing examples of a spectrum distribution after thinning obtained through frequency thinning of the PCM signal having the spectrum distribution shown in FIG.4(a).

FIG.4(b) shows the spectrum distribution after thinning wherein of eleven bands (bands B1to B11) of the PCM signal supplied to the analyzer11, the bands B3to B11are specified as the higher harmonic bands, and of the bands specified as the higher harmonic bands, the bands at even numbers as counted from the band having the lowest frequency are determined as the removal bands.

FIG.4(c) shows the spectrum distribution after thinning wherein of eleven bands (bands B1to B11) of the PCM signal supplied to the analyzer11, the bands B3to B11are specified as the higher harmonic bands, and of the bands specified as the higher harmonic bands, the two consecutive bands at every fourth starting from a third band as counted from the band having the lowest frequency are determined as the removal bands.

In the spectrum distributions after thinning shown in FIGS.4(b) and4(c), the removal bands belong to the higher harmonic hands, Therefore, a spectrum approximate to that of an audio signal before thinning can be obtained through interpolation of the spectrum corresponding to the spectrum distribution of a band other than the removal band (e.g., the band adjacent to the removal band on the low frequency side, occupying the substantially the same band width as that of the removal band).

As shown inFIG. 5, the synthesizer13is constituted of a filter band131, (n+1) samplers132-0to132-n, n delay units133-0to133-(n−1) and n adders134-0to134-(n−1).

The filter bank131is constituted of a DSP, a CPU and the like, and receives the signals representative of spectrum distributions after thinning from the frequency band masking unit12as described above. The filter bank131generates (n+1) signals representative of values obtained by sampling at (n+1) points at an equal pitch the signals representative of spectrum distributions of input signals, by means of a poly-phase filter, DCT, LOT, MLT, ELT or the like. The filter bank131supplies a p-th signal (p is an integer of any one of 1 to (n+1)) among the generated (n+1) signals, to a sampler132-(p−1).

The sampling period used by the filter bank131to generate the (n+1) signals is assumed to be substantially equal to the sampling period used by the samplers112-0to112-n of the analyzer11.

The p-th signal generated by the filter bank131is assumed to be representative of the signal at the p-th earliest sampling time among the signals sampled at the (n+1) points at an equal pitch and representative of the spectrum distributions of the signals supplied to the filter bank131.

Each of the samplers132-0to132-n converts an input signal into a signal having a frequency of the signal multiplied by (n+1) to output the conversion result as a PCM signal.

The sampler132-(p−1) is supplied with the p-th signal output from the filter band131as described earlier. A sampler132-(s−1) supplies its output signal to an adder134-(p−1) (s is an integer of any one of 1 to n). A sampler132-n supplies its output signal to the delay unit133-(n−1).

Each of the delay units133-0to133-(n−1) delays its input signal by one period of the signal and outputs it.

An output of a delay unit133-k (k is an optional integer not smaller than 0 and not larger than (n−1)) is supplied to an adder134-k. A delay unit133-j (j is an optional integer not smaller than 0 and not larger than (n−2)) is supplied with an output of an adder134-(j+1). The delay unit133-(i n−1) is supplied with an output of the sampler132-n as described earlier.

Each of the adders134-0to134-(n−1) outputs a signal which is a sum of two input signals.

The adder134-k is supplied with two signals from the sampler132-k and delay unit133-k. An output signal of an adder134-m (m is an integer not smaller than 1 and not larger than (n−1)) is supplied to a delay unit133-(m−1). An output signal of the adder134-0is supplied to the audio signal compressing unit2as an output of the frequency thinning unit1.

The output signal of the adder134-0corresponds to the signals output from the samplers132-0,132-1, . . . ,132-(n−1) sequentially output at the period substantially equal to that of the PCM signal supplied to the analyzer11, and is the PCM signal having the spectrum distribution corresponding to that after thinning.

The audio signal compressing unit2is constituted of a DSP, a CPU and the like as well as a storage medium drive for writing data in and reading data from a recording medium (e.g., CD-R). When an output signal of the frequency thinning unit1is supplied, the audio signal compressing unit2compresses the supplied signal by MP3, AAC (Advanced Audio Coding) or the like. The compressed signal data is written in an external storage medium set in the recording medium drive.

The audio signal compressing unit2may have a communication control unit constituted of a modem, terminal adapter and the like connected to an external communication line, instead of the storage medium or together with the storage medium. In this case, the audio signal compressing unit2may transmit the compressed data of the output signal of the frequency thinning unit1to an external via a communication line.

The audio signal expanding unit3is constituted of a DSP, a CPU and the like as well as a storage medium drive. The audio signal expanding unit3reads the PCM signal compressed by MP3, MC or the like from an external storage medium set in the storage medium drive. The audio signal expanding unit3expands the read data by MP3, MC or the like to generate the PCM signal representative of the expanded data and supply it to the frequency interpolating unit4.

The audio signal expanding unit3may have a communication control unit instead of the storage medium drive or together with the storage medium. In this case, the audio signal expanding unit3may receive the PCM signal compressed by MP3, MC or the like from an external via a communication line, and expands the compressed PCM signal to supply the PCM signal obtained through expansion to the frequency interpolating unit4.

As shown inFIG. 6, the frequency interpolating unit4is constituted of an analyzer41, a spectrum storage unit42, a spectrum analyzer43, a frequency interpolation processing unit44and a synthesizer45.

Of these components, the analyzer41has substantially the same structure as that of the analyzer11of the frequency thinning unit1, and the synthesizer45has substantially the same structure as that of the synthesizer13of the frequency thinning unit1.

The analyzer41generates first to (n+1)-th (n+1) signals representative of the spectrum distribution of the PCM signal supplied from the audio signal expanding unit3to be subjected to frequency interpolation. The analyzer41supplies the generated (n+1) signals to the spectrum storage unit42, spectrum analyzer43and frequency interpolation processing unit44.

A p-th signal (p is an integer of any one of 1 to (n+1)) generated by the analyzer41is assumed to be a signal representative of the spectrum distribution of the band at the p-th lowest frequency among the bands having the same band width and obtained by equally dividing by (n+1) the spectrum distribution of the PCM signal supplied from the audio signal expanding unit3(i.e., PCM signal to be subjected to frequency interpolation).

The spectrum storage unit42may be a RAM (Random Access Memory) or the like and stores the (n+1) signals supplied from the analyzer41. In response to an instruction from the frequency interpolation processing unit44, the spectrum storage unit42supplies stored signals to the frequency interpolation processing unit44.

The spectrum analyzer43is constituted of a DSP, a CPU and the like. Upon reception of the (n+1) signals representative of the spectrum distributions of the (n+1) bands supplied from the analyzer41, the spectrum analyzer43specifies the bands (i.e., removal bands) not substantially containing spectra among the bands represented by the signals supplied from the analyzer41. The spectrum analyzer43selects the bands (interpolation bands) for interpolation of the specified removal bands from the bands other than the removal bands among the bands represented by the signals supplied from the analyzer41, and notifies the selection result to the frequency interpolation processing unit44.

A criterion for determining an interpolation band is arbitrary. For example, if there is a band other than the removal band near the specified removal band on the low frequency side, then as shown inFIG. 7the spectrum analyzer43may determine this band near the specified removal band on the low frequency side as the interpolation band.

The frequency interpolation processing unit44is constituted of a DSP, a CPU and the like. When the frequency interpolation processing unit44receives the (n+1) signals representative of the spectrum distributions of the (n+1) bands from the analyzer41, it specifies an envelope function of the spectrum distribution of each band. When the selection result of the interpolation band is notified from the spectrum analyzer43, the frequency interpolation processing unit44obtains the spectrum distribution of signal components to be interpolated for the removal band by scaling the interpolation band indicated by the selection result in accordance with the envelope function.

Specifically, for example, the frequency interpolation processing unit44calculates a mean square value of the spectrum components of the interpolation band indicated by the selection result notified by the spectrum analyzer43, and also estimates the mean squared value of the spectrum components of the removal band in accordance with the envelope function which was specified by the frequency interpolation processing unit44itself. A ratio is then calculated between the mean square value of the spectrum components of the removal band and the estimated mean square value of the spectrum components of the removal band. Each spectrum component value of the interpolation band is multiplied by this ratio to obtain its product. A set of these products represents the spectrum distribution of signal components to be interpolated for the removal band.

The frequency interpolation processing unit44regards the spectrum distribution of signal components to be interpolated for the removal band as the spectrum distribution of the removal band after interpolation to thereby generate a signal representative of the spectrum distribution of the removal band after interpolation. The generated signal is supplied to the synthesizer45.

This signal supplied from the frequency interpolation processing unit44to the synthesizer45represents the spectrum distribution (spectrum distribution after interpolation) obtained by adding the spectrum of the PCM signal supplied from the audio signal expanding unit3to the frequency interpolation unit4to the spectrum components of the removal band after interpolation.

If the frequency interpolation processing unit44regards the spectrum distribution of signal components to be interpolated for the removal band as the spectrum distribution of the removal band after interpolation, it is assumed that the frequency of the spectrum of the interpolation band after scaling is an original frequency added to an absolute value of a difference between the lowest frequencies of the removal and interpolation bands.

Upon reception of the signal representative of the spectrum distribution after interpolation and output from the frequency interpolation processing unit44, the synthesizer45outputs a PCM signal having the spectrum distribution corresponding to the spectrum distribution after interpolation. In other words, the PCM signal output from the synthesizer45corresponds to the PCM signal obtained by sampling at (n+1) points at an equal pitch the signal having the spectrum distribution after interpolation and sequentially outputting them at the period substantially equal to the period of the PCM signal supplied to the analyzer41.

FIG.7(a) is a diagram showing an example of a spectrum distribution (spectrum distribution before interpolation) of the PCM signal supplied to the analyzer41from the audio signal expanding unit3, and FIG.7(b) is a diagram showing an example of a spectrum distribution after interpolation obtained through frequency interpolation of the PCM signal having the spectrum distribution shown in FIG.7(a).

As shown in FIG.7(a), of the eleven bands (bands B1to B11) of the PCM signal supplied to the analyzer41from the audio signal expanding unit3, the bands B4, B6, B8and B10are the removal bands. In this case, if the bands near the removal bands on the low frequency side are used as the interpolation bands, the spectrum distribution after interpolation is, as shown in FIG.7(b), the spectrum distribution obtained by adding the spectra having the distributions substantially the same as those of the bands B3, B5, B7and B9to the removal bands B4, B6, B8and B10.

By performing the interpolation shown in FIG.7(b), the spectrum approximate to that of the PCM signal before frequency interpolation can be obtained. When an audio signal is recovered by using the PCM signal output from the synthesizer45, the audio signal of high quality can therefore be recovered. In particular, if the bands B3to B11do not contain the fundamental frequency components of the PCM signal before frequency thinning, the spectrum distribution after interpolation becomes approximate to the spectrum distribution of the PCM signal before frequency thinning.

The structure of the audio signal processing apparatus is not limited only to that described above.

For example, the audio signal processing apparatus is not necessarily required to have the audio signal compressing unit2and audio signal expanding unit3. The signal to be subjected to frequency thinning by the frequency thinning unit1and the signal to be subjected to frequency interpolation by the frequency interpolating unit4are neither necessary to be a PCM signal nor necessary to be a signal obtained through modulation of an audio signal.

DSP and CPU may realize the functions of the delay units111-0to111-(n−1) and133-0to133-(n−1), samplers112-0to112-n and132-0to132-n and adders134-0to134-(n−1).

In determining the higher harmonic bands (and fundamental frequency bands), instead of the correlation coefficient the frequency band masking unit12may obtain an arbitrary numeric value representative of correlation between spectra of two bands in accordance with the spectrum distributions of the two bands.

The range of removal bands contained in an output signal (PCM signal) of the frequency thinning unit1may change with time. Therefore, for example, as shown in FIGS.8(a) to8(c) and FIG.9(a), a signal output from the frequency thinning unit1may be a signal alternately repeating the state that the removal bands are the bands B4, B6, B8and B10and the state that the removal bands are the bands B5, B7, B9and B11, at a constant time interval in the order of periods #1, #2, #3, . . . .

The range of removal bands may change at random. Therefore, for example, as shown in FIG.9(b), the range of removal bands may change in the specific periods #1 to #8.

Similarly, the range of removal bands contained in a PCM signal supplied from the frequency interpolating unit4may change with time. Therefore, for example, as shown in FIGS.8(a) to8(c) and FIG.9(a), a signal supplied to the frequency interpolation unit4may be a signal alternately repeating the state that the removal bands are the bands B4, B6, B8and B10and the state that the removal bands are the bands B5, B7, B9and B11, at a constant time interval in the order of periods #1, #2, #3, . . . .

The range of removal bands contained in a PCM signal and supplied to the frequency interpolating unit4may change at random. Therefore, for example, as shown in FIG.9(b), the range of removal bands contained in the PCM signal and supplied to the frequency interpolation unit4may change in the specific periods #1 to #8.

The spectrum analyzer43may select an interpolation band from the past spectra of PCM signals supplied to the frequency interpolating unit4. Specifically, for example, if the range of removal bands changes as shown in FIGS.8(a) to8(c) and FIG.9(a), the bands B5, B7, B9and B11in the period #1 may be selected as the interpolation bands for the removal bands B5, B7, B9and B11in the period #2, and the bands B4, B6, B8and B10in the period #2 may be selected as the interpolation bands for the removal bands B4, B6, B8and B10in the period #3.

As the result of the selection of interpolation bands in the above manner, as shown in FIGS.10(a) to10(c), the removal bands B5, B7, B9and B11in the period #2 are interpolated by using the spectra of the bands B5, B7, B9and B11in the period #1, and the removal bands B4, B6, B8and B10in the period #3 are interpolated by using the spectra of the bands B4, B6, B8and B10in the period #2.

If the range of removal bands changes at random, as the interpolation band for interpolating the removal band in each period, the band in the same removal band section in any past period may be selected which is not the removal band.

If the spectrum analyzer43selects the interpolation band from past spectra of PCM signals supplied to the frequency interpolating unit4, the frequency interpolation processing unit44reads information representative of the spectrum distribution of the interpolation band from the spectrum storage unit42to use it for the interpolation of the removal band.

In this case, it is desired that the spectrum storage unit42has a large storage capacity sufficient for reliably storing the spectrum of the interpolation band selected by the spectrum analyzer43.

The spectrum analyzer43may select the interpolation band from future spectra of PCM signals to be supplied to the frequency interpolating unit4. Specifically, for example, if the range of removal bands changes as shown in FIGS.8(a) to8(c) and FIG.9(a), as the interpolation bands for the interpolation of the removal bands B4, B6, B8and B10in the period #1, the bands B4, B6, B8and B10in the period #2 may be selected.

If the interpolation bands are selected in such a manner, for example, the frequency interpolation processing unit44reads the signal representative of a spectrum in the period #1 from the spectrum storage unit42when the spectrum representative of a spectrum in the period #2 is supplied from the analyzer41.

The read signal is interpolated by using the signal representative of the spectrum in the period #2 supplied from the analyzer41. As a result, as shown in FIGS.10(a) and10(b), the removal bands B4, B6, B8and B10in the period #1 are interpolated by using the spectra of the bands B4, B6, B8and B10in the period #2.

For example, if the range of removal bands changes at random, as the interpolation band for the interpolation of the removal band in each period, the spectrum analyzer43may select the band in the same removal band section in any future period may be selected which is not the removal band.

The embodiments of the invention have been described above. The frequency interpolating device of the invention may be realized not only by a dedicated system but also by a general computer system.

For example, the frequency interpolating unit4for realizing the operations of the analyzer41, spectrum storage unit42, spectrum analyzer43, frequency interpolating unit44and synthesizer45can be realized by installing a program realizing the functions of the frequency interpolating unit4and stored in a medium (CD-ROM, MO, floppy disk or the like) in a personal computer or a microcomputer.

For example, the program may be written in a bulletin board system on a communication line to distribute the program. A carrier may be modulated by a signal representative of the program and an obtained modulated signal is transmitted. An apparatus received this modulated signal demodulates it to recover the program.

This program is run under the control of OS in a manner similar to other application programs to thereby execute the above-described processes.

If OS shares part of the processes or constitutes part of one constituent element of the invention, the program excluding such part may be stored in a storage medium. Also in this case, in the present invention, the program for realizing various functions or steps to be executed by a computer is stored in the storage medium.

Industrial Applicability

As described so far, according to the present invention, a frequency interpolating device and method is realized which can restore an audio signal or the like compressed at a high ratio by removing the frequency components in a specific frequency band, while the quality of the signal is maintained high.