Reference subcarrier setting for multicarrier transmission

Abstract: A signal transmitting apparatus using orthogonal frequency division multiplexing includes an inverse fast Fourier transform circuit for converting a digital information signal into a first multi-value QAM modulation signal. A guard interval setting circuit is operative for periodically generating a guard interval signal equal to a time segment of the first multi-value QAM modulation signal, and inserting the guard interval signal into the first multi-value QAM modulation signal to convert the first multi-value QAM modulation signal into a second multi-value QAM modulation signal. A clock signal generating circuit is operative for generating a first clock signal which drives the inverse fast Fourier transform circuit, and generating a second clock signal which drive the guard interval setting circuit. The inverse fast Fourier transform circuit is operative for generating a pilot signal which corresponds to a given-order carrier, and adding the pilot signal to the first multi-value QAM modulation signal. The pilot signal has a predetermined frequency and an angle modulation component which remains constant over a plurality of symbol periods. The pilot signal corresponding to a given integer times its wavelength is present in a guard interval occupied by the guard interval signal in the second multi-value QAM modulation signal. The pilot signal is continuously present over the guard interval and another interval.

Description: BACKGROUND OF THE INVENTION This invention relates to a signal transmitting apparatus using orthogonal frequency division multiplexing. This invention also relates to a signal receiving apparatus using orthogonal frequency division multiplexing. Orthogonal frequency division multiplexing (OFDM) uses multiple carriers which are modulated in accordance with information to be transmitted. The carriers have an orthogonal relationship with each other. Data transmission based on OFDM is executed symbol by symbol. Each OFDM transmission symbol interval is composed of a guard interval and an effective symbol interval. The guard interval is used for reducing multipath effects. The effective symbol interval is used for transmitting data. In an OFDM receiver side, the reproduction of carriers without time-base variations in phases is generally required to accurately recover transmitted data. Various factors hinder such good reproduction. SUMMARY OF THE INVENTION It is a first object of this invention to provide an improved signal transmitting apparatus using orthogonal frequency division multiplexing. It is a second object of this invention to provide an improved signal receiving apparatus using orthogonal frequency division multiplexing. According to the present invention, these objects are achieved by a signal transmitting apparatus according to claim 1 and a signal receiving apparatus according to claim 2. BRIEF DESCRIPTION OF THE DRAWINGS Fig. 1 is a block diagram of a prior-art OFDM signal transmitter. Fig. 2 is a block diagram of a prior-art OFDM signal receiver. Fig. 3 is a block diagram of a signal transmitting apparatus using orthogonal frequency division multiplexing (OFDM) according to a first embodiment of this invention. Fig. 4 is a diagram of a symbol interval, a guard interval, and an effective symbol interval. Fig. 5 is a block diagram of a signal receiving apparatus using orthogonal frequency division multiplexing (OFDM) according to a second embodiment of this invention. Fig. 6 is a block diagram of a portion of a signal receiving apparatus using orthogonal frequency division multiplexing (OFDM) according to a third embodiment of this invention. Fig. 7 is a block diagram of a signal transmitting apparatus using orthogonal frequency division multiplexing (OFDM) according to a fifth embodiment of this invention. Fig. 8 is a block diagram of a signal receiving apparatus using orthogonal frequency division multiplexing (OFDM) according to a sixth embodiment of this invention. Fig. 9 is a block diagram of a symbol sync signal generating circuit in the apparatus of Fig. 8. DESCRIPTION OF THE PREFERRED EMBODIMENTS Before a detailed description of this invention, prior-art apparatuses will be described for a better understanding of this invention. Fig. 1 shows a prior-art OFDM signal transmitter. With reference to Fig. 1, a digital information signal is fed via an input terminal to a serial-to-parallel (S/P) conversion circuit 70. An error correction code may be added to the digital information signal. Output signals from the S/P conversion circuit 70 are fed to an IFFT (inverse fast Fourier transform) circuit 71. Output signals from the IFFT circuit 71 are fed via a guard interval circuit 72 to a D/A converter 73. The output signals of the IFFT circuit 71 are processed by the guard interval circuit 72 for reducing multipath effects. Output signals of the guard interval circuit 72 are changed by the D/A converter 73 into corresponding analog signals. Only components of the analog signals in a desired frequency band are passed through an LPF (low pass filter) 74. Output analog signals from the LPF 74 which correspond to a real part and an imaginary part (an I signal and a Q signal) are fed to a quadrature modulator 75 as baseband signals, being converted into an IF OFDM (intermediate frequency OFDM) signal. The IF OFDM signal has multiple IF orthogonal carriers which are modulated as indications of the output baseband signals of the LPF 74. The IF OFDM signal is changed by a frequency converter 76 into an RF OFDM (radio frequency OFDM) signal in a desired frequency band for transmission. The RF OFDM signal has multiple RF orthogonal carriers which are modulated as indications of the output baseband signals of the LPF 74. The RF OFDM signal is fed from the frequency converter 76 to a transmitting section 77. The RF OFDM signal is transmitted via a linear amplifier and a transmission antenna composing the transmitting section 77. An output signal of a local oscillator 78 which has a given frequency is fed to the quadrature modulator 75 and a 90° phase shifting circuit 78A. An output signal of the 90° phase shifting circuit 78A is fed to the quadrature modulator 75. In this way, a pair of local oscillator signals having a quadrature relation are fed to the quadrature modulator 75. The output signal of the local oscillator 78 is also fed to a clock signal generating circuit 79. The circuit 79 generates clock signals in response to the output signal of the local oscillator 78, and outputs the generated clock signals to the S/P conversion circuit 70, the IFFT circuit 71, the guard interval circuit 72, and the D/A converter 73 as operation timing control signals respectively. Fig. 2 shows a prior-art OFDM signal receiver. With reference to Fig. 2, a receiving section 80 includes a reception antenna which catches an RF OFDM signal transmitted from the OFDM signal transmitter of Fig. 1. The RF OFDM signal has multiple RF orthogonal carriers which are modulated in accordance with transmitted baseband signals respectively. The receiving section 80 includes an RF amplifier which enlarges the caught RF OFDM signal. An output RF OFDM signal from the RF amplifier in the receiving section 80 is fed to a frequency converter 81, being converted into a corresponding IF OFDM signal thereby. The IF OFDM signal has multiple IF orthogonal carriers which are modulated in accordance with transmitted baseband signals respectively. The IF OFDM signal is fed from the frequency converter 81 to a quadrature demodulator 83 and a carrier detecting circuit 90 via an IF amplifying circuit 82. A local oscillator 89 reproduces a local oscillator signal in response to an output signal of the carrier detecting circuit 90. The local oscillator signal is fed to the quadrature demodulator 83 and a 90° phase shifting circuit 89A. An output signal of the 90° phase shifting circuit 89A is fed to the quadrature demodulator 83. In this way, a pair of reproduced local oscillator signals having a quadrature relation are fed to the quadrature demodulator 83. The IF OFDM signal is demodulated by the quadrature demodulator 83 into baseband signals corresponding to a real part and an imaginary part (an I signal and a Q signal). Output signals from the quadrature demodulator 83 are fed via an LPF 84 to an A/D converter 85, being changed into corresponding digital signals thereby. One of the output signals from the quadrature demodulator 83 is fed to a sync signal generating circuit 91. The circuit 91 reproduces and generates sync signals or clock signals in response to the output signal of the quadrature demodulator 83. Output signals from the A/D converter 85 are fed via a guard interval circuit 86 to an FFT QAM (fast Fourier transform, quadrature amplitude modulation) decoding circuit 87. The circuit 87 subjects output signals of the guard interval circuit 86 to processing which corresponds to complex Fourier transform. According to the complex Fourier transform processing, the circuit 87 derives the levels of baseband carriers in the real-part signal and the imaginary-part signal outputted from the guard interval circuit 86. Thus, the transmitted digital information is recovered. Output signals of the FFT QAM decoding circuit 87 are fed to a parallel-to-serial (P/S) conversion circuit 88. An output signal of the P/S conversion circuit 88 is fed to an external device (not shown) as an output signal of the prior-art OFDM signal receiver. The sync signals and the clock signals are fed from the sync signal generating circuit 91 to the A/D converter 85, the guard interval circuit 86, the FFT QAM decoding circuit 87, and the P/S conversion circuit 88 as operation timing control signals respectively. In the prior-art OFDM signal transmitter of Fig. 1 and the prior-art OFDM signal receiver of Fig. 2, transmitted data can be accurately recovered by the receiver when the frequencies of the carriers in the receiver are exactly equal to the frequencies of the carriers in the transmitter. A difference in frequency between the output signal of a local oscillator in the frequency converter 76 in the transmitter and the output signal of a local oscillator in the frequency converter 81 in the receiver causes a disagreement between the carriers in the transmitter and the carriers in the receiver. In addition, a difference in frequency between the output signal of the local oscillator 78 in the transmitter and the output signal of the local oscillator 89 in the receiver causes a disagreement between the carriers in the transmitter and the carriers in the receiver. Such a disagreement results in an increased symbol error rate related to data recovered by the receiver. In the prior-art OFDM signal transmitter of Fig. 1 and the prior-art OFDM signal receiver of Fig. 2, transmitted data can be accurately recovered by the receiver when the clock signal fed to the IFFT circuit 71 in the transmitter accurately corresponds to the clock signal fed to the FFT QAM decoding circuit 87 in the receiver. A disagreement between the clock signal fed to the IFFT circuit 71 and the clock signal fed to the FFT QAM decoding circuit 87 results in an increased symbol error rate related to data recovered by the receiver. First Embodiment Fig. 3 shows a signal transmitting apparatus using orthogonal frequency division multiplexing (OFDM) according to a first embodiment of this invention. Digital data transmitted by the signal transmitting apparatus of Fig. 3 agrees with, for example, a compressed audio signal and a compressed video signal. OFDM uses multiple carriers having an orthogonal relationship with each other. In OFDM data transmission, independent digital information pieces are transmitted by using multiple carriers respectively. Since the carriers are orthogonal with each other, the levels of the spectrums of carriers neighboring a given carrier are nullified at a point corresponding to the frequency of the given carrier. An IFFT (inverse fast Fourier transform) circuit is used to enable the generation of a set of multiple orthogonal carriers. A baseband OFDM signal can be generated by executing inverse discrete Fourier transform (inverse DFT) using N complex numbers during a time interval T. Points of the inverse DFT correspond to modulation signal outputs respectively. Basic specifications of the signal transmitting apparatus of Fig. 3 are as follows. The central carrier frequency in an RF band is equal to 100 MHz. The number of carriers for data transmission is equal to 248. The modulation is of 256-QAM OFDM type. The number of used carriers is equal to 257. The transmission band width is equal to 100 kHz. The used band width is equal to 99 kHz. The transmission data rate is equal to 750 kbps. The guard interval is equal to 60.6 µsec. With reference to Fig. 3, a digital information signal in the form of a bit stream is fed via an input terminal 1 to a serial-to-parallel (S/P) conversion circuit 2. The digital information signal results from, for example, compressing an audio information signal or a video information signal according to an MPEG encoding process. An error correction code may be added to the digital information signal. The digital information signal, that is, the digital input signal, is divided by the S/P conversion circuit 2 into blocks corresponding to modulating signals for 256 QAM. The S/P conversion circuit 2 outputs the modulating signals. According to 256 QAM, 16 different levels are defined in an amplitude direction while 16 different levels are defined in an angle direction. In addition, 256 different digital states are assigned to the 256 levels (16 levels multiplied by 16 levels) respectively. As previously described, 248 carriers among 257 carriers are used for transmitting data information. The 9 remaining carriers are used for transmitting calibration signals and other helper signals (other auxiliary signals). The S/P conversion circuit 2 outputs 248-byte digital data for every 1-symbol interval. In more detail, the S/P conversion circuit 2 outputs a first set of 248 parallel digital signals each having 4 bits, and a second set of 248 parallel digital signals each having 4 bits for every 1-symbol interval. The first set and the second set correspond to a real part and an imaginary part (an I signal and a Q signal) respectively. The 248 output signals from the S/P conversion circuit 2 in each of the real part and the imaginary part are fed to a combination 3 of an IFFT (inverse fast Fourier transform) circuit and a pilot signal generating circuit. The IFFT and pilot signal generating circuit 3 operates in response to a clock signal fed from a clock signal generating circuit 10. Regarding each of the real part and the imaginary part, the operation of the IFFT and pilot signal generating circuit 3 corresponds to subjecting 248 carriers to 256 QAM responsive to the 248 output signals from the S/P conversion circuit 2 respectively. The IFFT and pilot signal generating circuit 3 generates the 248 modulation-resultant signals in each of the real part and the imaginary part. The IFFT and pilot signal generating circuit 3 combines the 248 modulation-resultant signals of the real part into a multiplexing-resultant signal corresponding to the real part. Also, the IFFT and pilot signal generating circuit 3 combines the 248 modulation-resultant signals of the imaginary part into a multiplexing-resultant signal corresponding to the imaginary part. In the IFFT and pilot signal generating circuit 3, discrete frequency points corresponding to the respective carriers are generated in response to the clock signal fed from the clock signal generating circuit 10. Discrete frequency point information is transmitted as Nyquist frequency information representing a value equal to a half of a period N. Since the Nyquist frequency information agrees with a half of the discrete frequency point information in period, a sample position signal for operating an FFT (fast Fourier transform) circuit can be generated in a receiver side by reproducing the Nyquist frequency information and executing a frequency multiplying process (a frequency doubling process). The Nyquist frequency information is generated or added by applying a given-level signal to an N/2 real-part input terminal R (and/or an N/2 imaginary-part input terminal I) of the IFFT and pilot signal generating circuit 3. For example, the given-level signal is produced by a suitable signal generator provided in the IFFT and pilot signal generating circuit 3. The output signals of the IFFT and pilot signal generating circuit 3 are fed to a guard interval setting circuit 4 including a RAM (random access memory) 4A. As shown in Fig. 4, the guard interval setting circuit 4 provides a guard interval "gi" of a given length for every symbol of the output signals of the IFFT and pilot signal generating circuit 3. Specifically, each guard interval "gi" has a temporal length of 60.6 µsec. In addition, each transmission symbol interval "ta" is composed of a guard interval "gi", and an effective symbol interval "ts" following the guard interval "gi". Each transmission symbol interval "ta" corresponds to 2646.6 psec while each effective symbol interval "ts" corresponds to 2586 µsec. The guard intervals are designed to reduce multipath distortions caused by a transmission line. The guard interval setting circuit 4 operates in response to a clock signal fed from the clock signal generating circuit 10. In the guard interval setting circuit 4, final portions of the output signals of the IFFT and pilot signal generating circuit 3 in every window interval (every symbol interval) are copied, and the copy-resultant signal portions are moved to temporal positions immediately preceding window interval signals (effective symbol interval signals). To implement the above-indicated process, the guard interval setting circuit 4 functions as follows. Specifically, the output signals of the IFFT and pilot signal generating circuit 3 are stored, sequentially sample by sample, into the RAM 4A for every window interval (every symbol interval). Then, finally-stored portions of the output signals of the IFFT and pilot signal generating circuit 3 are read out from the RAM 4A so that signals occupying a guard interval "gi" are generated. Subsequently, the output signals of the IFFT and pilot signal generating circuit 3 are read out from the RAM 4A in a sequence starting from the firstly-stored portions thereof so that signals occupying an effective symbol interval "ts" are generated. The previously-indicated Nyquist frequency information can be transmitted by using not only an effective symbol interval but also a guard interval. Regarding the Nyquist frequency information, to maintain the continuity with preceding and following IFFT window interval signals, it is preferable that the pilot signal corresponding to one wavelength multiplied by a given integer is present in a guard interval. In this case, the pilot signal in a symbol interval is continuously present over a guard interval and an effective symbol interval. Thus, an actually-transmitted pilot signal, that is, the pilot signal up-converted into a transmission RF range, has a monochromatic frequency spectrum (a single-line frequency spectrum). In this embodiment, the pilot signal has the Nyquist frequency. It should be noted that the frequency of the pilot signal may differ from the Nyquist frequency as long as there is a relation in frequency between the pilot signal and the sample position signal which is denoted by a simple ratio between integers. The pilot signal may use transmitted highest-frequency information. In the case of IFFT having a period M, a pilot signal is located at a frequency position equal to a half of a Nyquist frequency corresponding to each of a period M/4 and a period 3M/4. In addition, carriers transmitted by OFDM use those corresponding to first to M/4-th output signals from the IFFT, and those corresponding to 3M/4-th to M-th output signals from the IFFT. Thus, it is possible to generate signals equivalent to those generated in the case of M=2N. Accordingly, a continuous pilot signal can be transmitted by using an effective symbol interval as well as a guard interval. The sample position signal can be generated by recovering the pilot signal and multiplying the frequency of the recovered pilot signal by 4. In the case where window interval signal information of FFT can be recovered separately, FFT calculations for an OFDM signal can be implemented by combining the window interval signal information and the sample position signal. Thus, in this case, the OFDM signal can be decoded. A description will now be given of a symbol interval "ta" related to the guard interval setting circuit 4. In the case where the used frequency band is equal to 99 kHz and the period N is given as N=256, an effective symbol frequency "fs" and an effective symbol period "ts" are expressed as follows. fs = 99,000/256 = 387 Hz ts = 1/fs = 2,586 µsec When the guard interval "gi" for removing multipath effects is set to six times the sample period (six times the reciprocal of the used frequency band), the guard interval "gi" is given as follows. gi = (1/99,000) × 6 = 60.6 µsec In this case, the symbol interval "ta" and the symbol frequency "fa" are given as follows. ta = ts + gi = 2586 + 60.6 = 2646.6 µsec fa = 1/ta = 378 Hz Output signals of the guard interval setting circuit 4 are fed to a D/A converter 5, being converted into corresponding analog signals thereby. The D/A converter 5 outputs the resultant analog signals to a LPF (low pass filter) 6. Only components of the output signals of the D/A converter 5 in a desired frequency band are passed through the LPF 6. Output signals of the LPF 6 which correspond to the real part and the imaginary part are fed to a quadrature modulator 7 as baseband signals. A local oscillator 9 outputs a given-frequency signal, for example, a 10.7-MHz signal, to the quadrature modulator 7. The frequency of the output signal of the local oscillator 9 corresponds to a given intermediate frequency (IF). The local oscillator 9 also outputs the given-frequency signal to a 90° phase shifting circuit 8. The circuit 8 shifts the phase of the given-frequency signal by 90°, and outputs the phase-shift resultant signal to the quadrature modulator 7. In this way, a pair of given-frequency signals having a quadrature relation are fed to the quadrature modulator 7. In the quadrature modulator 7, the quadrature given-frequency signals are modulated in accordance with the baseband signals outputted from the LPF 6 so that the baseband signals are converted into an IF OFDM (intermediate frequency OFDM) signal. The IF OFDM signal has multiple IF orthogonal carriers which are modulated as indications of the output baseband signals of the LPF 6. The IF OFDM signal is changed by a frequency converter 11 into an RF OFDM (radio frequency OFDM) signal in a desired frequency band for transmission. The RF OFDM signal has multiple RF orthogonal carriers which are modulated as indications of the output baseband signals of the LPF 6 respectively. The frequency converter 11 includes a local oscillator and a mixer. In the frequency converter 11, the IF OFDM signal and the output signal of the local oscillator are mixed by the mixer so that the IF OFDM signal is converted into the RF OFDM signal. The RF OFDM signal is fed to a transmitting section 12 from the frequency converter 11. The transmitting section 12 includes a linear power amplifier and a transmission antenna. The RF OFDM signal is fed via the linear power amplifier to the transmission antenna, being radiated by the transmission antenna into a transmission line (the air). The output signal of the local oscillator 9 is also fed to the clock signal generating circuit 10. The circuit 10 generates clock signals in response to the output signal of the local oscillator 9 by frequency dividing processes, and outputs the generated clock signals to the S/P conversion circuit 2, the IFFT and pilot signal generating circuit 3, the guard interval setting circuit 4, and the D/A converter 5 as operation timing control signals respectively. In this embodiment, during every 1-symbol period, 248 parallel digital data pieces each having 8 bits (4 bits plus 4 bits) are transmitted together with 248 carriers. Accordingly, the transmission data rate corresponds to 248 bytes per symbol interval. Thus, the transmission data rate per second is approximately equal to 750 kilo-bits. Second Embodiment Fig. 5 shows a signal receiving apparatus using orthogonal frequency division multiplexing (OFDM) according to a second embodiment of this invention. The signal receiving apparatus of Fig. 5 is able to accept an RF OFDM signal transmitted by the signal transmitting apparatus of Fig. 3. With reference to Fig. 5, a receiving section 20 includes a reception antenna which catches an RF OFDM signal transmitted from, for example, the signal transmitting apparatus of Fig. 3. The RF OFDM signal has multiple RF orthogonal carriers which are modulated in accordance with transmitted baseband signals respectively. The receiving section 20 includes an RF amplifier which enlarges the caught RF OFDM signal. An output RF OFDM signal from the RF amplifier in the receiving section 20 is fed to a frequency converter 21, being converted into a corresponding IF OFDM signal thereby. The IF OFDM signal has multiple IF orthogonal carriers which are modulated in accordance with transmitted baseband signals respectively. The frequency converter 21 includes a local oscillator and a mixer. In the frequency converter 21, the RF OFDM signal and the output signal of the local oscillator are mixed by the mixer so that the RF OFDM signal is converted into the IF OFDM signal. The IF OFDM signal is fed from the frequency converter 21 to an IF amplifying circuit 22, being enlarged to a desired level thereby. The output IF OFDM signal from the IF amplifying circuit 22 is fed to a quadrature demodulator 23 and a carrier detecting circuit 29. The carrier detecting circuit 29 includes a PLL (phase locked loop) circuit having a combination of a phase comparator (a multiplier), an LPF, a VCO (voltage-controlled oscillator), and a 1/4 frequency divider. The PLL circuit recovers the carriers in the IF OFDM signal. An output signal of the carrier detecting circuit 29, which corresponds to the recovered carriers, is fed to a local oscillator 31. The local oscillator 31 is designed to extract the central carrier among the carriers in the IF OFDM signal with a negligible phase error. The local oscillator 31 outputs a signal corresponding to the extracted central carrier. Thus, the local oscillator 31 reproduces a local oscillator signal used in a transmitter side. In this embodiment, the IF OFDM signal (or the RF OFDM signal) is based on the information-transmitting carriers with frequencies which are spaced at intervals of 378 Hz equal to the symbol frequency. The frequencies of the information carriers neighboring the central carrier are spaced from the frequency of the central carrier by only 378 Hz. Accordingly, it is preferable that the extraction of the central carrier is executed by a high-selectivity circuit. The local oscillator 31 uses a high-selectivity circuit. Specifically, the local oscillator 31 includes a PLL circuit for extracting the central carrier from the carriers outputted by the carrier detecting circuit 29. A voltage-controlled oscillator (VCO) in the PLL circuit in the local oscillator 31 uses a voltage-controlled crystal oscillator (VCXO) which can oscillate at a frequency variable in a given small range (for example, ±200 Hz) around the frequency of the central carrier. In addition, an LPF in the PLL circuit has a cut-off frequency adequately low with respect to 378 Hz. The output signal of the local oscillator 31 is fed to the quadrature demodulator 23. The output signal of the local oscillator 31 is also fed to a 90° phase shifting circuit 30. The circuit 30 shifts the phase of the output signal of the local oscillator 31 by 90°. The phase-shift resultant signal is outputted from the circuit 30 to the quadrature demodulator 23. In this way, a pair of reproduced local oscillator signals having a quadrature relation are fed to the quadrature demodulator 23. In response to the quadrature signals, the IF OFDM signal is demodulated by the quadrature demodulator 23 into baseband signals corresponding to a real part and an imaginary part (an I signal and a Q signal) respectively. Output signals from the quadrature demodulator 23 are fed to an LPF 24. Only components of the output signals of the quadrature demodulator 23, which occupy a desired frequency band, are passed through the LPF 24. Output signals of the LPF 24 which have analog forms are fed to an A/D converter 25. The output signals of the LPF 24 are subjected to sampling processes and are converted by the A/D converter 25 into corresponding digital signals. One of the output signals of the quadrature demodulator 23 is fed to a sample sync signal generating circuit 32. The output signal of the local oscillator 31 is fed to the sample sync signal generating circuit 32. The sample sync signal generating circuit 32 includes a PLL circuit phase-locked with respect to a pilot signal in the output signal of the quadrature demodulator 23. It should be noted that the pilot signal is transmitted as a continuous signal during every symbol interval containing a guard interval. The sample sync signal generating circuit 32 derives pilot signal frequency information, and reproduces the pilot signal. In a transmitter side, the frequency of the pilot signal is set to correspond to a given ratio between integers with respect to the frequency of the sample clock signal. The sample sync signal generating circuit 32 includes a frequency multiplier operating on the reproduced pilot signal at a multiplying factor corresponding to the above-indicated frequency ratio. A sample clock signal (a clock sync signal) is recovered through the frequency multiplication. The output signals of the A/D converter 25 are fed to a guard interval processing circuit 26. The guard interval processing circuit 26 extracts time-portions of the output signals of the A/D converter 25 which occupy every effective symbol interval. Output signals of the guard interval processing circuit 26 are fed to an FFT QAM (fast Fourier transform, quadrature amplitude modulation) decoding circuit 27. A symbol sync signal generating circuit 33 connected to the sample sync signal generating circuit 32 detects a symbol interval in response to the sample clock signal, and generates a symbol sync signal related to the detected symbol interval. The FFT QAM decoding circuit 27 receives the clock sync signal and the symbol sync signal from the sample sync signal generating circuit 32 and the symbol sync signal generating circuit 33. In response to the clock sync signal and the sample sync signal, the circuit 27 subjects the output signals of the guard interval processing circuit 26 to processing which corresponds to complex Fourier transform. According to the complex Fourier transform processing, the circuit 27 derives the levels of baseband carriers in the real-part signal and the imaginary-part signal outputted from the guard interval processing circuit 26. In the FFT QAM decoding circuit 27, the derived real-part levels and the derived imaginary-part levels are compared with reference demodulation output levels so that the states of transmitted digital signals are determined. In this way, the transmitted digital information is recovered. Output signals of the FFT QAM decoding circuit 27 which correspond to the recovered digital signals are fed to a parallel-to-serial (P/S) conversion circuit 28. The output signals of the FFT QAM decoding circuit 27 are rearranged and combined by the P/S conversion circuit 28 into a serial-form digital signal. The serial-form digital signal is transmitted from the P/S conversion circuit 28 to an external device (not shown) via an output terminal 34. The sample sync signal generating circuit 32 and the symbol sync signal generating circuit 33 produce sync signals and clock signals in response to the output signal of the quadrature demodulator 23 and the output signal of the local oscillator 31, and feed the produced sync signals and the produced clock signals to the A/D converter 25, the guard interval processing circuit 26, the FFT QAM decoding circuit 27, and the P/S conversion circuit 28 as operation timing control signals. The pilot signal in the output signal of the quadrature demodulator 23 is continuous, and is free from jitter components. Therefore, the pilot signal is recovered without jitter, and the sample clock signal is accurately reproduced in response to the recovered pilot signal. The clock signal fed to the FFT QAM decoding circuit 27 in the receiver side accurately corresponds to the clock signal fed to the the IFFT and pilot signal generating circuit 3 in the transmitter side. Thus, the FFT process in the receiver side can be exactly inverse with the IFFT process in the transmitter side so that the transmitted data can be accurately recovered in the receiver side. Third Embodiment Fig. 6 shows a portion of a signal receiving apparatus using orthogonal frequency division multiplexing (OFDM) according to a third embodiment of this invention. The signal receiving apparatus of Fig. 6 is similar to the signal receiving apparatus of Fig. 5 except for design changes indicated later. The signal receiving apparatus of Fig. 6 includes the following circuits in place of the quadrature demodulator 23, the carrier detecting circuit 29, the 90° phase shifting circuit 30, the local oscillator 31, and the sample sync signal generating circuit 32 of Fig. 5. With reference to Fig. 6, a multiplier 41, an LPF 42, a VCO circuit 43, and a 1/4 frequency divider 45 compose a PLL circuit serving as a carrier extracting circuit. The VCO circuit 43 is designed to oscillate at and around a frequency (42.8 MHz) equal to four times the central intermediate-frequency (10.7 MHz). The VCO circuit 43 output quadrature oscillation signals to a 1/4 frequency divider 44 and the 1/4 frequency divider 45 respectively. The devices 44 and 45 divide the frequencies of the output signals of the VCO circuit 43 by four respectively. The output signal of the frequency divider 44 is fed to a multiplier 40. The output signal of the frequency divider 45 is fed to the multiplier 41. The IF OFDM signal outputted from the IF amplifying circuit 22 (see Fig. 5) is applied to the multipliers 40 and 41. The multipliers 40 and 41 compose a quadrature demodulator. The multipliers 40 and 41 mix the IF OFDM signal with the output signals of the 1/4 frequency dividers 44 and 45 so that the IF OFDM signal is demodulated into baseband signals corresponding to a real part and an imaginary part respectively. The output signal of the multiplier 41 which corresponds to the imaginary part is fed via the LPF 42 to the VCO circuit 43 as a control signal. As previously described, the multiplier 41, the LPF 42, the VCO circuit 43, and the 1/4 frequency divider 45 compose a PLL circuit which is locked with respect to the central carrier in the IF OFDM signal. The VCO circuit 43 outputs a signal with a fixed frequency (locked frequency) equal to four times the central intermediate-frequency (10.7 MHz). The locked-frequency signal is fed from the VCO circuit 43 to a variable frequency divider 50. A variable frequency divider 50 receives the locked-frequency signal from the VCO circuit 43. The device 50 divides the frequency of the output signal of the VCO circuit 43 by a value variable in the rage of 1/426 to 1/438. The output signal of the variable frequency divider 50 is fed to a 1/2 frequency divider 51. The 1/2 frequency divider 51 halves the frequency of the output signal of the variable frequency divider 50. The output signal of the 1/2 frequency divider 51 is applied to a multiplier 52. In addition, the output signal of the multiplier 40 which corresponds to the real part is applied to the multiplier 52. The multiplier 52 serves as a phase comparator operating on the output signals of the multiplier 40 and the 1/2 frequency divider 51. The output signal of the multiplier 52 is fed via an LPF 53 to a delay circuit 54 and an adding circuit 55. The LPF 53 serves to pass only components of the output signal of the multiplier 52 which correspond to a phase error signal effective in frequency control. The circuit 54 delays the output signal of the LPF 53 by a given time. The circuit 54 outputs the delay-resultant signal to the adding circuit 55. The circuit 55 adds the output signal of the LPF 53, that is, the non-delayed signal, and the delayed signal fed from the circuit 54. The delay circuit 54 and the adding circuit 55 compose a filter which is designed to attenuate neighboring carrier components. The frequency response characteristics of the filter have a dip point at 387 Hz corresponding to a symbol frequency. The output signal of the adding circuit 55 is fed to the variable frequency divider 50 as a control signal. The variable frequency divider 50 serves as a VCO circuit. The VCO circuit 50, the 1/2 frequency divider 51, the multiplier 52, the LPF 53, the delay circuit 54, and the adding circuit 55 compose a PLL circuit locked with respect to a continuous pilot signal in the output signal of the multiplier 40 in the quadrature demodulator. Thus, the VCO circuit 50 outputs a sample clock signal in response to the reproduced pilot signal (the recovered pilot signal). The sample clock signal has a frequency of 99 kHz. Fourth Embodiment A fourth embodiment of this invention relates to a modification of the signal transmitting apparatus of Fig. 3 and a modification of the signal receiving apparatus of Fig. 5 or Fig. 6. The fourth embodiment executes IFFT having a period N equal to 512. In the fourth embodiment, a pilot signal frequency is set to a given high-order frequency having a preset relation with a sample position signal which is denoted by a simple ratio between integers. In the case of IFFT having a period M, a pilot signal is located at a frequency position equal to a half of a Nyquist frequency corresponding to each of a period M/4 and a period 3M/4. In addition, carriers transmitted by OFDM use those correspond to first to M/4-th output signals from the IFFT, and those corresponding to 3M/4-th to M-th output signals from the IFFT. Thus, it is possible to generate signals equivalent to those generated in the case of M=2N. Accordingly, a continuous pilot signal can be transmitted by using an effective symbol interval as well as a guard interval. The sample position signal can be generated by recovering the pilot signal and multiplying the frequency of the recovered pilot signal by 4. In the fourth embodiment, the frequency of a sample clock signal for driving the FFT QAM decoding circuit 27 is equal to 198 kHz. Accordingly, in the fourth embodiment, the variable frequency divider 50 is designed to provide a frequency division factor variable in the range of 1/213 to 1/219, and the frequency divider 50 is designed to provide a frequency division factor of 1/4. Fifth Embodiment Fig. 7 shows a signal transmitting apparatus using orthogonal frequency division multiplexing (OFDM) according to a fifth embodiment of this invention. Digital data transmitted by the signal transmitting apparatus of Fig. 7 agrees with, for example, a compressed audio signal and a compressed video signal. OFDM uses multiple carriers having an orthogonal relationship with each other. In OFDM data transmission, independent digital information pieces are transmitted by using multiple carriers respectively. Since the carriers are orthogonal with each other, the levels of the spectrums of carriers neighboring a given carrier are nullified at a point corresponding to the frequency of the given carrier. An IFFT (inverse fast Fourier transform) circuit is used to enable the generation of a set of multiple orthogonal carriers. A baseband OFDM signal can be generated by executing inverse discrete Fourier transform (inverse DFT) using N complex numbers during a time interval T. Points of the inverse DFT correspond to modulation signal outputs respectively. Basic specifications of the signal transmitting apparatus of Fig. 7 are as follows. The central carrier frequency in an RF band is equal to 100 MHz. The number of carriers for data transmission is equal to 248. The modulation is of 256-QAM OFDM type. The number of used carriers is equal to 257. The transmission band width is equal to 100 kHz. The used band width is equal to 99 kHz. The transmission data rate is equal to 750 kbps. The guard interval is equal to 60.6 µsec. A description will now be given of arrangement of the carriers. In an IF band, a carrier having a frequency equal to a central IF frequency (that is, 10.7 MHz) is referred to as a 0-th carrier. Carriers extending in a frequency upper side (a right-hand side) of the 0-th carrier are sequentially referred to as a 1-st carrier, a 2-nd carrier, a 3-rd carrier, ···, and a 128-th carrier respectively. Carriers extending in a frequency lower side (a left-hand side) of the 0-th carrier are sequentially referred to as a -1-st carrier, a -2-nd carrier, a -3-rd carrier, ···, and a -128-th carrier respectively. In this way, the different order numbers are sequentially given to the carriers respectively. The carriers are assigned to functions (roles) as follows: The 0-th carrier is used as a non-modulated carrier providing a reference for amplitudes and phases of the other carriers; The 1-st carrier is used to transmit system mode information; The 2-nd carrier is used to transmit information to be transmitted with a positive calibration carrier; The 21-st carrier is used to periodically transmit a sequence of four symbols representing a reference angle level, a reference amplitude level, and a carrier absence; The 128-th carrier is used as a carrier having a positive maximum frequency; The -1-st carrier is used to transmit information of the order numbers of the carriers with which calibration information is transmitted; The -2-nd carrier is used to transmit information to be transmitted with a negative calibration carrier; The -21-st carrier is used to periodically transmit a sequence of four symbols representing a reference angle level, a reference amplitude level, and a carrier absence; The -128-th carrier is used as a carrier having a negative maximum frequency; and The other carriers except those designated as calibration information carriers are used to transmit data information signals. The carriers are defined as follows: The 0-th carrier agrees with a non-modulated carrier which does not have any angular modulation components; The 1-st carrier defines a transmission mode; and The -1-st carrier denotes the positive and negative order numbers of the carriers used as calibration carriers. Regarding the -1-st carrier, the symbol numbers "0" and "1" are assigned to the carrier order number "X" which indicates the absence of designation of calibration carriers. The symbol numbers "2" and "3" are assigned to the carrier order number "8". The symbol numbers "4" and "5" are assigned to the carrier order number "16". The symbol numbers "6" and "7" are assigned to the carrier order number "24". The symbol numbers "8" and "9" are assigned to the carrier order number "32". Similarly, higher symbol numbers are assigned to higher carrier order numbers. Symbols following an end signal and a given calibration frame transmitted as mode information bits are sequentially referred to as a 1-st symbol, a 2-nd symbol, a 3-rd symbol,···, and a 256-th symbol respectively. In this way, the successive numbers (the symbol numbers) are sequentially given to the symbols respectively. The symbol number is initialized or reset to 00 (X'00) at the point of the start of a calibration frame, and is then periodically incremented through a counting process before finally assuming 255 (X'FF). In the case of carrier order numbers "0" and "21", the replacement for carrier calibration is unexecuted. The symbol number and the calibration carrier has the following relation: The 8-th bit (MSB): a carrier address (0=0, 1=+1) in a place of "1"; The 7-th bit: a carrier address (0=0, 1=+2) in a place of "2"; The 6-th bit: a carrier address (0=0, 1=+4) in a place of "4"; The 5-th bit: a carrier address (0=0, 1=+64) in a place of "64"; The 4-th bit: a carrier address (0=0, 1=+32) in a place of "32"; The 3-rd bit: a carrier address (0=0, 1=+16) in a place of "16"; The 2-nd bit: a carrier address (0=0, 1=+8) in a place of "8"; and The 1-st bit (LSB): "0" denotes a former half and "1" denotes a latter half. The carriers are further defined as follows: The ±2-nd carriers transmit information which should be transmitted with information transmitting carriers set to calibration states; The ±21-st carriers transmit information for calibration; changing conditions of signals are detected, and a symbol sync signal is detected in response to the detection of the changing conditions in a receiver side; and The ±128-th carriers transmit information of a sample clock signal; angle information thereof is set to "0" during the encoding. Regarding the transmission of an information signal, 248-byte digital data is transmitted in a 1-symbol interval. The digital data is superimposed on the 3-rd carrier to the 20-th carriers, the 22-nd carrier to the 127-th carrier, the -3-rd carrier to the -20-th carriers, and the -22-nd carrier to the -127-th carrier by QAM modulation according to information bit assignment. A description will now be given of the calibration of each carrier. Positive and negative order-number carriers, which should be calibrated, are designated by the carrier order number represented by 8 bits related to the -1-st carrier. Data pieces to be transmitted with the positive and negative calibration carriers are transmitted with the ±2-nd carriers respectively. Thus, the positive and negative calibration carriers are replaced by the ±2-nd carriers respectively in data transmission. The calibration carriers transmit the following calibration signals. During every odd-numbered symbol, the positive calibration carrier transmits the 8-th amplitude level while the negative calibration carrier transmits the 8-th angle level. During every even-numbered symbol, the positive calibration carrier transmits the 8-th angle level while the negative calibration carrier transmits the 8-th amplitude level. It should be noted that the above-indicated carrier replacement regarding data transmission is not executed when the 0-th carrier (the central carrier) and the 21-st carrier are designed as calibration carriers. Calibration frame synchronization will now be described. A calibration frame is composed of 256 symbols. It is possible to know the interval of a calibration frame from the symbol number represented by the information related to the -1-st carrier. Regarding every calibration carrier, the calibration is designed to correct reference amplitude and angle levels and to correct crosstalk components of amplitude and angle signals caused by quadrature (orthogonal) angle errors. These characteristic correction levels with respect to the carrier order number are recognized as curves. Even during a period for which the calibration signals are not transmitted, correction amounts accorded with the characteristics are determined by calculation. Thereby, inverse quantization related to 256 QAM can be smoothly executed during a long period of a calibration frame. A 256-QAM decoding process is executed by using given correction curves. When a data error rate (a data error amount) is smaller than a given value, the correction curves are recognized as being proper and the correction amounts are fixed. With reference to Fig. 7, a digital information signal in the form of a bit stream is fed via an input terminal 1 to a serial-to-parallel (S/P) conversion circuit 2. The digital information signal results from, for example, compressing an audio information signal or a video information signal according to an MPEG encoding process. An error correction code may be added to the digital information signal. The digital information signal, that is, the digital input signal, is divided by the S/P conversion circuit 2 into blocks corresponding to modulating signals for 256 QAM. The S/P conversion circuit 2 outputs the modulating signals. According to 256 QAM, 16 different levels are defined in an amplitude direction while 16 different levels are defined in an angle direction. In addition, 256 different digital states are assigned to the 256 levels (16 levels multiplied by 16 levels) respectively. As previously described, 248 carriers among 257 carriers are used for transmitting data information. The 9 remaining carriers are used for transmitting calibration signals and other helper signals (other auxiliary signals). The S/P conversion circuit 2 outputs 248-byte digital data for every 1-symbol interval. In more detail, the S/P conversion circuit 2 outputs a first set of 248 parallel digital signals each having 4 bits, and a second set of 248 parallel digital signals each having 4 bits for every 1-symbol interval. The first set and the second set correspond to a real part and an imaginary part (an I signal and a Q signal) respectively. The 248 output signals from the S/P conversion circuit 2 in each of the real part and the imaginary part are fed to a combination 3 of an IFFT (inverse fast Fourier transform) circuit and a pilot signal generating circuit. Also, the 248 output signals from the S/P conversion circuit 2 in each of the real part and the imaginary part are fed to a symbol interval setting circuit 3S. The symbol interval setting circuit 3S feeds setting signals to the IFFT and pilot signal generating circuit 3 for generating symbol interval information, a QAM demodulating reference amplitude level, and a QAM demodulating reference angle level in response to a common reference carrier while changing the input signals to the IFFT and pilot signal generating circuit 3. The symbol interval setting circuit 3S operates in response to a clock signal fed from a clock signal generating circuit 10. Regarding the reference carrier, the reference amplitude level and the reference angle level are changed every symbol. For example, the reference carrier corresponding to a given integer times its half wavelength is present in a guard interval. For example, IFFT has a period N of 256, and the guard interval is set to a length corresponding to 6 clock periods. In addition, for example, the ±21-st carriers are used as reference carriers. The phase difference (variation) of a carrier which is caused by a guard interval depends on the number of clock sample periods composing the guard interval and the frequency order used by IFFT. In the case of IFFT having a period N, the duration of the carrier in the guard interval is given as "2π × p × q/N" where "p" denotes the number of clock periods composing the guard interval, and "q" denotes the frequency order of the carrier used as the reference wave. When N=256 and p=6, the signal with q=21 corresponds to a carrier whose half wavelength is present approximately in the guard interval. In the case where IFFT has a period N of 256 and the guard interval is set to a length as p=4 clock periods, the 32-nd carrier (q=32) is used to transmit reference signal information. A further description will now be given in the case where the ±21-st carriers are used as reference carriers. A symbol signal to be transmitted is provided with a number. The symbol signal is transmitted as modulating signals in side bands of the central carrier according to a sequence given by the 2 lower bits of the symbol signal number. Modulating signals related to the 21-st carrier and the -21-st carrier at opposite sides of the central carrier are expressed as follows. When the symbol sequence is "0", the 21-st carrier is set to an "8" amplitude level and a "0" angle level and the -21-st carrier is set to a "0" amplitude level and the "0" angle level. When the symbol sequence is "1", the 21-st carrier is set to the "0" amplitude level and a "-8" angle level and the -21-st carrier is set to the "0" amplitude level and the "0" angle level. When the symbol sequence is "2", the 21-st carder is set to the "0" amplitude level and the "0" angle level and the -21-st carrier is set to a "-8" amplitude level and the "0" angle level. When the symbol sequence is "3", the 21-st carrier is set to the "0" amplitude level and the "0" angle level and the -21-st carrier is set to the "0" amplitude level and an "8" angle level. Here, the "0" amplitude level means the absence of amplitude modulation. The "8" amplitude level means the state provided with a positive maximum amplitude modulation degree. The "-8" amplitude level means the state provided with a negative maximum amplitude modulation degree. The "0" angle level means the absence of angle modulation. The "8" angle level means the state provided with a positive maximum angle modulation degree. The "-8" angle level means the state provided with a negative maximum angle modulation degree. With regard to the setting of levels in the reference carrier for every symbol, one of the positive and negative carriers is subjected to modulation in an amplitude direction or an angle direction. Accordingly, in a receiver side, the levels of reference signals for the inverse quantization of a QAM signal can be known by sequentially recovering the components of the reference signals. In addition, it is possible to know the conditions of a crosstalk between the carriers related to quadrature-modulation signals and the conditions of crosstalks between the positive and negative symmetrical carriers. The ±21-st carriers serve as side bands with respect to the central carrier. Specifically, in the case where the 21-st carrier is provided with a certain level in a positive amplitude direction (see the previously-indicated symbol sequence "0"), the 21-st carrier is equivalent to a positive side band (an upper side band) among upper and lower side bands which results from amplitude modulation of the central carrier with a signal having a frequency equal to 21 times the symbol frequency. Accordingly, during an effective symbol interval, the side band in question rotates around the central carrier 21 times. During a period corresponding to a guard interval, the side band in question rotates by 1/2. In the case of the next sequence (see the previously-indicated symbol sequence "1"), the 21-st carrier is equivalent to a positive side band (an upper side band) among upper and lower side bands which results from angle modulation of the central carrier with a negative signal. In the case of the second next sequence (see the previously-indicated symbol sequence "2"), the 21-st carrier is equivalent to a negative side band (a lower side band) among upper and lower side bands which results from angle modulation of the central carrier with a negative signal. In the case of the third next sequence or the last sequence (see the previously-indicated symbol sequence "3"), the 21-st carrier is equivalent to a negative side band (a lower side band) among upper and lower side bands which results from angle modulation of the central carrier with a positive signal. Regarding the rotations of the positive and negative 21-st carriers, the positions thereof are the same at the start and the end of an effective symbol interval. Regarding the rotations of the positive and negative 21-st carriers in a guard interval, the phases thereof vary by 90° for every symbol interval. Accordingly, in a receiver side, the position of a symbol sync signal can be detected by sensing the signal phase changing conditions. The IFFT and pilot signal generating circuit 3 operates in response to a clock signal fed from the clock signal generating circuit 10. Regarding each of the real part and the imaginary part, the operation of the IFFT and pilot signal generating circuit 3 corresponds to subjecting 248 carriers to 256 QAM responsive to the 248 output signals from the S/P conversion circuit 2 respectively. The IFFT and pilot signal generating circuit 3 generates the 248 modulation-resultant signals in each of the real part and the imaginary part. The IFFT and pilot signal generating circuit 3 combines the 248 modulation-resultant signals of the real part into a multiplexing-resultant signal corresponding to the real part. Also, the IFFT and pilot signal generating circuit 3 combines the 248 modulation-resultant signals of the imaginary part into a multiplexing-resultant signal corresponding to the imaginary part. In the IFFT and pilot signal generating circuit 3, discrete frequency points corresponding to the respective carriers are generated in response to the clock signal fed from the clock signal generating circuit 10. Discrete frequency point information is transmitted as Nyquist frequency information representing a value equal to a half of a period N. Since the Nyquist frequency information agrees with a half of the discrete frequency point information in period, a sample position signal for operating an FFT (fast Fourier transform) circuit can be generated in a receiver side by reproducing the Nyquist frequency information and executing a frequency multiplying process (a frequency doubling process). The Nyquist frequency information is generated or added by applying a given-level signal to an N/2 real-part input terminal R (and/or an N/2 imaginary-part input terminal I) of the IFFT and pilot signal generating circuit 3. For example, the given-level signal is produced by a suitable signal generator provided in the IFFT and pilot signal generating circuit 3. The output signals of the IFFT and pilot signal generating circuit 3 are fed to a guard interval setting circuit 4 including a RAM (random access memory) 4A. As shown in Fig. 4, the guard interval setting circuit 4 provides a guard interval "gi" of a given length for every symbol of the output signals of the IFFT and pilot signal generating circuit 3. Specifically, each guard interval "gi" has a temporal length of 60.6 µsec. In addition, each transmission symbol interval "ta" is composed of a guard interval "gi", and an effective symbol interval "ts" following the guard interval "gi". Each transmission symbol interval "ta" corresponds to 2646.6 µsec while each effective symbol interval "ts" corresponds to 2586 µsec. The guard intervals are designed to reduce multipath distortions caused by a transmission line. The guard interval setting circuit 4 operates in response to a clock signal fed from the clock signal generating circuit 10. In the guard interval setting circuit 4, final portions of the output signals of the IFFT and pilot signal generating circuit 3 in every window interval (every symbol interval) are copied, and the copy-resultant signal portions are moved to temporal positions immediately preceding window interval signals (effective symbol interval signals). To implement the above-indicated process, the guard interval setting circuit 4 functions as follows. Specifically, the output signals of the IFFT and pilot signal generating circuit 3 are stored, sequentially sample by sample, into the RAM 4A for every window interval (every symbol interval). Then, finally-stored portions of the output signals of the IFFT and pilot signal generating circuit 3 are read out from the RAM 4A so that signals occupying a guard interval "gi" are generated. Subsequently, the output signals of the IFFT and pilot signal generating circuit 3 are read out from the RAM 4A in a sequence starting from the firstly-stored portions thereof so that signals occupying an effective symbol interval "ts" are generated. The previously-indicated Nyquist frequency information can be transmitted by using not only an effective symbol interval but also a guard interval. Regarding the Nyquist frequency information, to maintain the continuity with preceding and following IFFT window interval signals, it is preferable that the pilot signal corresponding to one wavelength multiplied by a given integer is present in a guard interval. In this case, the pilot signal in a symbol interval is continuously present over a guard interval and an effective symbol interval. Thus, an actually-transmitted pilot signal, that is, the pilot signal up-converted into a transmission RF range, has a monochromatic frequency spectrum (a single-line frequency spectrum). In this embodiment, the pilot signal has the Nyquist frequency. It should be noted that the frequency of the pilot signal may differ from the Nyquist frequency as long as there is a relation in frequency between the pilot signal and the sample position signal which is denoted by a simple ratio between integers. The pilot signal may use transmitted highest-frequency information. In the case of IFFT having a period M, a pilot signal is located at a frequency position equal to a half of a Nyquist frequency corresponding to each of a period M/4 and a period 3M/4. In addition, carriers transmitted by OFDM use those corresponding to first to M/4-th output signals from the IFFT, and those corresponding to 3M/4-th to M-th output signals from the IFFT. Thus, it is possible to generate signals equivalent to those generated in the case of M=2N. Accordingly, a continuous pilot signal can be transmitted by using an effective symbol interval as well as a guard interval. The sample position signal can be generated by recovering the pilot signal and multiplying the frequency of the recovered pilot signal by 4. In the case where window interval signal information of FFT can be recovered separately, FFT calculations for an OFDM signal can be implemented by combining the window interval signal information and the sample position signal. Thus, in this case, the OFDM signal can be decoded. A description will now be given of a symbol interval "ta" related to the guard interval setting circuit 4. In the case where the used frequency band is equal to 99 kHz and the period N is given as N=256, an effective symbol frequency "fs" and an effective symbol period "ts" are expressed as follows. fs = 99,000/256 = 387 Hz ts = 1/fs = 2.586 µsec When the guard interval "gi" for removing multipath effects is set to six times the sample period (six times the reciprocal of the used frequency band), the guard interval "gi" is given as follows. gi = (1/99.000) × 6 = 60.6 µsec In this case, the symbol interval "ta" and the symbol frequency "fa" are given as follows. ta = ts + gi = 2586 + 60.6 = 2646.6 µsec fa = 1/ta = 378 Hz Output signals of the guard interval setting circuit 4 are fed to a D/A converter 5, being converted into corresponding analog signals thereby. The D/A converter 5 operates in response to a clock signal fed from the clock signal generating circuit 10. The D/A converter 5 outputs the resultant analog signals to a LPF (low pass filter) 6. Only components of the output signals of the D/A converter 5 in a desired frequency band are passed through the LPF 6. Output signals of the LPF 6 which correspond to a real part and an imaginary part (an I component and a Q component) are fed to a quadrature modulator 7 as baseband signals. A local oscillator 9 outputs a given-frequency signal, for example, a 10.7-MHz signal, to the quadrature modulator 7. The frequency of the output signal of the local oscillator 9 agrees with the central intermediate-frequency (IF). The local oscillator 9 outputs the given-frequency signal to a 90° phase shifting circuit 8. The circuit 8 shifts the phase of the given-frequency signal by 90°, and outputs the phase-shift resultant signal to the quadrature modulator 7. In this way, a pair of given-frequency signals having a quadrature relation are fed to the quadrature modulator 7. In the quadrature modulator 7, the quadrature given-frequency signals are modulated in accordance with the baseband signals outputted from the LPF 6 so that the baseband signals are converted into an IF OFDM (intermediate frequency OFDM) signal. The IF OFDM signal has multiple IF orthogonal carriers which are modulated as indications of the output baseband signals of the LPF 6. The IF OFDM signal is changed by a frequency converter 11 into an RF OFDM (radio frequency OFDM) signal in a desired frequency band for transmission. The RF OFDM signal has multiple RF orthogonal carriers which are modulated as indications of the output baseband signals of the LPF 6. The frequency converter I includes a local oscillator and a mixer. In the frequency converter 11, the IF OFDM signal and the output signal of the local oscillator are mixed by the mixer so that the IF OFDM signal is converted into the RF OFDM signal. The RF OFDM signal is fed to a transmitting section 12 from the frequency converter 11. The transmitting section 12 includes a linear power amplifier and a transmission antenna. The RF OFDM signal is fed via the linear power amplifier to the transmission antenna, being radiated by the transmission antenna into a transmission line (the air). The output signal of the local oscillator 9 is also fed to the clock signal generating circuit 10. The circuit 10 generates clock signals in response to the output signal of the local oscillator 9 by frequency dividing processes, and outputs the generated clock signals to the S/P conversion circuit 2, the symbol interval setting circuit 3S, the IFFT and pilot signal generating circuit 3, the guard interval setting circuit 4, and the D/A converter 5 as operation timing control signals respectively. In this embodiment, during every 1-symbol period, 248 parallel digital data pieces each having 8 bits (4 bits plus 4 bits) are transmitted together with 248 carriers. Accordingly, the transmission data rate corresponds to 248 bytes per symbol interval. Thus, the transmission data rate per second is approximately equal to 750 kilo-bits. Sixth Embodiment Fig. 8 shows a signal receiving apparatus using orthogonal frequency division multiplexing (OFDM) according to a sixth embodiment of this invention. The signal receiving apparatus of Fig. 8 is able to accept an RF OFDM signal transmitted by the signal transmitting apparatus of Fig. 7. The signal receiving apparatus of Fig. 8 is similar to the signal receiving apparatus of Fig. 5 except that a symbol sync signal generating circuit 33A is used instead of the symbol sync signal generating circuit 33 in Fig. 5. With reference to Fig. 8, the symbol sync signal generating circuit 33A senses 90° phase changes in transmitted reference carriers, and detects a symbol interval in response to the sensed 90° phase changes and also a sample clock signal reproduced by a sample sync signal generating circuit 32. The symbol sync signal generating circuit 33A produces a symbol sync signal related to the detected symbol interval. As shown in Fig. 9, the symbol sync signal generating circuit 33A includes a variable frequency divider 61 and a frequency doubler 61A. The frequency doubler 61A receives the sample clock signal from the sample sync signal generating circuit 32, and doubles the frequency of the sample clock signal. The frequency doubler 61A outputs a signal having a frequency equal to 198 kHz. The output signal of the frequency doubler 61A is fed to the variable frequency divider 61. The device 61 divides the frequency of the output signal of the frequency doubler 61A by a value variable in the range of 1/23 to 1/27. The output signal of the variable frequency divider 61 is applied to a multiplier 62. In addition, the output signal of a multiplier 40 (see Fig. 6) within a quadrature demodulator which corresponds to a real part is applied to the multiplier 62. It should be noted that the output signal of a multiplier 41 (see Fig. 6) within a quadrature demodulator which corresponds to an imaginary part may be applied to the multiplier 62 instead of the output signal of the multiplier 40 (see Fig. 6). The phase of each transmitted reference carrier (each transmitted reference signal) is shifted by 90° for every symbol interval. The frequency division factor used in the variable frequency divider 61 is normally set to about 1/25. The frequency division factor changes when the phase of the transmitted reference carrier shifts. The multiplier 62 serves as a phase comparator operating on the output signals of the multiplier 40 (see Fig. 6) and the variable frequency divider 61. The output signal of the multiplier 62 is fed via an LPF 63 to a delay circuit 64 and an adding circuit 65. The LPF 63 serves to pass only low-frequency components of the output signal of the multiplier 62 which correspond to a phase error signal effective in frequency control. The circuit 64 delays the output signal of the LPF 63 by a given time. The circuit 64 outputs the delay-resultant signal to the adding circuit 65. The circuit 65 adds the output signal of the LPF 63, that is, the non-delayed signal, and the delayed signal fed from the circuit 64. The delay circuit 64 and the adding circuit 65 compose a filter which is designed to attenuate unwanted signal components. The output signal of the adding circuit 65 is fed to the variable frequency divider 61 as a control signal. The variable frequency divider 61 serves as a VCO circuit. When the phase of the output signal of the VCO circuit 61 advances relative to the phase of the output signal of the multiplier 40 (see Fig. 6), the frequency division factor used in the variable frequency divider 61 is increased to retard the phase of the output signal of the VCO circuit 61. When the phase of the output signal of the VCO 61 retards relative to the phase of the output signal of the multiplier 40 (see Fig. 6), the frequency division factor used in the variable frequency divider 61 is decreased to advance the phase of the output signal of the VCO circuit 61. The VCO circuit 61, the multiplier 62, the LPF 63, the delay circuit 64, and the adding circuit 65 compose a PLL circuit which serves to detect or reproduce phase shift information transmitted with the ±21-st carriers. The phase of each transmitted reference carrier (each transmitted reference signal) is shifted by 90° for every symbol interval, and hence the PLL circuit can implement phase detection at an optimal efficiency. The VCO circuit 61 outputs a symbol sync signal which corresponds to the detected phase shift information. With reference back to Fig. 8, the reference levels for the amplitude and angle modulating signals which are transmitted with the ±21-st carriers are detected or recovered by the FFT QAM decoding circuit 27. The decoding of the QAM signal is executed by calculating processes using signal ratios with respect to the reference levels. The reference carriers provided with a given phase difference (a given phase change) for every symbol interval use carriers for transmitting transmission characteristic measuring information and QAM decoding level references. A carrier with energy which uniformly spreads over a plurality of symbol intervals is suited for such a reference carrier provided with phase changes. Accordingly, the ±21-st carriers are used as the reference carriers provided with phase changes. The reference information in the amplitude direction and the reference information in the angle direction are alternately transmitted, and thus the phase differences (the phase changes) corresponding to an odd number times 90° are given to the ±21-th carriers. In general, a signal-detecting PLL circuit produces a maximum output with respect to a signal having phase changes corresponding to an odd number times 90°. Therefore, the PLL circuit in the symbol sync signal generating circuit 33A can efficiently detect the reference signal (the phase-change information). Thus, it is possible to accurately reproduce the symbol sync signal. A signal transmitting apparatus using orthogonal frequency division multiplexing includes an inverse fast Fourier transform circuit for converting a digital information signal into a first multi-value QAM modulation signal. A guard interval setting circuit is operative for periodically generating a guard interval signal equal to a time segment of the first multi-value QAM modulation signal, and inserting the guard interval signal into the first multi-value QAM modulation signal to convert the first multi-value QAM modulation signal into a second multi-value QAM modulation signal. A clock signal generating circuit is operative for generating a first clock signal which drives the inverse fast Fourier transform circuit, and generating a second clock signal which drive the guard interval setting circuit. The inverse fast Fourier transform circuit is operative for generating a pilot signal which corresponds to a given-order carrier, and adding the pilot signal to the first multi-value QAM modulation signal. The pilot signal has a predetermined frequency and an angle modulation component which remains constant over a plurality of symbol periods. The pilot signal corresponding to a given integer times its wavelength is present in a guard interval occupied by the guard interval signal in the second multi-value QAM modulation signal. The pilot signal is continuously present over the guard interval and another interval.

Claims: A signal transmitting apparatus using orthogonal frequency division multiplexing, comprising: a) an inverse fast Fourier transform circuit (3) for converting a digital information signal into a first multi-value QAM modulation signal, wherein said inverse fast Fourier transform circuit (3) comprises means for generating a pilot signal which has a predetermined frequency, and adding said pilot signal to said first multi-value QAM modulation signal; b) a guard interval setting circuit (4) for periodically generating a guard interval signal equal to a time segment of said first multi-value QAM modulation signal, and inserting said guard interval signal into said first multi-value QAM modulation signal to convert said first multi-value QAM modulation signal into a second multi-value QAM modulation signal; and c) a clock signal generating circuit (10) for generating a first clock signal which drives said inverse fast Fourier transform circuit, characterized by d) a digital to analogue converting circuit (5) for converting said second multi-value QAM modulation signal to an analogue second multi-value QAM modulation signal, e) wherein said clock signal generating circuit (10) is arranged to generate both of a second clock signal which drives said guard interval setting circuit (4) wand a third clock signal which drives said digital to analogue converting circuit (5) , so that said pilot signal corresponds to a given-order carrier and has an angle modulation component which remains constant over a plurality of symbol periods, a given integer number of wavelengths of said pilot signal are present in a guard interval occupied by said guard interval signal in said analogue second multi-value QAM modulation signal, and said pilot signal is continuously present over said guard interval and an effective symbol interval and has a monochromatic frequency spectrum. A signal receiving apparatus using orthogonal frequency division multiplexing and being adapted to receive a signal transmitted by a signal transmitting apparatus according to claim 1, the signal receiving apparatus comprising: a) a fast Fourier transform circuit (27) for converting a multi-value QAM modulation signal into a digital information signal; characterized by b) first means (23) for reproducing said pilot signal by a demodulation method; and c) second means (32) for generating a fourth clock signal based on the reproduced pilot signal, wherein said fast Fourier transform circuit (27) is driven by said fourth clock signal. A signal receiving apparatus according to claim 2, wherein said first means (23) are arranged to reproduce said pilot signal from said multi-value QAM modulation signal by angle demodulation, and wherein said second means (32) are arranged to convert a frequency of said reproduced pilot signal to change said reproduced pilot signal into said fourth clock signal.

Inventors: SUGIYAMA KENJI, TAKAHASHI NOBUAKI, TAKAHASHI SUSUMU, SUGIYAMA, KENJI, TAKAHASHI, NOBUAKI, TAKAHASHI, SUSUMU
Applicants: VICTOR COMPANY OF JAPAN, VICTOR COMPANY OF JAPAN, LIMITED
Application year: 1995
Main classification: H04L27
IPC codes: H04L27