Signal processing apparatus, wireless communication system, signal processing method and program

A wireless communication system comprising:

• a transmission device;
• a relay device;
• and
• a reception device, wherein
• the relay device includes
• a relay circuitry that receives a signal wirelessly transmitted from the transmission device and transmits waveform data indicating a waveform of the received signal to the reception device, and
• the reception device includes
• a reception circuitry that receives the waveform data,
• a timing detection circuitry that detects a timing of a frame in the waveform data based on a sliding correlation between each of a plurality of types of first transmitted known signals obtained by adding different combinations of a first frequency shift corresponding to a Doppler shift and a first frequency variation corresponding to a Doppler variation that is a time variation of the Doppler shift to the first known signal and the waveform data,
• an estimation circuitry that estimates a Doppler shift and a Doppler variation received by the received signal based on correlation calculation between each of a plurality of types of second transmitted known signals obtained by adding different combinations of a second frequency shift corresponding to a Doppler shift and a second frequency variation corresponding to a Doppler variation to a second known signal and the second known signal in the waveform data specified by the detected timing, and
• a compensation circuitry that compensates for the Doppler shift and the Doppler variation estimated for the waveform data.

A signal processing method comprising:

• detecting a timing of a frame in waveform data based on a sliding correlation between each of a plurality of types of first transmitted known signals obtained by adding different combinations of a first frequency shift corresponding to a Doppler shift and a first frequency variation corresponding to a Doppler variation that is a time variation of the Doppler shift to a first known signal and the waveform data representing a waveform of a received signal in a communication device;
• estimating a Doppler shift and a Doppler variation received by the received signal based on correlation calculation between each of a plurality of types of second transmitted known signals obtained by adding different combinations of a second frequency shift corresponding to a Doppler shift and a second frequency variation corresponding to a Doppler variation to a second known signal and the second known signal in the waveform data specified by the detected timing;
• and
• compensating for Doppler shift and the Doppler variation estimated for the waveform data.