Wideband Undersampling Digital Receiver
Pace, Phillip E.
Leino, Richard E.
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An antenna receives an analog waveform and an analog signal indicative of the amplitude and frequency of the analog waveform. The analog signal is processed in a plurality of parallel digital processing channels each arranged to digitize the analog signal at a corresponding sampling frequency fsi to produce a plurality of digital signals. A discrete Fourier transform is applied to each of the digital signals output to produce a corresponding plurality of unique Fourier spectra of length mi=(fs;)(TL;) where TLi is the integration time for the discrete Fourier transform for each digital processing channel. The lengths of the Fourier spectra (m;) are selected to be pairwise relatively prime. The discrete Fourier transform encodes the signals in same form as the symmetrical number system (SNS). A SNS-todecimal algorithm is then applied to the detected bin values (a;) to determine the numerical value of the frequency f of the analog waveform. The receiver resolves all undersampiing ambiguities exactly, thereby relaxing the speed requirements on the digital section of the receiver.
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