Digital instantaneous frequency measurement with wide bandwidth for real-valued waveforms using multiple sub-Nyquist channels

Abstract

In order to break through the bandwidth limitation of digital instantaneous frequency measurement for a real-valued waveform, we developed a frequency estimator with a high dynamic range and low computation cost using multiple sub-Nyquist ADC channels. The procedures of the proposed scheme are as follows: 1) Perform zero-crossing detection on the real-valued signal and use multiple sub-Nyquist ADC channels to sample the output signal; 2) Take several samples of each channel to calculate the folded frequency; 3) Use the frequency residuals of each channel to reconstruct the frequency based on the Chinese remainder theorem. Finally, the algorithm robust analysis and simulation experiments are performed, demonstrating that the scheme of this paper has relatively good anti-noise ability and dynamic adaptability.

Instantaneous Frequency Estimation of Radio Frequency Signal Based on Rydberg Atomic Receiver

“…) In [14], [15], [16], [17], the problem of subsampling signal processing can also be expressed by system of simultaneous congruences, and solved by CRT algorithm. CRT algorithm is widely used in subsampling signal processing, phase unwrapping, pulsed doppler radar and other fields [18], [19], [20], [21].…”

“…CRT is to reconstruct a single integer by its remainders modulo several moduli. It has been widely studied and applied in frequency estimation, phase unwrapping and error code correcting codes [14], [15], [16], [17], [18], [19], [20], [21]. According to MFC structure, first it requires to determine which side from a particular MFC line the mixing signal is located at.…”