Abstract:

The discrete Fourier spectrum of non uniformly sampled monochromatic and multi band signals are analyzed, and the representation formulas of frequency, amplitude and phase are deduced. Then, the problem of amplitude and phase detection of this kind of signals based on non-uniform sampling is solved. Furthermore, a novel method of signal detection based on parallel non uniform sampling is proposed. Via combining spectrum of multiple samplers, the calculated spectrum tends to the spectrum of original signal, and the signals are then measured. Numerical simulations show that the proposed method can fulfill precise detection of signal frequency, amplitude and phase, the proposed method can estimate the signal outside the Nyquist band, restrain the aliasing of spectrum, and the computational complexity is low.