基于非均匀采样的信号频率、幅值和相位检测

摘要

分析了单频和多频信号经非均匀采样的离散傅里叶频谱,推导出频率、幅值、相位的计算表达式,解决了目前文献中未提及的基于非均匀采样方法的幅值和相位检测问题.此外,提出一种基于多路并行非均匀采样的信号检测方法,通过合并多路非均匀采样信号频谱,使谱估计结果趋于原信号的真实频谱,进而实现信号检测.数值仿真显示,提出的方法可实现信号的频率、幅值、相位的精确检测,可以突破奈奎斯特频率限制、抗混叠能力强,且计算复杂性小.%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.