正弦信号干扰下低通带限型频谱信号的采样

Sampling Theorem for Band-limited Low-pass Signal with Disturbance from a Sine Signal

提出了正弦信号干扰下的带限低通信号的采样方法 ,克服了 Shannon采样定理对采样频率要求过高的缺点。当低频有效信号的最高频率为 fh,正弦干扰信号的频率为 f0 时 ,低频有效信号频谱不出现频谱混叠的采样频率为 f0 +fh N+1<fs<f0 - fh N 。针对电网工频周期信号对生产过程测试参数影响的实际情况 ,给出了一个应用实例。理论证明和实际应用都表明了该方法的有效性。

This paper proposed a sampling theorem for band-limited signal with disturbance from a sine function. It can recovery the available signal under low sampling rate. When the upper limit of band-limited low-pass available signal frequency is f h and the frequency point of the disturbance is f 0, the sampling frequency, with which the spectrum of available signal do not present frequency alias, is f 0+f hN+1<f s<f 0-f hN. An application has shown the theorem is available.