非均匀取样周期信号取样时间偏差估计算法数学证明

Mathematical Proof of Estimation Algorithm of Time Offset of Nonuniforme Sampled Periodic Signals

本文证明了在非均匀取样周期信号中只要满足寄生频线不为周期信号基波频线的整数倍这一工程条件，周期信号的各次谐波将不会与非均匀取样产生的寄生谱线发生混叠．

In this paper,we prove that when periodic signals are sampled nonuniformly,all hanmonics will not interleave with spurious spectrum caused by nonform sampling,only if the spurious spectrum does not equal to integer time of fundamental frequency of the periodic signal.