周期信号的非整周期采样理论

The Non-Integer-Period Sampling Theory for Periodic Siqnals

研究了周期信号的采样理论，从理论上揭示了Ｓｈａｎｎｏｎ采样定理在应用于周期信号时的局限性。讨论了连续周期信号被均匀采样后的离散信号的频谱混迭。基于周期信号的Ｆｏｕｒｉｅｒ级数，提出了利用整周期，多整周期和非整周期采样值重构原始连续周期信号的方法。

The sampling theory of periodic signals has been studied in this paper. The limitations of Shannon Sampling theorem in its application to the periodic signals have been exposed. The essence of continuous time Periodic signals sampling Process alias has been pointedout. A methoe that is based on the Integer-Period, Mitt-Interger Period and Non-Integer-Periodicsignals has been proposed in this paper.