AIR INSTITUTE OF ARTIFICIAL INTELLIGENCE AND ROBOTICS, XJTU 986 (4)周期卷积和 1.如果 Y()=X1(k)X2(k) y(n)=lDFSLY(K) =∑x(m)x2(n-m)=∑x2(m)(n=m) m=0 数字信号处理简明教程Institute of Artificial Intelligence and Robotics, XJTU 1986 数字信号处理简明教程 （4）周期卷积和 1. 如果 则： ( ) ~ ( ) ~ ( ) ~ 1 2 Y k = X k X k   − = − = = − = − = 1 0 1 0 1 2 2 1 ( ) ~ ( ) ~ ( ) ~ ( ) ~ ( )] ~ ( ) [ ~ N m N m x m x n m x m x n m y n IDFS Y k