确定滤波后的信号w [n]的长度，并解释其长度与x [n]的长度和FIR滤波器的长度的关系

Question

确定滤波信号的长度w [n]，和 解释它的长度如何与x [n]的长度和FIR滤波器的长度相关。 我们如何确定滤波信号的长度？enter image description here

Answer 1

Running a signal through a filter is mathematically the same as convolving them with each other.

The length of a discrete convolution = len(w) + len(x) - 1;