Complementary filters are such that their frequency responses add to a delay. Given an \(M\) th-order linear-phase FIR filter with transfer function \(H(z)\), deduce the conditions on \(L\) and \(M\) such that the overall filter shown in Figure 5.28 is complementary to \(H(z)\).

Transcribed Image Text:

x(n)- Fig. 5.28. Overall filter block diagram. N -L H(z) + y(n)