In Exercise 8.7, a nonminimum delay overlapped solution is possible by choosing

\[\mathbf{C}_{l}(z)=\left[\begin{array}{cccc}D_{0}(z) & R_{1}(z) & 0 & 0 \\0 & R_{0}(z) & R_{1}(z) & 0 \\0 & 0 & R_{0}(z) & D_{1}(z)\end{array}\right]\]

Derive the corresponding solution and depict the resulting structure.

Exercise 8.7

Show the polyphase decomposition structure, as given in Equation (8.35), for an FIR filter with impulse response

\[h(n)=0.25,0.5,0.5,1,1,0.5,0.5,0.25\]

for \(n=0,1, \ldots, 7\). Try to minimize the number of multiplications.

Transcribed Image Text:

M-1 =E(2M). j=0 (8.35)