Question: Prove that for a linear-phase filter whose impulse response has length (M L), its (M) polyphase components (Equation (8.35)) should satisfy [E_{j}(z)= pm z^{-(L-1)} E_{M-1-j}left(z^{-1}

Prove that for a linear-phase filter whose impulse response has length \(M L\), its \(M\) polyphase components (Equation (8.35)) should satisfy

\[E_{j}(z)= \pm z^{-(L-1)} E_{M-1-j}\left(z^{-1}\right) .\]

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

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

Step by Step Solution

3.42 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Digital Control System Analysis And Design Questions!