QUESTION

We wish to use the Kaiser window method to design a discrete-time filter with generalized linear phase that meets specifications of the following form:

            |H(e^iw)| ≤ 0.01,                 0 ≤ |w| ≤ 0.25Π

0.95 ≤ |H(e^iw)| ≤ 1.05,              0.35Π ≤ |w| ≤ 0.6Π

            |H(e^iw)| ≤ 0.01,                 0.65Π ≤ |w| ≤ Π

(a) Determine the minimum length (M+1) of the impulse response and the value of the Kaiser window parameter ß for a filter that meets the preceding specifications.

(b) What is the delay of the filter?

(c) Determine the ideal impulse response hd[n] to which the Kaiser window should be applied.