The transfer function of a discrete-time system is with α = r 1 e jθ1 and β

Question:

The transfer function of a discrete-time system is

22 - 1 z - (a + B)z +aß H(z) =

with α = r1 ejθ1 and β = r2ejθ2, where ri > 0 and θi are angles between 0 and 2π

(a) Determine the range of values of r1 and r2 for which the impulse response h[n] of the system tends to zero as n †’ ˆž.

(b) For what values of α and β would the frequency response be zero at ω = 0 and Ï€ and ˆž at ω = Ï€/2?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: