An LTI system has the transfer function H(z) = (z - 1)(z - 6) (z-2)(z-3) Compute: (a) The zeros and poles. Is the system stable? (b) The difference equation. (c) The response to input a[n] = {1, -5, 6}. (d) The impulse response h[n].

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An LTI system has the transfer function
H(z) =
(z - 1)(z - 6)
(z-2)(z-3)
Compute:
(a) The zeros and poles. Is the system stable?
(b) The difference equation.
(c) The response to input a[n] = {1, -5, 6}.
(d) The impulse response h[n].
Transcribed Image Text:An LTI system has the transfer function H(z) = (z - 1)(z - 6) (z-2)(z-3) Compute: (a) The zeros and poles. Is the system stable? (b) The difference equation. (c) The response to input a[n] = {1, -5, 6}. (d) The impulse response h[n].
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