A causal discrete time filter has a z-domain description of (22+0.82 +0.64)(z-1.5) Ĥ(z) = 23 a.) Is this filter FIR or IIR? Briefly justify your answer. b.) Is is filter stable or not? Briefly justify your answer. c.) Find the impulse response, h[n], for this filter. d.) Find the transfer function of the filter as function of normalized radial fre- quency, W. e.) For your answer in part d.), find the value of the transfer function at = -2π/3, = 0 and ŵ= +2/3. If the answer is complex, specify the magnitude and angle (in degrees).

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4.)
A causal discrete time filter has a z-domain description of
(22+0.82 +0.64)(z-1.5)
Ĥ(z)
a.) Is this filter FIR or IIR? Briefly justify your answer.
23
b.) Is is filter stable or not? Briefly justify your answer.
c.) Find the impulse response, h[n], for this filter.
d.) Find the transfer function of the filter as function of normalized radial fre-
quency, .
e.) For your answer in part d.), find the value of the transfer function at =
-2π/3, = 0 and = +27/3. If the answer is complex, specify the magnitude
and angle (in degrees).
Transcribed Image Text:4.) A causal discrete time filter has a z-domain description of (22+0.82 +0.64)(z-1.5) Ĥ(z) a.) Is this filter FIR or IIR? Briefly justify your answer. 23 b.) Is is filter stable or not? Briefly justify your answer. c.) Find the impulse response, h[n], for this filter. d.) Find the transfer function of the filter as function of normalized radial fre- quency, . e.) For your answer in part d.), find the value of the transfer function at = -2π/3, = 0 and = +27/3. If the answer is complex, specify the magnitude and angle (in degrees).
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