An LTI system has the following frequency response: H(w) = 1 – e-j2w Let y[n] be the output sequence and x[n] be the input sequence of the system. (i) Analyze the causality and stability of the LTI system if a zero at z = 0.5 and a pole at z = 0.8 + j0.8 are introduced to the LTI system. Determine the input sequence x[n] to the LTI system that produces the output sequence y[n] = 8[n]. (ii) [u]g

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An LTI system has the following frequency response:
H(w) = 1 – e-j2w
Let y[n] be the output sequence and x[n] be the input sequence of the system.
(i)
Analyze the causality and stability of the LTI system if a zero at z = 0.5
and a pole at z = 0.8 + j0.8 are introduced to the LTI system.
Determine the input sequence x[n] to the LTI system that produces the
output sequence y[n] = 8[n].
(ii)
[u]g
Transcribed Image Text:An LTI system has the following frequency response: H(w) = 1 – e-j2w Let y[n] be the output sequence and x[n] be the input sequence of the system. (i) Analyze the causality and stability of the LTI system if a zero at z = 0.5 and a pole at z = 0.8 + j0.8 are introduced to the LTI system. Determine the input sequence x[n] to the LTI system that produces the output sequence y[n] = 8[n]. (ii) [u]g
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