3. Consider a certain system defined by impulse response h(n) such that h(n) = -0.8^n u(-n - 1), |z| < |0.8| calculate the following: i. transfer function ii. magnitude response of the filter iii. phase response of the filter iv. Sketch magnitude and phase response of the filter at intervals (?/10) radians
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Transfer function: The transfer function H(z) is the Z-transform of the impulse response h(n). Given h(n) = -0.8^n * u(-n - 1), we can find the Z-transform: H(z) = Z{-0.8^n * u(-n - 1)} = -\sum_{n=-\infty}^{-1} (0.8)^n z^{-n} Now, we can rewrite the sum Show more…
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