Consider an FIR system with the following system function:? H(z) = (1 ? 0.8 e j?/2 z -1 )(1 ? 0.8 e- j?/2 z -1

Question

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Consider an FIR system with the following system function:?

H(z) = (1 ? 0.8e^j?/2z^-1)(1 ? 0.8e-^j?/2z^-1) (1 ? 1.5e^j?/4z^-1) (1 ? 1.5e-^j?/4z^-1)

(a) Determine all systems that have the same magnitude response. Which is the minimum-phase system?

(b) Determine the impulse response of all systems in part (a).

(c) Plot the partial energy for the every system and use it to identify the minimum- and maximum ? phase systems.

Ein) =hen)