Question: 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

Consider an FIR system with the following system function:?

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

Ein) =hen)

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