Consider an FIR system with the following system function: H(z)

Consider an FIR system with the following system function: 

H(z) = (1 – 0.8ejπ/2z-1)(1 – 0.8e-jπ/2z-1) (1 – 1.5ejπ/4z-1) (1 – 1.5e-jπ/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)

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