Problem

H(z) is the system function for a stable LTI system and is given by (a) H(z...

H(z) is the system function for a stable LTI system and is given by

(a) H(z) can be represented as a cascade of a minimum-phase system Hmin1(z) and a unity-gain all-pass system Hap(z), i.e.,

(b) H(z) can be expressed as a cascade of a minimum-phase system Hmin2(z) and a generalized linear-phase FIR system Hlp(z):

Determine a choice for Hmin2(z) and Hlp(z) and specify whether or not these are unique up to a scale factor.

H(z) is the system function for a stable LTI system and is given by

(a) H(z) can be represented as a cascade of a minimum-phase system Hmin1(z) and a unity-gain all-pass system Hap(z), i.e.,

(b) H(z) can be expressed as a cascade of a minimum-phase system Hmin2(z) and a generalized linear-phase FIR system Hlp(z):

Determine a choice for Hmin2(z) and Hlp(z) and specify whether or not these are unique up to a scale factor.

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