(Solution) - Let hmin n denote a minimum phase sequence with z transform -(2025 Original AI-Free Solution)

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Let hmin[n] denote a minimum-phase sequence with z-transform Hmin(z). If h[n] is a causal non-minimum-phase sequence whose Fourier transform magnitude is equal to |Hmin(ej?)|, Show that
|h[0]| < |hmin[0]|.
(Use the initial-value theorem together with Eq. (5.103).)