Show that h is invertible with an lti inverse that is causal

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Let H{*} be a causal, stable LTI systemwith rational transfer function H(s). Show that H(s) is invertible with an LTI inverse that is causal and stable (meaning, we can implement the inverse system) if and only if all poles and zeros of H(s) are strictly in the left half plane. We call such an H(s) minimum phase.

Reference no: EM13291894

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