Finite number of values of its unit sample response

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You are told that it is always possible to determine whether or not a causal all-pole filter is stable from a finite number of values of its unit sample response. For example, if H(z) is a pth-order all-pole filter, given h(n) for n = 0, l, ... , N, then the stability of H(z) may be determined. If this is true, explain the procedure and list any conditions that must · be placed on p or N. If false, explain why it cannot be done.

Reference no: EM131834769

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