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<math>H(z) = \sum_{k=-\infty}^{\infty}h(n)z^{-n}\,</math>

Revision as of 15:09, 15 October 2008

Number 5

An LTI system has unit impulse response $ h[n] = u[n] - u[n - 2]\, $.

a)Compute the system's function H(z).

b)Use the answer from a) to compute the system's response to the input $ x[n] = cos(\pi n)\, $


Answer

a)

$ H(z) = \sum_{k=-\infty}^{\infty}h(n)z^{-n}\, $

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