The output should start at 1 0 1 and should stop at

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Unformatted text preview: Is this reasonable? The output should start at (-1 + 0) = -1 and should stop at (3 + 2) = 5, which is indeed the case Additional Notes on Convolution Sum Computation ECE 5650/4650 Modern DSP Notes 5 Example: Two infinite duration sequences, x(n) = u (n), h(n) = a nu (n) – By direct substitution into the convolution sum formula we have y ( n) = ∞ ∑ a u ( k )u ( n − k ) k k =−∞ – The term u(k) sets the lower sum limit to zero while the term u(n - k) sets the upper sum limit to n, hence n < 0 1 − a n+1 0, y ( n) = n k u ( n) = ∑ k = 0 a , n ≥ 0 1 − a 1 1-a y(n) ... ... 1 -1 0 1 2 Additional Notes on Convolution Sum Computation ... n...
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This document was uploaded on 02/25/2012.

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