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== solution == | == solution == | ||
<math> y[n]=x[n]*h[n]</math> | <math> y[n]=x[n]*h[n]</math> | ||
| − | <math> y[n]=\sum^{\infty}_{k=-\infty}x[n]*h[n]</math> | + | |
| + | <math> y[n]=\sum^{\infty}_{k=-\infty}x[n]*h[n-k]</math> | ||
Revision as of 10:44, 15 October 2008
question
3. An LTI system has unit impulse response $ h[n]=u[-n] $ Compute the system's response to the input $ x[n]=2^{n}u[-n]. $(Simplify your answer until all \sum signs disappear.)
solution
$ y[n]=x[n]*h[n] $
$ y[n]=\sum^{\infty}_{k=-\infty}x[n]*h[n-k] $
