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==Communative Property for Discrete Time==
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[[Category: ECE]]
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[[Category: ECE 301]]
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[[Category: Summer]]
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[[Category: 2008]]
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[[Category: asan]]
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[[Category: Bonus]]
 
Given:
 
Given:
  

Revision as of 09:26, 21 November 2008

Given:

$ y[n]=x[n]*h[n]=\sum_{k=-\infty}^{\infty}(x[k]h[n-k]) $

  1. $ x[n]*h[n]=\sum_{k=-\infty}^{\infty}(x[k]h[n-k]) $
  2. $ k'=n-k $
  3. $ x[n]*h[n]=\sum_{k'=\infty}^{-\infty}(x[n-k']h[k']) $ from 1 and 2
  4. $ x[n]*h[n]=h[n]*x[n] $

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