(New page: ==Communative Property for Discrete Time== Given: <math>y[n]=x[n]*h[n]=\sum_{k=-\infty}^{\infty}(x[k]h[n-k])</math> #<math>x[n]*h[n]=\sum_{k=-\infty}^{\infty}(x[k]h[n-k])</math> #<math>k'...)
(No difference)

Revision as of 12:00, 16 November 2008

Communative Property for Discrete Time

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] $

Alumni Liaison

Questions/answers with a recent ECE grad

Ryne Rayburn