| Line 1: | Line 1: | ||
| − | <math> | + | <math>y[n] = x[n] + x[n -1]</math> |
| − | + | <math>h[n] = \delta[n] + \delta[n-1]</math> | |
| − | <math> | + | <math>H[z] = \sum_{k=-\infty}^\infty h[k] z^{-k}</math> |
| − | <math> | + | <math> = \sum_{k=0}^1 h[k] z^{-k}</math> |
| + | |||
| + | when k = 0, <math>H[z] = 1</math> | ||
| + | |||
| + | when k = 1, <math>H[z] = z^{-1}</math> | ||
| + | |||
| + | else, <math>H[z] = 0</math> | ||
Latest revision as of 04:35, 26 September 2008
$ y[n] = x[n] + x[n -1] $
$ h[n] = \delta[n] + \delta[n-1] $
$ H[z] = \sum_{k=-\infty}^\infty h[k] z^{-k} $
$ = \sum_{k=0}^1 h[k] z^{-k} $
when k = 0, $ H[z] = 1 $
when k = 1, $ H[z] = z^{-1} $
else, $ H[z] = 0 $
