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[[Category:ECE438Spring2009mboutin]] | [[Category:ECE438Spring2009mboutin]] | ||
| − | a)<math>h[n] = \frac{1}{8}(\delta[n] + \delta[n-1] +\delta[n-2] +\delta[n-3] +\delta[n-4] +\delta[n-5] +\delta[n-6] +\delta[n-7])</math> | + | a) <br /> |
| + | <math>h[n] = \frac{1}{8}(\delta[n] + \delta[n-1] +\delta[n-2] +\delta[n-3] +\delta[n-4] +\delta[n-5] +\delta[n-6] +\delta[n-7])</math> | ||
| + | |||
| + | b)<br /> | ||
| + | <math>y(z) = \frac{1}{8}(x(z) + x(z)z^{-1} + x(z)z^{-2}+x(z)z^{-3}+x(z)z^{-4}+x(z)z^{-5}+x(z)z^{-6}+x(z)z^{-7})</math> | ||
| + | <math>H(z) = \frac{y(z)}{x(z)} = \frac{1}{8}(1 + z^{-1} + z^{-2}+z^{-3}+z^{-4}+z^{-5}+z^{-6}+z^{-7})</math> | ||
Revision as of 11:14, 1 March 2009
a)
$ h[n] = \frac{1}{8}(\delta[n] + \delta[n-1] +\delta[n-2] +\delta[n-3] +\delta[n-4] +\delta[n-5] +\delta[n-6] +\delta[n-7]) $
b)
$ y(z) = \frac{1}{8}(x(z) + x(z)z^{-1} + x(z)z^{-2}+x(z)z^{-3}+x(z)z^{-4}+x(z)z^{-5}+x(z)z^{-6}+x(z)z^{-7}) $
$ H(z) = \frac{y(z)}{x(z)} = \frac{1}{8}(1 + z^{-1} + z^{-2}+z^{-3}+z^{-4}+z^{-5}+z^{-6}+z^{-7}) $
