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a) <br /> | 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> | + | <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>--[[User:Kim415|Kim415]] 16:15, 1 March 2009 (UTC) |
b)<br /> | 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>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> | + | <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>--[[User:Kim415|Kim415]] 16:15, 1 March 2009 (UTC) |
| + | |||
| + | c)<br /> | ||
| + | |||
| + | <math>H(z) = \frac{1}{8} \prod_{7}^{0}(z - z_{k})</math> | ||
| + | |||
| + | Is anybody who figures out C)?--[[User:Kim415|Kim415]] 16:15, 1 March 2009 (UTC) | ||
Revision as of 11:15, 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]) $--Kim415 16:15, 1 March 2009 (UTC)
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}) $--Kim415 16:15, 1 March 2009 (UTC)
c)
$ H(z) = \frac{1}{8} \prod_{7}^{0}(z - z_{k}) $
Is anybody who figures out C)?--Kim415 16:15, 1 March 2009 (UTC)
