m (New page: == Define a DT LTI System == <math> \,\ x[n] = (3 + 6)^n </math> === h[n] and H(z) === We obtain <math> h[n] </math> by finding the response of <math> x[n] </math> to the unit impulse r...) |
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== Define a DT LTI System == | == Define a DT LTI System == | ||
− | <math> \,\ x[n] = | + | <math> \,\ x[n] = 5*u[n-5] + 6*u[n+6] </math> |
=== h[n] and H(z) === | === h[n] and H(z) === | ||
+ | <br><br> | ||
We obtain <math> h[n] </math> by finding the response of <math> x[n] </math> to the unit impulse response (<math> \delta[n] </math>). | We obtain <math> h[n] </math> by finding the response of <math> x[n] </math> to the unit impulse response (<math> \delta[n] </math>). | ||
+ | |||
+ | <math> \,\ h[n] = 5*\delta[n-5] + 6*\delta[n+6] </math> |
Revision as of 15:03, 25 September 2008
Define a DT LTI System
$ \,\ x[n] = 5*u[n-5] + 6*u[n+6] $
h[n] and H(z)
We obtain $ h[n] $ by finding the response of $ x[n] $ to the unit impulse response ($ \delta[n] $).
$ \,\ h[n] = 5*\delta[n-5] + 6*\delta[n+6] $