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:<math>y[n]=T_2[x[n]]=\frac{1}{2}y[n-1]+x[n]\,\!</math> | :<math>y[n]=T_2[x[n]]=\frac{1}{2}y[n-1]+x[n]\,\!</math> | ||
| − | Then, calculate the impulse response and difference equation of the combined system <math>(T_1+T_2)[x[n]]</math> | + | Then, calculate the impulse response and difference equation of the combined system <math>(T_1+T_2)[x[n]]</math>. |
* [[ECE438_Week11_Quiz_Q1sol|Solution]]. | * [[ECE438_Week11_Quiz_Q1sol|Solution]]. | ||
Revision as of 14:20, 1 November 2010
- Under construction --Zhao
Quiz Questions Pool for Week 11
Q1. Consider the two LTI systems, $ y[n]=T_1[x[n]] $ and $ y[n]=T_2[x[n]] $, with the following difference equations,
- $ y[n]=T_1[x[n]]=x[n]-x[n-1]\,\! $
- $ y[n]=T_2[x[n]]=\frac{1}{2}y[n-1]+x[n]\,\! $
Then, calculate the impulse response and difference equation of the combined system $ (T_1+T_2)[x[n]] $.
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