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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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