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Q1. Find the impulse response of the following LTI systems and draw their block diagram.
 
Q1. Find the impulse response of the following LTI systems and draw their block diagram.
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(assume that the impulse response is causal and zero when <math>n<0</math>.
  
 
<math>{\color{White}ab}\text{a)}{\color{White}abc}y[n] = 0.6 y[n-1] + 0.4 x[n]</math>
 
<math>{\color{White}ab}\text{a)}{\color{White}abc}y[n] = 0.6 y[n-1] + 0.4 x[n]</math>

Revision as of 10:58, 8 October 2010


Under construction -Jaemin


Quiz Questions Pool for Week 8


Q1. Find the impulse response of the following LTI systems and draw their block diagram.

(assume that the impulse response is causal and zero when $ n<0 $.

$ {\color{White}ab}\text{a)}{\color{White}abc}y[n] = 0.6 y[n-1] + 0.4 x[n] $

$ {\color{White}ab}\text{b)}{\color{White}abc}y[n] = y[n-1] + 0.25(x[n] - x[n-3]) $


Q2. Suppose that the LTI filter $ h_1 $ satifies the following difference equation between input $ x[n] $ and output $ y[n] $.

$ {\color{White}ab} y[n] = h_1[n]\;\ast\;x[n] = \frac{1}{4} y[n-1] + x[n] $

Then, find the inverse LTI filter ($ h_2 $) of $ h_1 $, which satisfies the following relationship for any discrete-time signal $ x[n] $,

$ {\color{White}ab} x[n] = h_2[n]\;\ast\;h_1[n]\;\ast\;x[n] $


$ \text{Q3.} $


$ \text{Q4.} $


$ \text{Q5.} $


$ \text{Q6.} $


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