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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. | ||
| − | (assume that the impulse response is causal and zero when <math>n<0</math> | + | (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 11:58, 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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