Difference between revisions of "ECE438 Week8 Quiz" - Rhea

Revision as of 19:11, 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]) $

• Solution.

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] $

($ \ast $ implies the convolution)

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

(assume that the impulse responses are causal and zero when $ n<0 $)

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

• Solution.

$ \text{Q3.} $

• Solution.

$ \text{Q4.} $

• Solution.

$ \text{Q5.} $

• Solution.

$ \text{Q6.} $

• Solution.

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