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* [[ECE438_Week10_Quiz_Q1sol|Solution]]. | * [[ECE438_Week10_Quiz_Q1sol|Solution]]. | ||
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| − | Q2. | + | Q2. The condition for the discrete-time signal <math>x[n]</math> to be real is |
| − | + | <math> x[n]=x^{\ast}[n] </math> | |
| − | + | Then, what is the condition of the frequency response <math>X(w)</math> for <math>x[n]</math> to be real? | |
| − | + | ||
| − | + | ||
| − | + | ||
| − | Then, what is the condition of the frequency response <math> | + | |
(Hint: Apply DTFT to the above equation) | (Hint: Apply DTFT to the above equation) | ||
Revision as of 19:02, 26 October 2010
Quiz Questions Pool for Week 10
Q1. Consider the following difference equation
- $ y[n]=ay[n-1]+x[n]-x[n-1]\,\! $
- a. Compute the transfer function $ H(z) $, and find its poles and zeros.
- b. Compute the impulse response $ h[n] $ using a ROC of $ |z|>a $. For what values of $ a $ is the system stable?
- c. Compute the impulse response $ h[n] $ using a ROC of $ |z|<a $. For what values of $ a $ is the system stable?
Q2. The condition for the discrete-time signal $ x[n] $ to be real is
$ x[n]=x^{\ast}[n] $
Then, what is the condition of the frequency response $ X(w) $ for $ x[n] $ to be real?
(Hint: Apply DTFT to the above equation)
Q3.
Q4.
Q5.
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