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* [[ECE438_Week14_Quiz_Q1sol|Solution]]. | * [[ECE438_Week14_Quiz_Q1sol|Solution]]. | ||
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| − | Q2. | + | Q2. Consider the following 2D system with input x(m,n) and output y(m,n) |
| + | |||
| + | <math>y(m,n) = x(m,n) + \lambda \left( x(m,n) - \frac{1}{9} \sum_{k=-1}^{1}\sum_{l=-1}^{1}x(m-k,n-l) \right)</math> | ||
| + | |||
| + | a. Is this a linear system? Is it space invariant? <br/> | ||
| + | b. What is the 2D impulse response of this system? <br/> | ||
| + | c. Calculate its frequency response H(<math>e^{j\mu},e^{j\nu}</math>). <br/> | ||
| + | d. Describe how the filter behaves when <math>\lambda</math> is positive and large. <br/> | ||
| + | e. Describe how the filter behaves when <math>\lambda</math> is negative and bigger than -1. <br/> | ||
* [[ECE438_Week14_Quiz_Q2sol|Solution]]. | * [[ECE438_Week14_Quiz_Q2sol|Solution]]. | ||
Revision as of 09:14, 28 November 2010
Quiz Questions Pool for Week 14
Q1. Assume we know (or can measure) a function
$ \begin{align} p(x) &= \int_{-\infty}^{\infty}f(x,y)dy \end{align} $
Using the definition of the CSFT, derive an expression for F(u,0) in terms of the function p(x).
Q2. Consider the following 2D system with input x(m,n) and output y(m,n)
$ y(m,n) = x(m,n) + \lambda \left( x(m,n) - \frac{1}{9} \sum_{k=-1}^{1}\sum_{l=-1}^{1}x(m-k,n-l) \right) $
a. Is this a linear system? Is it space invariant?
b. What is the 2D impulse response of this system?
c. Calculate its frequency response H($ e^{j\mu},e^{j\nu} $).
d. Describe how the filter behaves when $ \lambda $ is positive and large.
e. Describe how the filter behaves when $ \lambda $ is negative and bigger than -1.
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