ECE 178 WINTER 2004
DUE: January 30, 2004
* You do not need to submit solutions for problems marked with *. Clearly state any assumptions you make in solving the problems.
1. Test if the following systems are (a) Linear and (b) Shift-Invariant.
(a)
(b) 
(c) 
(d) 
(e) 
2. Sketch the impulse function 
.
3. The image 
is to be sampled such
that one can reconstruct the signal from its samples without any errors. Suggest
a sampling scheme. How do you propose to reconstruct from the samples? Is your
sampling scheme optimal (in the sense that it requires fewest number of samples
to reconstruct the signal error free)?
*4. Design a four level minimum mean squared error quantizer for u where the signal has the following pdf. What is the quantization error?
