Homework 4
Reading
 Chapter 7 in Oppenheim & Wilsky
Problems
 If a continuoustime cosinusoidal signal with frequency rads/sec is samples at 3000 Hertz, what is the frequency of the resulting discretetime cosinusoid?
 7.31
 7.34 Besides specifying the L and M values draw sketches to show how the original spectra changes after each step in the upsamplingdownsampling process. Assume that the original signal spectrum has a triangular shape.
 7.35 ( Downsampling by a factor of 2 )

(
Upsampling by a factor of 2
) Consider the discretetime sequence
from which we form two new sequences
and
.
The sequence
corresponds to
with one zero sampled inserted between each sample of
.
The sequence
is a lowpass filtered version of
using an ideal lowpass filter with a cutoff frequency of
.
 If is the sequence illustrated below, then sketch and .
 If is as shown below, sketch and .
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