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# Homework 4

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• Chapter 7 in Oppenheim & Wilsky

## Problems

• If a continuous-time co-sinusoidal signal with frequency rads/sec is samples at 3000 Hertz, what is the frequency of the resulting discrete-time co-sinusoid?
• 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 upsampling-downsampling 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 discrete-time 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 low-pass filtered version of using an ideal low-pass filter with a cutoff frequency of .
1. If is the sequence illustrated below, then sketch and .
2. If is as shown below, sketch and .

Copyright 2008, by the Contributing Authors. Cite/attribute Resource . admin. (2006, June 29). Homework 4. Retrieved January 07, 2011, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/Electrical_and_Computer_Engineering/Communication_Systems_I_1/hw4.html. This work is licensed under a Creative Commons License