Homework 9, ECE438, Fall 2014, Prof. Boutin

Hard copy due in class, Monday November 17, 2014.

Presentation Guidelines

  • Write only on one side of the paper.
  • Use a "clean" sheet of paper (e.g., not torn out of a spiral book).
  • Staple the pages together.
  • Include a cover page.
  • Do not let your dog play with your homework.


Obtain the transfer function of a system that attenuates the sound of vuvuzelas in the digital recording of a soccer match commentary. (Obtain your own system, not that of your friend.)

a) Write the expression for the transfer function of your system. (Do not forget to specify the ROC.)

b) Is the frequency response of your system well defined? If so, what is it? If not, explain why it is not well defined.

c) Obtain the difference equation describing the relationship between the output of the system y[n] and the input of the system x[n]. (Show how to obtain this relationship from the transfer function of the system.)


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