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Homework 6, ECE438, Fall 2010, Prof. Boutin

Due in class, Friday October 15, 2010.

The discussion page for this homework is here. Feel free to share your answers/thoughts/questions on that page.


Question 1

Consider the signal

x[n] = sin(ω1n) + ksin(ω2n),

where k is a real valued constant.

a) Write a program that will

  1. Plot x[n].
  2. Compute the N point DFT X[k]. (Yes, you may use FFT routines.)
  3. Plot the magnitude of X[k].

Turn in a print out of your code.

b) Run your program and generate outputs for the cases shown below.

Case N ω1 k ω2




Question 2


Question 3


Back to ECE438, Fall 2010, Prof. Boutin

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