EE 451
Homework Assignment 3
Due Sep. 15, 1999
 Look at Lab 3
 Find the impulse response h[n] for the difference equation.
 Find the frequency response H(e^{jw}).
 Use MATLAB to plot the magnitude and phase of the frequency response.
 Problem 2.44, parts (a)  (d). This should be easy using the symmetry
properties of the Fourier transform. If you are doing a lot of math, you are
approaching the problem in the wrong way. Hint: Look for symmetry and time
shifts in x[n].


Find the impulse response for a system which has the following
frequency response:

/ 0 w < pi/4
H = 
\ 1 pi/4 < w < pi

 Use MATLAB to plot h[n] for n = 20 to 20.


Determine the Fourier transform of

/ 1 N <= n <= N
h[n] = 
\ 0 otherwise

 Use MATLAB to plot the frequency response of h[n] for N = 10. You should
be able to get this into a nice closed form.
 Problem 2.52. Again, this is very easy using properties of the
Fourier transform, and should involve very little math.
 Problem 2.53
Bill Rison,
<rison@ee.nmt.edu >