EE 451
Homework Assignment 5
Due Oct. 4, 1996
 Problem 4.20 from Orfanidis. In addition, write the state space matrices
for the transposed system.
 A discretetime system has the impulse response
/
 3 n = 0

y(n) =  2 n = 1

 cos(pi n/4) n >= 2
\
 Find the difference equation which describes the system
which generates this response.
 Use MATLAB to verify your result. I.e., use MATLAB to generate y(n) for
n = 0:9, and use the MATLAB dimpulse function to generate the
impulse response from the difference equation. Show that they are the same.
 Consider the following difference equation:
y(n) + 0.2 y(n1)  0.48 y(n2) = x(n)  2 x(n1) + 2 x(n2)
 Find the step response of the difference equation.
 Use the MATLAB dstep function to verify your result.
 Problem 5.2 from Orfanidis.
 Problem 5.3 (a) and (b) from Orfanidis.
 Problem 5.4 from Orfanidis.
Bill Rison,
<rison@ee.nmt.edu >