Rich Kozick
Spring, 1997
EE 329: Homework 6
Date Assigned: Wednesday, March 5, 1997
Date Due: Friday, March 7, 1997
Please submit solutions to the following on Friday, March 7.

Please begin reading Chapter 4 in the text.

Please find the Z transform and the region of convergence for the
following sequences. Use the definition of the Z transform (not the
table). Also sketch each time sequence.
 x(n) = 0 for n < 0 and (0.5)^n for n >= 0.
 y(n) = (0.5)^n for n < 0 and 0 for n >= 0.

Please explain (prove) why having all transfer function poles
inside the unit circle is sufficient to guarantee that a
linear, timeinvariant system is BIBO stable.

Please run the
freqtune.m program, and verify that the fundamental
frequency of the pluckedstring simulator agrees with the
analytical formula.

Try running the Matlab command freqz
to plot the frequency response of the other digital filters
that we discussed in class
(MA, AR, notch, etc.).

Continue working on a realtime implementation of the pluckedstring
filter before lab on Friday. Please have a Simulink version of
the filter implemented by Friday.
Thank you.