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.
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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, time-invariant system is BIBO stable.
-
Please run the
freqtune.m program, and verify that the fundamental
frequency of the plucked-string 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 real-time implementation of the plucked-string
filter before lab on Friday. Please have a Simulink version of
the filter implemented by Friday.
Thank you.