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.

  1. Please begin reading Chapter 4 in the text.

  2. 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.

  3. 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.

  4. Please run the freqtune.m program, and verify that the fundamental frequency of the plucked-string simulator agrees with the analytical formula.

  5. 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.).

  6. 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.