**Homework Assignment 9 **

Due Nov. 1, 1999

- Problem 7.28.
- Problem 7.31.
- A discrete-time low-pass filter is required to meet the following
specifications:

Passband edge: 4 kHz

Stopband edge: 10 kHz

Passband ripple: 1 dB

Stopband attenuation: 40 dB

Sampling frequency: 48 kHz- Find the specifications for an continuous time low-pass filter which can be used as a prototype for the digital filter.
- Design the continuous-time prototype. I.e., find the transfer function
for the continuous-time filter. Plot the pole-zero diagram and gain of the
continuous-time filter. (Use the MATLAB function
`freqs`to find the gain.) - Use the bilinear transformation to get the discrete-time filter. Write down the transfer function. Plot the pole-zero diagram and gain of the discrete-time filter.

*Bill Rison, <rison@ee.nmt.edu >*