Homework Assignment 9
Due Nov. 1, 1999

1. Problem 7.28.

2. Problem 7.31.

3. 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
   1. Find the specifications for an continuous time low-pass filter which can be used as a prototype for the digital filter.
   2. 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.)
   3. 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.
   
   

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