Week 6 Assignment : IIR Filter Design

Week 6 assignment

Assignment 5: IIR Filter Design

Note: You may use Matlab to solve the problems where necessary

All questions carry equal points

1. Determine the peak ripple values and for the peak passband ripple of 0.14 dB and minimum stopband attenuation of 68 dB.

2. Corresponding to and , find the peak passband ripple and minimum stopband attenuation in dB.

3. Using the bilinear transformation, find the digital filter transfer function corresponding to the transfer function of the analog filter . Use T = 0.25 sec.

4. Design a Butterworth lowpass IIR digital filter of order N = 3 to have a cutoff frequency of 0.3π.

5. Starting with the lowpass digital filter obtained in the previous problem as the prototype, design a bandstop digital filter with band edge frequencies 0.4π and 0.7π using the spectral transformation in the z-domain. It is enough to express the transfer function in product form and there is no need to simplify if it is tedious.

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