Week 7 Assignment : FIR Filter Design

Week 7 Assignment

Assignment 6: FIR Filter Design

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

All questions carry equal points

1. Find the impulse response of the digital notch filter specified by . Note that the frequency response of the digital filter is periodic with period 2π.

2. Find the smallest length of the lowpass FIR filter corresponding to the specifications , , and .

3. Design a bandpass FIR filter with the smallest length using the method based on fixed window to meet the following specifications: , , and .

4. Design a lowpass FIR filter with a passband edge at 0.3π, stopband edge at 0.5π and minimum stopband attenuation of 40 dB using Kaiser window. It is enough you show the ideal filter impulse response, the filter order and the corresponding parameters of the Kaiser window.

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