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4. The following problems can be completely solved using The Filter Design and Analysis Tool (fdatool) in MATLAB. To invoke the filter design GUI, type

4. The following problems can be completely solved using The Filter Design and Analysis Tool (fdatool) in MATLAB. To invoke the filter design GUI, type fdatool in MATLAB. Use MATLAB help or use the fdatool document distributed in class to learn how to use the fdatool. a. Design a low pass IIR Butterworth filter to meet the following specifications i. Passband attenuation (Apass) = 2 dB ii. Stopband attenuation (Astop) = 60 dB iii. Passband edge (fpass) = 0.3 rad/s iv. Stopband edge (fstop) = 0.4 rad/s Answer the following questions about the filter: What is the order of the filter? What are the filter coefficients? Plot the magnitude response and the phase response for this filter. Also, show the pole-zero plot for the filter and the filter block implementation. 10 Marks b. Design a type 2 Chebyshev filter for the specification in (a). What is the order of the filter? What are the filter coefficients? Plot the magnitude response and the phase response for this filter. Show the pole-zero plot for the filter and the filter block implementation.. Compare the results to part (a). 10 Marks

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