To receive full credit, you must turn in all your MATLAB codes and results along with...

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To receive full credit, you must turn in all your MATLAB codes and results along with your handwritten parts. Design a third-order Butterworth high-pass filter with a cutoff frequency of 50 Hz and a passband gain of 10 dB using butter. Express the filter as a transfer function H(s) in zero- pole-gain form using tf and zpk. Your answer need not include the Butterworth circuit. Draw the Bode plot of H(s) using figure and bodeplot and change the frequency unit to Hz using setoptions. Verify that H(s) is indeed a high-pass filter with the required cutoff frequency and passband gain. To receive full credit, you must turn in all your MATLAB codes and results along with your handwritten parts. Design a third-order Butterworth high-pass filter with a cutoff frequency of 50 Hz and a passband gain of 10 dB using butter. Express the filter as a transfer function H(s) in zero- pole-gain form using tf and zpk. Your answer need not include the Butterworth circuit. Draw the Bode plot of H(s) using figure and bodeplot and change the frequency unit to Hz using setoptions. Verify that H(s) is indeed a high-pass filter with the required cutoff frequency and passband gain.

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