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2. An FIR system is described by the following Difference equation y n)-0.5 (x(n) - x(n-2)) a. Find the frequency response of this filter and sketch its magnitude and phase. Verify b. Find the response of the system to x(n) 5+cos(nT/2+T/3)+4sin(nt+T/4) and c. What is the ratio of the total average power at output to input? via Matlab. sketch the output sequence. Again verify via Matlab

Please Show All the Steps Carefully. Please include both Written and Matlab approach. Written meaning Approaching the problem by hand and not using Matlab at all. Highest rating will be given to those who show all the Written and Mattab steps carefully. Do not skip the Written Method at all! Show All Your Work, Please!

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