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please show all work! thank you! EGR 484 Digital Signal Processing Homework 11 Name: Q1. a. Calculate the filter coefficients for a 7-tap FIR bandpass

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EGR 484 Digital Signal Processing Homework 11 Name: Q1. a. Calculate the filter coefficients for a 7-tap FIR bandpass filter with a lower cutoff frequency of 2000 Hz and an upper cutoff frequency of 4000 at a sampling rate of 8000 Hz. b. Determine the transfer function and plot the frequency responses with MATLAB. Q2. a. Calculate the filter coefficients for a 5-tap FIR High pass filter with a cutoff frequency of 1000 Hz and a sampling rate of 8000 Hz using the Fourier Transform method. b. Determine the transfer function and difference equation of the designed FIR system.

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