please show all work! thank you! EGR 484 Digital Signal Processing Homework 11 Name: Q1. a. Calculate

please show all work! thank you!

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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. 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.