Design a Finite-Impulse-Response (FIR) LOW PASS filter of order N = 8, with a cutoff frequency of 5 KHz and unity gain (K = 1 v/v) in its pass band. Assume that this filter will operate on samples collected at a sampling rate of Fs = 40 KHz. List all the numerical values for the coefficients of the filter designed, Write the difference equation for the filter, with the numerical values for the coefficients that you found through your design process, and Sketch (as a "stem" plot) the impulse response (assuming null initial conditions) of your designed filter, for n = 0 to 13, labeling the amplitude of all the components in that impulse response. Design a Finite-Impulse-Response (FIR) LOW PASS filter of order N = 8, with a cutoff frequency of 5 KHz and unity gain (K = 1 v/v) in its pass band. Assume that this filter will operate on samples collected at a sampling rate of Fs = 40 KHz. List all the numerical values for the coefficients of the filter designed, Write the difference equation for the filter, with the numerical values for the coefficients that you found through your design process, and Sketch (as a "stem" plot) the impulse response (assuming null initial conditions) of your designed filter, for n = 0 to 13, labeling the amplitude of all the components in that impulse response