7.2. Design a 3-tap FIR highpass filter with a cutoff frequency of 1,600 Hz and a sampling rate of 8,000 Hz using a a. rectangular window function b. Hamming window function Determine the transfer function and difference equation of the designed FIR system, and compute and plot the magnitude frequency response for 220, w/4, x/2, 3/4, and radians. 7.5. Design a 5-tap FIR bandpass filter with a lower cutoff frequency of 1,600 Hz, an upper cut-off frequency of 1,800 Hz and a sampling rate of 8,000 Hz using a a. rectangular window function b. Hamming window function Determine the transfer function and difference equation of the designed FIR system, and compute and plot the magnitude frequency response for = 0, π/4,/2, 3/4, and radians. 7.9. Consider an FIR bandpass filter design with the following specifications: Lower cutoff frequency = 1,500 Hz Lower transition width = 600 Hz Upper cutoff frequency = 2,300 Hz Upper transition width = 600 Hz Passband ripple 0.1 dB Stopband attenuation = 50 dB Sampling rate: 8,000 Hz Determine the following: a. window method b. length of the FIR filter c. cutoff frequencies for the design equation 7.11. Given an FIR system H(z) = 0.25 -0.5z-1 +0.25z -2 realize H(z) using each of the following specified methods: a. transversal form (write the difference equation for implementation) b. linear phase form (write the difference equation for implementation) 7.13. Determine the transfer function for a 3-tap FIR lowpass filter with a cutoff frequency of 150 Hz and a sampling rate of 1,000 Hz using the frequency sampling method. 7.18. Given the following specifications, determine the transfer function: ⚫7-tap FIR bandstop filter ⚫lower cutoff frequency of 1,500 Hz and upper cutoff frequency of 3,000 Hz sampling rate of 8,000 Hz ⚫ frequency sampling design method