Digital Signal Processing
2. Design a 3-tap FIR highpass filter with a cutoff frequency of 1,600Hz 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 Î© =0, Ï€/4,Ï€/2,3Ï€/4 and Ï€ radians.

4.
Design a 5-tap FIR highpass filter with a cutoff frequency of 250 Hz and a sampling rate of 1,000 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 Î© =0, Ï€/4,Ï€/2,3Ï€/4 and Ï€ radians.

8.
Consider an FIR highpass filter design with the following specifications:
Passband =0-1,500 Hz
Stopband = 2,000-4,000 Hz
Passband ripple = 0.02 dB
Stopband attenuation = 60 dB
Sampling rate = 8,000 Hz
Determine the following:
a. window method
b. length of the FIR filter
c. cutoff frequency for the design equation

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

10.
Consider an FIR bandstop filter design with the following specifications:
Lower passband = 0-1,200 Hz
Stopband = 1,600 - 2,000 Hz
Upper passband = 2,400 - 4,000 Hz
Passband ripple = 0.05 dB
Stopband attenuation = 60 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

29.
Design a 41tap bandpass FIR filter with lower and upper cutoff frequencies of 2,500Hz and 3,000 Hz, respectively, using the following window functions. Assume a sampling frequency of 8,000 Hz.
a. Hanning window function
b. Blackman window function.
List the FIR filter coefficients and plot the frequency responses for each design.

30.
Design a 41-tap band reject FIR filter with cutoff frequencies of 2,500 Hz and 3,000 Hz, respectively, using the Hamming window function. Assume a sampling frequency of 8,000 Hz. List the FIR filter coefficients and plot the frequency responses.

Digital Signal Processing 2. Design a 3-tap FIR highpass filter wi...