Digital Signal Processing Reference
In-Depth Information
7.3. Design a 5-tap FIR lowpass filter with a cutoff frequency of 100 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
U ¼
0
; p=
4
; p=
2
;
3
p=
4
;
and
p
radians.
7.4. 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
U ¼
0
; p=
4
; p=
2
;
3
p=
4
;
and
p
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
U ¼
0
; p=
4
; p=
2
;
3
p=
4
;
and
p
radians.
7.6. Design a 5-tap FIR band reject filter with a lower cutoff frequency of 1,600 Hz, an upper
cutoff 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
U ¼
0
; p=
4
; p=
2
;
3
p=
4
;
and
p
radians.
7.7. Consider an FIR lowpass filter design with the following specifications:
Passband
¼
0
e
800 Hz
Stopband
¼
1,200
e
4,000 Hz
Passband ripple
¼
0.1 dB
Stopband attenuation
¼
40 dB
Sampling rate
¼
8,000 Hz
Determine the following:
a. window method
b. length of the FIR filter
c. cutoff frequency for the design equation
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