Digital Signal Processing Reference
In-Depth Information
|
H
(
j
w
)
|
1.00
0.93
0.004
300
800
w
Figure 4.35
Problem 4.20.
H
(e
j
w
T
)
|
|
1.00
0.93
0.004
0.4
p
0.5
p
0.7
p
p
(
w
T)
Figure 4.36
Problem 4.21.
4.24
A Butterworth highpass digital filter has a passband cutoff frequency of
1500 Hz, a stopband cutoff frequency of 650 Hz, a passband attenuation
of 2.0 dB, and a stopband attenuation of 45 dB. The sampling period
is 0
.
2
×
10
−
3
s. Find the transfer function
H(p)
of the lowpass analog
prototype filter.
4.25
Design a bandpass Chebyshev I IIR filter that approximates the specifica-
tions as shown in Figure 4.37. Show all calculations step by step, assuming
a sampling frequency
f
s
1000 Hz. Plot the magnitude using MATLAB.
4.26
Obtain the transfer function of the Butterworth lowpass IIR filter with
ω
p
=
=
0
.
4
π, ω
s
=
20. Using the digital spectral transforma-
tion LP-HP, find the transfer function of the highpass filter with a cutoff
frequency of 0
.
75
π
.
=
0
.
9
π, R
p
=
0
.
5
,R
s
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