Digital Signal Processing Reference
In-Depth Information
c. cascade (series) form via the first-order sections;
d. parallel form via the first-order sections.
6.26. Given the pre-emphasis filters:
HðzÞ¼
1
0
:
5
z
1
HðzÞ¼
1
0
:
7
z
1
HðzÞ¼
1
0
:
9
z
1
a. write the difference equation for each;
b. determine which emphasizes high frequency components most.
6.9.1
MATLAB Problems
6.27. Given a filter
H
z
¼
1
þ
2
z
1
þ z
2
1
0
:
5
z
1
þ
0
:
25
z
2
use MATLAB to plot
a. its magnitude frequency response;
b. its phase response.
6.28. Given a difference equation
yðnÞ¼xðn
1
Þ
0
:
75
yðn
1
Þ
0
:
125
yðn
2
Þ
a. use the MATLAB functions filter() and filtic() to calculate the system response
yðnÞ
for
n ¼
0
;
1
;.;
4 with the input of
xðnÞ¼ð
0
:
5
Þ
n
uðnÞ
and initial conditions
xð
1
Þ¼
1,
yð
2
Þ¼
2, and
yð
1
Þ¼
1;
b. use the MATLAB function filter() to calculate the system response
yðnÞ
for
n ¼
0
;
1
;.;
4 with the input of
xðnÞ¼ð
0
:
5
Þ
n
uðnÞ
and zero initial conditions
xð
1
Þ¼
0,
yð
2
Þ¼
0, and
yð
1
Þ¼
0.
6.29. Given a filter
1
z
1
þ z
2
HðzÞ¼
1
0
:
9
z
1
þ
0
:
81
z
2
a. plot the magnitude frequency response and phase response using MATLAB;
b. specify the type of filtering;
c. find the difference equation;
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