Digital Signal Processing Reference
In-Depth Information
ft
()
0
1.0
t
(sec.)
FIGURE 13.54
A trapezoidal function in Problem 13.14.
13.16.
Sketch the Haar mother wavelet families for three different scales,
j ¼
0
;
1
;
2 for a period
of 2 seconds.
13.17. Use the Haar wavelet family to expand the signal depicted in
Figure 13.55.
a. Use only scaling functions
fð
2
t kÞ
.
b. Use scaling functions and wavelets
fðtÞ
and
jðt kÞ
13.18. Use the Haar wavelet family to expand the signal depicted in
Figure 13.56
.
a. Use only scaling functions
fð
4
t kÞ
.
5
4
3
2
1
0
-1
-2
-3
-4
-5
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Time (sec.)
FIGURE 13.55
A gate function in Problem 13.17.
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