Fourier and Laplace
399
26 term approximation
1
0.5
0.5
−3
−3
−2
−2
−1
−1
0
0
1
1
0
0
Amplitude
Amplitude
Amplitude
2
2
3
3
−3
−2
−1
0
1
2
3
11 term approximation
4 term approximation
time (in sec)
1
0.5
0
1
FIGURE 4.47
Approximation plots of f(t) of Example 4.7.
Four term approximation over one cycle
Four term hamm. window approximation over one cycle
1
0.8
0.4
0.6
0.2
0
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2
Amplitude
Amplitude
1
0.8
0.6
0.4
0.2
0
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2
time (in sec)
FIGURE 4.48
Approximation plots of f(t) using four terms of Example 4.7.
CRC_47760_CH004.indd 399
CRC_47760_CH004.indd 399
7/28/2008 12:26:12 PM
7/28/2008 12:26:12 PM