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 −^10123
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.