Fourier and Laplace
379
0.8
0.6
0.4
0.2
0
−0.2
−0.4
−0.6
−0.8
0
0.5
1
1.5
2
2.5
3
3.5
4
time (sec)
fundamental frequency
harmonic frequencies
Amplitude
Harmonic components of the square wave
FIGURE 4.29
(See color insert following page 374.) Plots of part b of Example 4.1.
fundamental frequency (square)
1
0.5
0
−1
−0.5
0
1
2
4
3
fund. + 3rd. + 5th. harmonic
1
0.5
−0.5
−1
0
Amplitude
Amplitude
0
1
2
3
4
time (in sec)
fund. + 3rd. harmonic
1
0.5
−0.5
−1
0
0
Amplitude
Amplitude
1
1
2
3
4
time (in sec)
time (in sec)
fund. + 3rd. + 5th. + 7th. harmonic
0.5
−0.5
−1
0
0
1
2
3
4
time (in sec)
FIGURE 4.30
Plots of part c of Example 4.1.
CRC_47760_CH004.indd 379
CRC_47760_CH004.indd 379
7/28/2008 12:26:07 PM
7/28/2008 12:26:07 PM