Approximations of the sawtooth wave by sum of harmonics
0.6
0.4
0.2
−0.2
−0.4
−0.6
−0.8
0
Amplitude
0
0.5
1
1.5
2
2.5
3
3.5
4
time (in sec)
COLOR FIGURE 4.36
Plots of part d of Example 4.2.
Harmonic frequencies of f(t)
first
second
third
fourth
fifth
0.8
0.6
0.2
−0.2
−0.4
−0.6
−0.8
0
0.4
Amplitude
−2
−1.5
−1
−0.5
0
0.5
1
1.5
2
time (in sec)
COLOR FIGURE 4.41
Plots of part b of Example 4.4.
CRC_47760_COLPLA.indd 6
CRC_47760_COLPLA.indd 6
7/18/2008 5:34:24 PM
7/18/2008 5:34:24 PM
0.6
0.4
0.2
−0.2
−0.4
−0.6
−0.8
0
Amplitude
0
0.5
1
1.5
2
2.5
3
3.5
4
time (in sec)
COLOR FIGURE 4.36
Plots of part d of Example 4.2.
Harmonic frequencies of f(t)
first
second
third
fourth
fifth
0.8
0.6
0.2
−0.2
−0.4
−0.6
−0.8
0
0.4
Amplitude
−2
−1.5
−1
−0.5
0
0.5
1
1.5
2
time (in sec)
COLOR FIGURE 4.41
Plots of part b of Example 4.4.
CRC_47760_COLPLA.indd 6
CRC_47760_COLPLA.indd 6
7/18/2008 5:34:24 PM
7/18/2008 5:34:24 PM