E1C02 09/14/2010
13:35:18 Page 60
–4
t
–10
–5
0
5
10
–3
–2
–1
0
1
2
3
4
y(t)
(a) First partial sum
–4
t
–10
–5
0
5
10
–3
–2
–1
0
1
2
3
4
y(t)
(b) Second partial sum
–4
t
–10
–5
0
5
10
–3
–2
–1
0
1
2
3
4
y(t)
(c) Third partial sum
–4
t
–10
–5
0
5
10
–3
–2
–1
0
1
2
3
4
y(t)
(d) Fourth partial sum
Figure 2.15 First four partial sums of the Fourier series 20=p
ð
Þ sin t þ 1=3 sin 3t þ 1=5 sin 5t þ Á Á Á
ð
Þ
in comparison with the exact waveform.
60 Chapter 2 Static and Dynamic Characteristics of Signals