§ 14-3 Waveform symmetry
1.A function f (t) is said to be even if f (t)=f (-t).
2 A function f (t) is said to be odd if f(t) = -f(-t).
They are symmetrical with respect to the vertical axis.(bn=0)
They are symmetrical with respect to the origin,(an=0)
3 A periodic function f (t) is said to be half-wave
symmetry if f(t)= -f(t+T/2).
n=2,4,6…,
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0
0
n
n
b
a 0?na
n=1,3,5...
1.A function f (t) is said to be even if f (t)=f (-t).
2 A function f (t) is said to be odd if f(t) = -f(-t).
They are symmetrical with respect to the vertical axis.(bn=0)
They are symmetrical with respect to the origin,(an=0)
3 A periodic function f (t) is said to be half-wave
symmetry if f(t)= -f(t+T/2).
n=2,4,6…,
?
?
?
?
?
0
0
n
n
b
a 0?na
n=1,3,5...