文档介绍:ȐІRH ƭ
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f (t) /0ᄣ345Dirichlet 6785Ҕ:Ƒ<̤ܖ?
K/γHIAB786/ @
∞∞
( 17-1)
f (t) = a0 + ∑∑an cos nΩt + bn sin nΩt
n=1 n=1
KƑM *!O/ P .ʓQRS˷/UʓQ.
Ω= an bn
T
T
1 2
a0 = f (t)dt ( 17-2)
∫− T
T 2
T
2 2
an = f (t) cos nΩtdt n = 1, 2, ( 17-3)
∫− T L
T 2
T
2 2
bn = f (t)sin nΩtdt n = 1, 2, ( 17-4)
∫− T L
T 2
K_^
[8WX(17-1)KƑY!OZͪE\/DE
∞
f (t) = A0 + ∑ An cos(nΩt −ϕ n ) ( 17-5)
n=1
`_aᇰKƑQ˫
2 2 bn
A0 = a0 An an += bn ϕ n = arctg
an
d ae/fg
DE.hऋ<jk)*l< .
(17-1) (17-5) A0
y
࡙xhऋt/ n = 1v/(17-5)KƑrsܖƑ
nɢ/҅q֧
!O)*/E࡚}~jk)*
k)*dN*z n = 2 v/࡙x.
qN*
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K/γK(17-1)((17-5)dHI
∞
K jnΩt
f (t) = ∑ F&n e
n=−∞
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