分布的傅立叶变换


Answers:


24

假设傅立叶变换的是,其中 其中。逆变换为 X ˚F X ˚F = ∫ - X EXP - 2 π ˚F d= XŤXF

XF=-XŤ经验值-一世2πFŤdŤ
X=∫ - X˚FEXP2π˚Fd˚F一世=-1个
XŤ=-XF经验值一世2πFŤdF

傅立叶变换的一些属性如下:

  • 傅立叶变换的X - ˚F XŤX-F

  • 如果是实值偶函数,则X ˚F 是实值偶函数˚FXŤŤXFF

XŤŤXŤXF

XŤXŤ0ŤX0=1个XFXF0F

X0=1个=-XFdF
XFF1个XFX0=1个
X1个Ť=经验值-πŤ2  X1个F=经验值-πF2
X2Ť=1个-|Ť|1个[-1个1个]  X2F=辛克2F={πFπF2F01个F=0。

1个2X2Ť+1个2X2Ť1个2X2F+1个2X2F

XŤXF1个2XŤ+1个2XŤ

X1个Ť1个2X2Ť+1个2X2Ť

αX1个Ť+1个-α[1个2X2Ť+1个2X2Ť]
α[01个]

7
XF-XFdF<XF
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