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optical correlator : ウィキペディア英語版
optical correlator

An optical correlator is a device for comparing two signals by utilising the Fourier transforming properties of a lens.〔A. VanderLugt, ''(Signal detection by complex spatial filtering ),'' IEEE Transactions on Information Theory, vol. 10, 1964, pp. 139-145.〕 It is commonly used in optics for target tracking and identification.
==Introduction==

The correlator has an input signal which is multiplied by some filter in the Fourier domain. An example filter is the matched filter which uses the cross correlation of the two signals.
The cross correlation or correlation plane, c(x,y) of a 2D signal i(x,y) with h(x,y) is
c(x,y)=i(x,y) \otimes h^(-x,-y)
This can be re-expressed in Fourier space as
C(\xi,\eta)=I(\xi,\eta) H^(-\xi,-\eta)
where the capital letters denote the Fourier transform of what the lower case letter denotes. So the correlation can then be calculated by inverse Fourier transforming the result.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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