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The 4F correlator is based on the convolution theorem from Fourier transform theory, which states that convolution in the spatial ('x','y') domain is equivalent to direct multiplication in the spatial frequency ('k'x, 'k'y) domain.

When this uniform, collimated field is multiplied by the FT plane mask, and then Fourier transformed by the second lens, the output plane field (which in this case is the 'impulse response' of the correlator) is just our correlating function, 'g'('x','y').

This enables some applications like a device that compares images in an optical way.R. Ryf et al. High-frame-rate joint Fourier-transform correlator based on Sn2P2S6 crystal, Optics Letters '26', 1666-1668 (2001)

The array also had a new correlator and new, cooled receivers, and some of the microwave links between the telescopes were improved so that the array could observe both hands of polarization.

In the 4F correlator, the system transfer function 'H'('k'x,'k'y) is directly multiplied against the spectrum 'F'('k'x,'k'y) of the input function, to produce the spectrum of the output function.

"The 4F correlator is an excellent device for illustrating the ""systems"" aspects of optical instruments, alluded to in 'section 4' above."


cosponsored in a sentence .. corseting in a sentence .. C




The word correlator


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