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The panchromatic principle in optical filtering

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The panchromatic optical correlator is a coherent correlator which uses a slightly broadened light spectrum to correlate simultaneously a number of receiver channels against a continuous range of Doppler distortions of the transmitted signal. The relation between spatial frequencyomega_{x}and aperture distancexin a coherent optical correlator isomega_{x} = - 2 pi x/ lambda f, whereinlambdais the light wavelength andfis the lens focal length. Since signals reflected from a target moving with uniform radial velocity undergo a scale factor adjustment of the signal spectrum, the Doppler distortions resulting from target motion can be simulated by a range oflambda. The panchromatic correlator is actually a superposition of many monochromatic correlators with eachlambdacorresponding to a particular Doppler distortion. The correlator output can be color separated by a prism to resolve Doppler information, or left unresolved to provide a Doppler invariant correlation regardless of the invariance properties of the chosen signal. Inserting a diffraction grating in the proper aperture changes the relation above toomega_{x} = -2 pi x/ lambda f - omega_{h}, whereomega_{h}is a frequency shift. This form permits correlation against a Doppler-distorted signal, heterodyned an amountomega_{h}to use the time-bandwidth product of the correlator more efficiently.

Published in:

Information Theory, IEEE Transactions on  (Volume:10 ,  Issue: 3 )

Date of Publication:

Jul 1964

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