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28 August 1995 Fast algorithm for calculating optical binary amplitude filters
Jerome Knopp, Mustafa M. Matalgah
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Proceedings Volume 2565, Optical Implementation of Information Processing; (1995) https://doi.org/10.1117/12.217648
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States
Abstract
A new geometric viewpoint is presented for optimizing a binary amplitude filter based on finding an ordered set of phasors, the uncoiled phasor set (UPS), from the filter object's discrete Fourier transform that determines a convex polygon. The maximum distance across the polygon determines the value of the correlation peak and the set of frequencies that the optimal filter should pass. Algorithms are presented for finding the UPS and the maximum distance across the polygon that are competititve with optimization approaches that use the binning (Farn and Goodman). The new viewpoint provides a simple way to establish a bound on binning error.
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Jerome Knopp and Mustafa M. Matalgah "Fast algorithm for calculating optical binary amplitude filters", Proc. SPIE 2565, Optical Implementation of Information Processing, (28 August 1995); https://doi.org/10.1117/12.217648
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KEYWORDS
Optimal filtering
Optical filters
Electronic filtering
Error analysis
Algorithm development
Binary data
Chemical elements
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