Journal ArticleDOI
Bandwidth considerations for binary phase-only filters
TLDR
It is demonstrated through analysis and simulation that BPOFs can be designed to perform well with respect to stochastic noise.Abstract:
A binary phase-only filter (BPOF) bandwidth and, correspondingly, the performance with respect to stochastic noise are introduced as filter design parameters. A BPOF figure of merit is defined which references the matched filter. Analytical bounds on the BPOF signal-to-noise ratio are derived. The noise performance is illustrated with simulation results. It is demonstrated through analysis and simulation that BPOFs can be designed to perform well with respect to stochastic noise.read more
Citations
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Journal ArticleDOI
Performance measures for correlation filters.
TL;DR: It is shown that the POF appears to provide a good compromise between noise tolerance and peak sharpness, with the help of a new family of filters called fractional power filters (FPFs).
Journal ArticleDOI
Optimal trade-off filters for noise robustness, sharpness of the correlation peak, and Horner efficiency.
TL;DR: Filters that have optimal trade-offs among the criteria of noise robustness, sharpness of the correlation peak, and Horner efficiency are presented, and an explicit mathematical expression is provided.
Journal ArticleDOI
Fourier optical signal processors
D.L. Flannery,J.L. Horner +1 more
TL;DR: In this article, a review of the progress in Fourier optical processing techniques is presented, with particular emphasis on real-time pattern recognition, which recently has received increased interest as the result of new filter formulations that can be implemented with existing spatial light modulators.
Journal ArticleDOI
Efficient algorithm for designing a ternary valued filter yielding maximum signal to noise ratio.
TL;DR: Numerical evaluations using the image of a tank indicate that using such a filter can provide an improvement in SNR of ~5 dB over the conventional binary phase-only filter (BPOF), superior to the 1-dB improvement obtained for that image by varying the threshold line angle (TLA) in filter binarization.
Journal ArticleDOI
Correlation filters minimizing peak location errors
TL;DR: In this article, a new measure, termed the peak location error (PLE), is introduced to characterize the ability of a correlation filter to locate a target in the input, and it is shown that the filter minimizing the PLE is the classical matched filter.
References
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Journal ArticleDOI
Phase-only matched filtering
TL;DR: This work examines the relationship between phase and amplitude in the case of alphanumeric characters, with and without noise, using a computer simulation and compares the phase-only and amplitude-only filters to the classical matched filter using the criteria of discrimination, correlation peak, and optical efficiency.
Journal ArticleDOI
Optical-Image Correlation With A Binary Spatial Light-Modulator
TL;DR: In this paper, the use of a binary, magneto-optic spatial light modulator as an input device and as a spatial filter in a VanderLugt correlator is investigated.
Journal ArticleDOI
Pattern recognition with binary phase-only filters
Joseph L. Horner,James R. Leger +1 more
Journal ArticleDOI
Phase-only filters with improved signal to noise ratio
TL;DR: The notion of optimal phase-only filters (OPOFs) that yield improved signal to noise ratios (SNRs) with the help of several analytical examples and simulation results are introduced.
Journal ArticleDOI
Two-bit correlation.
TL;DR: This work examines simplified correlation through the use of binary data, which represents the real input u(x) by one amplitude bit per pixel and the correlation filter by one phase bit per Fourier pixel.