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22 August 1988 Analysis Of Binarized Hartley Phase-Only Filter Performance With Respect To Stochastic Noise
Fred M. Dickey, J. Jeff Mason, K. Terry Stalker
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Proceedings Volume 0938, Digital and Optical Shape Representation and Pattern Recognition; (1988) https://doi.org/10.1117/12.976602
Event: 1988 Technical Symposium on Optics, Electro-Optics, and Sensors, 1988, Orlando, FL, United States
Abstract
Binary phase-only filters (BPOF) are a viable candidate for the replacement of matched filters in real-time image processing and pattern recognition applications. The original BPOFs were binarized versions of the real or imaginary parts of the Fourier transform. Recently, a filter has been proposed which is the binarized Hartley transform. In this paper, the noise performance of the binarized Hartley phase-only filter is analyzed and compared to other BPOFs as well as the phase-only and matched filter. It is well known that the matched filter optimizes signal-to-noise ratio. Further, it can be shown that the matched filter phase is the optimum phase-only filter. A bound on the BPOF signal-to-noise ratio relative to that of the phase-only filter is derived. Finally, the analysis is applied to the generalized form of the binarized Hartley transform.
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Fred M. Dickey, J. Jeff Mason, and K. Terry Stalker "Analysis Of Binarized Hartley Phase-Only Filter Performance With Respect To Stochastic Noise", Proc. SPIE 0938, Digital and Optical Shape Representation and Pattern Recognition, (22 August 1988); https://doi.org/10.1117/12.976602
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KEYWORDS
Signal to noise ratio
Phase only filters
Fourier transforms
Optical pattern recognition
Electronic filtering
Image filtering
Stochastic processes
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