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Proceedings Paper

Analysis Of Binarized Hartley Phase-Only Filter Performance With Respect To Stochastic Noise
Author(s): Fred M. Dickey; J. Jeff Mason; K. Terry Stalker
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Paper 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.

Paper Details

Date Published: 22 August 1988
PDF: 16 pages
Proc. SPIE 0938, Digital and Optical Shape Representation and Pattern Recognition, (22 August 1988); doi: 10.1117/12.976602
Show Author Affiliations
Fred M. Dickey, Sandia National Laboratories (United States)
J. Jeff Mason, Sandia National Laboratories (United States)
K. Terry Stalker, Sandia National Laboratories (United States)

Published in SPIE Proceedings Vol. 0938:
Digital and Optical Shape Representation and Pattern Recognition
Richard D. Juday, Editor(s)

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