1 January 1989 Analysis Of Binarized Hartley Phase-Only-Filter Performance With Respect To Stochastic Noise
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Optical Engineering, 28(1), 280108 (1989). doi:10.1117/12.7976893
Binary phase-only filters (BPOFs) 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 that is the binarized Hartley transform. In this paper, the noise performance of the binarized Hartley phase-only filter is analyzed and compared with other BPOFs as well as with the phase-only and matched filters. It is well known that the matched filter optimizes the 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.
Fred M. Dickey, J. Jeff Mason, K. Terry Stalker, "Analysis Of Binarized Hartley Phase-Only-Filter Performance With Respect To Stochastic Noise," Optical Engineering 28(1), 280108 (1 January 1989). http://dx.doi.org/10.1117/12.7976893

Phase only filters

Signal to noise ratio

Stochastic processes

Image filtering

Electronic filtering

Fourier transforms

Pattern recognition


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