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.

© 1988 Optical Society of America

Design elements of binary phase-only correlation filters

David L. Flannery, John S. Loomis, and Mary E. Milkovich
Appl. Opt. 27(20) 4231-4235 (1988)

Optimal binary phase-only matched filters

Michael W. Farn and Joseph W. Goodman
Appl. Opt. 27(21) 4431-4437 (1988)

Mapping considerations for optimal binary correlation filters

John D. Downie and Max B. Reid
Appl. Opt. 29(35) 5235-5241 (1990)

Limitations of a class of binary phase-only filters

Donald C. Wunsch, Robert J. Marks, Thomas P. Caudell, and C. David Capps
Appl. Opt. 31(26) 5681-5687 (1992)

Optical binary phase-only filters for circular harmonic correlations

Luc Leclerc, Yunlong Sheng, and Henry H. Arsenault
Appl. Opt. 30(32) 4643-4649 (1991)