Abstract

Theoretical studies of the performance capabilities of binary phase-only filters (BPOFs), constructed using both Fourier and Hartley transforms, are presented. A thorough analysis of the Fourier BPOF is given. We show that, although BPOFs constructed using Fourier transforms perform well in optical correlator systems, they are also subject to additional noise sources and have the possibility of generating large false correlation signals. We then present an analysis of BPOFs constructed using the Hartley transform. We show that BPOFs made using the Hartley transform provide superior false correlation rejection and more uniformly sized correlation signals for heavily multiplexed BPOFs, compared with those made using the Fourier transform. We also present a technique for constructing Hartley BPOFs. Therefore, although it is well known that the quality of the correlation signal depends on the object, this work demonstrates that the quality of the correlation signal can also depend on the technique used in the synthesis of the BPOF.

© 1987 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)

Phase-encoded binary filters for optical pattern recognition

Jeffrey A. Davis, Don M. Cottrell, Glenn W. Bach, and Roger A. Lilly
Appl. Opt. 28(2) 258-261 (1989)

Discrete Fourier preprocessing transforms for the binary phase-only filter

Neng-Chung Hu and Chia-Hsien Su
Appl. Opt. 34(8) 1372-1378 (1995)

Reduction of false correlations with binary phase-only filters

Thomas H. Barnes, Kiyofumi Matsuda, and Naotake Ooyama
Appl. Opt. 27(18) 3785-3790 (1988)

Multiplexing capabilities of the binary phase-only filter

Don M. Cottrell, Jeffrey A. Davis, Marius P. Schamschula, and Roger A. Lilly
Appl. Opt. 26(5) 934-937 (1987)