Abstract

The feasibility of using certain types of binary phase-only filter (BPOF) is investigated. A critical aspect of correlation filters is not often addressed in research on BPOF’s: how well do they perform as classifiers in the presence of imperfectly matching templates? It is not enough to detect a single given signal in the presence of noise; it is equally critical to make the correct classification among a number of possible templates with a low false-alarm rate. We show that (+1, −1)-valued BPOF’s based on the real part of a conventional matched filter can cause misclassification of simple patterns, even in the absence of noise. These are known to be suboptimal, but the seriousness of their limitations illustrates an important design issue. It is therefore concluded that other types of filters must be used for correlator-based neural network implementations and image processing in general. We also include a commentary on the potential for facing this type of problem with general POF’s and BPOF’s. The theoretical results are supported by computer simulation and optical experiments.

© 1992 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Bandwidth considerations for binary phase-only filters

Fred M. Dickey, K. Terry Stalker, and J. Jeff Mason
Appl. Opt. 27(18) 3811-3818 (1988)

Tutorial survey of composite filter designs for optical correlators

B. V. K. Vijaya Kumar
Appl. Opt. 31(23) 4773-4801 (1992)

Multicriteria optimal binary amplitude phase-only filters

Ph. Réfrégier, B. V. K. Vijaya Kumar, and C. Hendrix
J. Opt. Soc. Am. A 9(12) 2118-2125 (1992)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (10)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (22)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription