Abstract

A computer simulation of nonlinear correlators with (-k)th-law nonlinearity has been implemented. The nonlinearity is applied to the input-image power spectrum, with either a matched filter or a phase-only filter representing the reference object. Optimal correlators (with an exactly known power spectrum of the background-image component) and suboptimal correlators have been studied in order to establish potential limits and achievable figures for the correlator’s discrimination capability in a target location in a cluttered background. For the suboptimal correlators, different values of the nonlinearity index k have been investigated for two methods of the image’s power-spectrum estimation and for different degrees on the limitation of the nonlinearity’s dynamic range. The results show that the nonlinear correlators promise significant improvement in the correlator’s discrimination capability and provide important information for evaluating the practical aspects of the correlator’s design.

© 1995 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Nonlinearity optimization in nonlinear joint transform correlators

Leonid P. Yaroslavsky and Emanuel Marom
Appl. Opt. 36(20) 4816-4822 (1997)

Performance of the nonlinear joint transform correlator for images with low-pass characteristics

Bahram Javidi, Jun Wang, and Amir H. Faziollahi
Appl. Opt. 33(5) 834-848 (1994)

Application of nonlinearity to wavelet-transformed images to improve correlation filter performance

Lamia S. Jamal-Aldin, Rupert C. D. Young, and Chris R. Chatwin
Appl. Opt. 36(35) 9212-9224 (1997)

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 (11)

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

Tables (1)

You do not have subscription access to this journal. Article tables 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 (7)

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