Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Maximum-information data processing: application to optical signals

Not Accessible

Your library or personal account may give you access

Abstract

We are investigating a new approach to the problem of estimating an unknown signal—use of the criterion of maximum information (MI). Given a set of data describing the signal (say, its noisy detected values or its autocorrelation), that signal is sought that would have relayed a maximum of Shannon information about itself into the data. This constitutes a maximally optimistic, unexpected, or detailed estimate, as is discussed. The MI principle is shown to be applicable to optical problems when enough photons are present to characterize the optical signals as probability laws. The image-restoration, image- or signal-smoothing, and missing-phase problems are so addressed. Sufficiently high signal levels are assumed present that noise of the additive type dominates in the image data. We analytically show that (a) under certain conditions the MI estimate is asymptotic to the maximum entropy estimate, and (b) with small noise in the data, the maximized information can be estimated immediately from the data without having to solve explicitly for the unknown signal. Numerical examples are given.

© 1981 Optical Society of America

Full Article  |  PDF Article
More Like This
Restoring with maximum entropy. III. Poisson sources and backgrounds

B. Roy Frieden and Donald C. Wells
J. Opt. Soc. Am. 68(1) 93-103 (1978)

Restoring with Maximum Likelihood and Maximum Entropy*

B. Roy Frieden
J. Opt. Soc. Am. 62(4) 511-518 (1972)

Restoration of arbitrary finite-energy optical objects from limited spatial and spectral information

H. Stark, D. Cahana, and H. Webb
J. Opt. Soc. Am. 71(6) 635-642 (1981)

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 Optica member, or as an authorized user of your institution.

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

Figures (6)

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

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

Equations (66)

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

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

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved