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

Intensity-weighted phase-derivative statistics

Not Accessible

Your library or personal account may give you access

Abstract

It is shown that amplitude weighting can improve the accuracy of measurements of the frequency offset of a signal contaminated by multiplicative Gaussian noise. The more general non-Gaussian case is investigated through study of the statistics of a simple phase-screen scattering model. Formulas are derived for the low-order moments of the intensity-weighted phase derivative. Numerical simulation is tested against these results and is used to generate full probability densities that are analytically intractable and to determine the optimum weighting for the non-Gaussian regime of the model. The results are relevant to a variety of remote-sensing and signal-processing problems.

© 2001 Optical Society of America

Full Article  |  PDF Article
More Like This
Signal processing analog of phase screen scattering

E. Jakeman and K. D. Ridley
J. Opt. Soc. Am. A 15(5) 1149-1159 (1998)

Two-dimensional phase unwrapping with use of statistical models for cost functions in nonlinear optimization

Curtis W. Chen and Howard A. Zebker
J. Opt. Soc. Am. A 18(2) 338-351 (2001)

Speckle statistics from gamma-distributed random-phase screens

Héctor M. Escamilla and Eugenio R. Méndez
J. Opt. Soc. Am. A 8(12) 1929-1935 (1991)

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 (7)

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 (69)

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