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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 7 — Jul. 1, 2013
  • pp: 1335–1341

Shot noise statistics and information theory of sensitivity limits in frequency-modulated continuous-wave ladar

Zeb W. Barber, Jason R. Dahl, Tia L. Sharpe, and Baris I. Erkmen  »View Author Affiliations


JOSA A, Vol. 30, Issue 7, pp. 1335-1341 (2013)
http://dx.doi.org/10.1364/JOSAA.30.001335


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Abstract

A theoretical analysis and experimental verification of the sensitivity limits of frequency-modulated continuous-wave (FMCW) ladar in the limit of a strong local oscillator is presented. The single-photon sensitivity of coherent heterodyne detection in this shot-noise dominated limit is verified to extend to linearly chirped waveforms. An information theoretic analysis is presented to estimate the information efficiency of received photons for the task of locating the range to single and multiple targets. It is found that the optimum receive signal level is proportional to the logarithm of the number of resolvable range locations and the maximum theoretical photon information efficiency for FMCW ranging with coherent fields is log(e)1.44 bits per received photon.

© 2013 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(030.5290) Coherence and statistical optics : Photon statistics
(280.3400) Remote sensing and sensors : Laser range finder

ToC Category:
Imaging Systems

History
Original Manuscript: April 25, 2013
Manuscript Accepted: May 15, 2013
Published: June 11, 2013

Citation
Zeb W. Barber, Jason R. Dahl, Tia L. Sharpe, and Baris I. Erkmen, "Shot noise statistics and information theory of sensitivity limits in frequency-modulated continuous-wave ladar," J. Opt. Soc. Am. A 30, 1335-1341 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-7-1335

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