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

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

© 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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