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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 24 — Aug. 20, 2010
  • pp: 4581–4590

Cramer–Rao lower bound on range error for LADARs with Geiger-mode avalanche photodiodes

Steven E. Johnson  »View Author Affiliations


Applied Optics, Vol. 49, Issue 24, pp. 4581-4590 (2010)
http://dx.doi.org/10.1364/AO.49.004581


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Abstract

The Cramer–Rao lower bound (CRLB) on range error is calculated for laser detection and ranging (LADAR) systems using Geiger-mode avalanche photodiodes (GMAPDs) to detect reflected laser pulses. For the cases considered, the GMAPD range error CRLB is greater than the CRLB for a photon-counting device. It is also shown that the GMAPD range error CRLB is minimized when the mean energy in the received laser pulse is finite. Given typical LADAR system parameters, a Gaussian-envelope received pulse, and a noise detection rate of less than 4 MHz , the GMAPD range error CRLB is minimized when the quantum efficiency times the mean number of received laser pulse photons is between 2.2 and 2.3.

© 2010 Optical Society of America

OCIS Codes
(010.3640) Atmospheric and oceanic optics : Lidar
(030.5260) Coherence and statistical optics : Photon counting
(280.3400) Remote sensing and sensors : Laser range finder
(040.1345) Detectors : Avalanche photodiodes (APDs)

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: May 18, 2010
Revised Manuscript: June 25, 2010
Manuscript Accepted: July 23, 2010
Published: August 16, 2010

Citation
Steven E. Johnson, "Cramer–Rao lower bound on range error for LADARs with Geiger-mode avalanche photodiodes," Appl. Opt. 49, 4581-4590 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-24-4581

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