Localization Performance of Arrays Subject to Phase Errors

Yosef Rockah, Hagit Messer, Peter M. Schultheiss

Research output: Contribution to journalLetterpeer-review


The passive localization of radiating sources using an array subject to random perturbations in sensor phases is presented. All source signals as well as additive noises observed at the sensors are assumed to be independent identically distributed (IID) zero mean Gaussian random processes. Cramer-Rao bounds are derived for source bearings and ranges and for the phase errors at each sensor. It is shown that accurate phase calibration can be achieved when the number of sources exceeds a certain minimum. The locations of the calibrating sources need not be known a priori and need only satisfy mild regularity conditions. Finally an actual calibration procedure is proposed which uses maximum likelihood techniques.

Original languageEnglish
Pages (from-to)402-410
Number of pages9
JournalIEEE Transactions on Aerospace and Electronic Systems
Issue number4
StatePublished - Jul 1988
Externally publishedYes

Bibliographical note

Funding Information:
This work was supported by the Office of Naval Research under Contract NO00 14-80-C-0092.


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