Cramer-Rao Bound on Passive Source Localization for General Gaussian Noise

Sha LI  Brian L.F. DAKU  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E93-A   No.5   pp.914-925
Publication Date: 2010/05/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E93.A.914
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Engineering Acoustics
CRB,  source localization,  estimation error variance,  

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This paper focuses on the development of Cramer-Rao Bound (CRB) expressions for passive source location estimation in various Gaussian noise environments. The scenarios considered involve an unknown deterministic source signal with a short time duration, and additive general Gaussian noise. The mathematical derivation procedure presented is applicable to non-stationary Gaussian noise problems. Specifically, explicit closed-form CRB expressions are presented using the spectrum representation of the signal and noise for stationary Gaussian noise cases.