Maximum likelihood estimation of broadband noise source location for unknown signal and noise power spectral densities

Authors

  • V. I. Turchin Institute of Applied Physics of the Russian Academy of Sciences, Russian Federation

DOI:

https://doi.org/10.1109/ICATT.2013.6650740

Keywords:

power spectral density, maximum likelihood estimator, Cramer-Rao lower bound

Abstract

Maximum likelihood estimator of broadband Gaussian noise source location in the presence of spatially uncorrelated background noise with adaptation to the un-known power spectral densities of noise and source signal is considered; the difference of the estimator from the analogous estimators derived earlier is discussed. The Cramer-Rao Lower Bound (CRLB) for characterization of location estimate variance is derived. The comparison of empirical variance estimates with CRLB and with empirical variance estimates in the case of conventional summation of narrow band array outputs is conducted. It is shown that the technique proposed provides better accuracy when the signal and noise power spectral densities are appreciable different. It is shown also that the effects of weak spatial noise correlation are negligible.

References

URICK, R.J. Principles of Underwater Sound. N.Y.: McGraw-Hill, 1975.

LI, J.; STOIKA, P. (eds.). Robust Adaptive Beamforming. NJ: John Willey & Sons, 2006.

REPIN, V.G.; TARTAKOVSKY, G.P. Statistical Synthesis under Prior Uncertainty and Adaptation of Information Systems. Moсsow: Sov. Radio, 1978 [in Russian].

MECKLENBRAUKER, C.F.; GERSHMAN, A.B.; BOHME, J.F. Broadband ML approach to environmental parameter estimation in shallow ocean at low SNR. Signal Processing, 2001, v.81, p.2-389.

MECKLENBRAUKER, C.F.; GERSTOFT, P. Objective functions for ocean acoustic inversion derived by likelihood methods. J. Computational Acoustics, 2000, n.8, p.2-259, doi: http://dx.doi.org/10.1016/S0218-396X(00)00023-6.

BAGGEROER, A.B.; KUPERMAN, W.A.; MIKHALEVSKY, P.N. An overview of matched field methods in ocean acoustics. IEEE J. Oceanic Eng., 1993, v.18, n.4, p.401-424, doi: http://dx.doi.org/10.1109/48.262292.

VAN TREES, H.L. Detection, Estimation and Modulation Theory, Optimum Array Processing. John Willey & Sons, 2004.

KAY, S.M. Fundamentals of Statistical Signal Processing: Estimation Theory. NJ: Prentice-Hall, 1993.

Published

2014-02-19

Issue

Section

AA, AAA, smart antennas and signal processing