Abstract
The deterministic and stochastic direction estimation Cramér-Rao bounds (CRBs) are studied in the presence of one signal and spatially uncorrelated sensor noise with unknown nonequal variances in array sensors. The explicit CRB expressions are obtained, and their relationship is studied showing some typical properties inherent in the nonidentical noise case.
Similar content being viewed by others
References
W. J. Bangs, Array processing with generalized beamformers, Ph.D. dissertation, Yale University, New Haven, CT, 1971.
J. F. Böhme, Estimation of spectral parameters of correlated signals in wavefields,Signal Process., vol. 10, pp. 329–337, 1986.
A. B. Gershman, A.L. Matveyev, and J.F. Böhme, Maximum likelihood estimation of signal power in sensor array in the presence of unknown noise field,IEE Proceedings F—Radar, Sonar, and Navigation, vol. F- 142, no. 5, pp. 218–224, October 1995.
S. M. Kay,Modern Spectral Estimation, Prentice-Hall, Englewood Cliffs, NJ, 1987.
U. Nickel, On the influence of channel errors on array signal processing methods,Int. J. Electron. Comm., vol. 47, no. 4, pp. 209–219, 1993.
R. O. Schmidt, Multiple emitter location and signal parameter estimation, inProc. RADC Spectral Estim. Workshop (Rome, NY), 1979, pp. 234–258.
P. Stoica, and A. Nehoral, MUSIC, maximum likelihood, and Cramér-Rao bound,IEEE Trans. Acoust., Speech, and Signal Process., vol. ASSP- 37, no. 5, pp. 720–741, May 1989.
P. Stoica, and A. Nehorai, Performance study of conditional and unconditional direction-of-arrival estimation,IEEE Trans. Acoust., Speech, and Signal Process., vol. ASSP-38, no. 10, pp. 1783–1795, October 1990.
P. Stoica and K. C. Sharman, Maximum likelihood methods for direction-of-arrival estimation,IEEE Trans. Acoust., Speech, and Signal Process., vol. ASSP-38, pp. 1132–1143, July 1990.
D. N. Swingler, Frequency estimation for closely spaced sinusoids: simple approximations to the Cramér-Rao bound,IEEE Trans. Signal Process., vol. SP-41, no. 1, pp. 489–494, January 1993.
R. J. Urick,Principles of Underwater Sound, second edition, McGraw-Hill, New York, 1975.
M. Viberg and B. Ottersten, Sensor array processing based on subspace fitting,IEEE Trans. Signal Process., vol. SP-39, no. 5, pp. 1110–1121, May 1991.
Author information
Authors and Affiliations
Additional information
This work was supported in part by a grant from the Natural Sciences and Engineering Research Council (NSERC) of Canada and by the Russian Foundation of Basic Research under Grants 96-02-18621 and 97-02-17555.
Rights and permissions
About this article
Cite this article
Matveyev, A.L., Gershman, A.B. & Böhme, J.F. On the direction estimation Cramér-Rao bounds in the presence of uncorrelated unknown noise. Circuits Systems and Signal Process 18, 479–487 (1999). https://doi.org/10.1007/BF01387467
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01387467