Abstract | ||
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Maximum likelihood (ML) estimation in array signal processing for the stochastic noncoherent signal case is well documented in the literature. We focus on the equally relevant case of stochastic coherent signals. Explicit large-sample realizations are derived for the ML estimates of the noise power and the (singular) signal covariance matrix. The asymptotic properties of the estimates are examined, and some numerical examples are provided. In addition, we show the surprising fact that the ML estimates of the signal parameters obtained by ignoring the information that the sources are coherent coincide in large samples with the ML estimates obtained by exploiting the coherent source information. Thus, the ML signal parameter estimator derived for the noncoherent case (or its large-sample realizations) asymptotically achieves the lowest possible estimation error variance (corresponding to the coherent Cramer-Rao bound) |
Year | DOI | Venue |
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1996 | 10.1109/78.482015 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
noncoherent case,coherent cramer-rao,stochastic coherent source,relevant case,stochastic noncoherent signal case,array signal processing,stochastic coherent signal,signal parameter,maximum likelihood array processing,ml estimate,coherent source information,ml signal parameter estimator,stochastic processes,cramer rao bound,noise,parameter estimation,maximum likelihood,noise power,signal processing,covariance matrix,maximum likelihood estimation,stochastic resonance | Applied mathematics,Signal processing,Array processing,Noise power,Control theory,Sensor array,Stochastic process,Covariance matrix,Estimation theory,Statistics,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
44 | 1 | 1053-587X |
Citations | PageRank | References |
33 | 2.71 | 7 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
P. Stoica | 1 | 741 | 56.84 |
Björn E. Ottersten | 2 | 6418 | 575.28 |
M. Viberg | 3 | 917 | 188.13 |
R.L. Moses | 4 | 74 | 8.03 |