Detection-estimation of very close emitters: performance breakdown, ambiguity, and general statistical analysis of maximum-likelihood estimation

Authors:
Yuri I. Abramovich;Ben A. Johnson
Affiliations:
Intelligence, Surveillance, and Reconnaissance Division, Defence Science and Technology Organization, Edinburgh, SA, Australia;Lockheed Martin Australia and the Institute for Telecommunications Research, University of South Australia, Mawson Lakes, SA, Australia
Venue:
IEEE Transactions on Signal Processing
Year:
2010

Citing 19
Cited 0

Digital processing of random signals: theory and methods

Digital processing of random signals: theory and methods
DOA estimator performance assessment in the pre-asymptotic domain using the likelihood principle

Signal Processing
Statistical resolution limits and the complexified Crame´r-Rao bound

IEEE Transactions on Signal Processing
GLRT-Based Threshold Detection-Estimation Performance Improvement and Application to Uniform Circular Antenna Arrays

IEEE Transactions on Signal Processing
A model selection rule for sinusoids in white Gaussian noise

IEEE Transactions on Signal Processing
The probability of a subspace swap in the SVD

IEEE Transactions on Signal Processing
A New Barankin Bound Approximation for the Prediction of the Threshold Region Performance of Maximum Likelihood Estimators

IEEE Transactions on Signal Processing
Fundamental Limitations on the Resolution of Deterministic Signals

IEEE Transactions on Signal Processing
On the Asymptotic Behavior of the Sample Estimates of Eigenvalues and Eigenvectors of Covariance Matrices

IEEE Transactions on Signal Processing
Threshold region performance of maximum likelihood direction of arrival estimators

IEEE Transactions on Signal Processing
Bounds on maximum likelihood ratio-part I: application to antenna array detection-estimation with perfect wavefront coherence

IEEE Transactions on Signal Processing
Ambiguity in radar and sonar

IEEE Transactions on Signal Processing
On the application of the global matched filter to DOA estimation with uniform circular arrays

IEEE Transactions on Signal Processing
Threshold performance analysis of maximum likelihood DOA estimation

IEEE Transactions on Signal Processing
Eigenvalue Beamforming Using a Multirank MVDR Beamformer and Subspace Selection

IEEE Transactions on Signal Processing
Bounds on maximum likelihood ratio-Part II: application to antenna array detection-estimation with imperfect wavefront coherence

IEEE Transactions on Signal Processing
Characterization of threshold for single tone maximum likelihoodfrequency estimation

IEEE Transactions on Signal Processing
Unconditional Maximum Likelihood Performance at Finite Number of Samples and High Signal-to-Noise Ratio

IEEE Transactions on Signal Processing
Mean-squared error and threshold SNR prediction of maximum-likelihood signal parameter estimation with estimated colored noise covariances

IEEE Transactions on Information Theory

Quantified Score

Hi-index	35.69

Visualization

Abstract

We reexamine the well-known problem of "threshold behavior" or "performance breakdown" in the detection-estimation of very closely spaced emitters. In this extreme regime, we analyze the performance for maximum-likelihood estimation (MLE) of directions-of-arrival (DOA) for two close Gaussian sources over the range of sample volumes and signal-to-noise ratios (SNRs) where the correct number of sources is reliably estimated by informationtheoretic criteria (ITC), but where one of the DOA estimates is severely erroneous ("outlier"). We show that random matrix theory (RMT) applied to the evaluation of theoretical MLE performance gives a relatively simple and accurate analytical description of the threshold behavior of MLE and ITC. In particular, the introduced "single-cluster" criterion provides accurate "ambiguity bounds" for the outliers.