Conditional and unconditional Cramér-Rao bounds for near-field source localization
IEEE Transactions on Signal Processing
A weighted linear prediction method for near-field source localization
IEEE Transactions on Signal Processing - Part I
Statistical resolution limits and the complexified Crame´r-Rao bound
IEEE Transactions on Signal Processing
Fundamental Limitations on the Resolution of Deterministic Signals
IEEE Transactions on Signal Processing
A covariance approximation method for near-field direction-findingusing a uniform linear array
IEEE Transactions on Signal Processing
Maximum likelihood angle estimation for signals with knownwaveforms
IEEE Transactions on Signal Processing
Performance analysis of higher order ESPRIT for localization ofnear-field sources
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Computationally efficient angle estimation for signals with knownwaveforms
IEEE Transactions on Signal Processing
Statistical Angular Resolution Limit for Point Sources
IEEE Transactions on Signal Processing
The Cramer-Rao bound on frequency estimates of signals closelyspaced in frequency
IEEE Transactions on Signal Processing
On the resolvability of sinusoids with nearby frequencies in the presence of noise
IEEE Transactions on Signal Processing
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In this fast communication, we derive the statistical resolution limit (SRL), characterizing the minimal parameter separation, to resolve two closely spaced known near-field sources impinging on a linear array. Toward this goal, we conduct on the first-order Taylor expansion of the observation model a Generalized Likelihood Ratio Test (GLRT) based on a Constrained Maximum Likelihood Estimator (CMLE) of the SRL. More precisely, the minimum separation between two near-field sources, that is detectable for a given probability of false alarm and a given probability of detection, is derived herein. Finally, numerical simulations are done to quantify the impact of the array geometry of the signal sources power distribution and of the array aperture on the statistical resolution limit.