Linear stochastic systems
Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Time series: data analysis and theory
Time series: data analysis and theory
Asymptotic performance analysis of direction-finding algorithmsbased on fourth-order cumulants
IEEE Transactions on Signal Processing
Decoupled estimation of DOA and angular spread for a spatiallydistributed source
IEEE Transactions on Signal Processing
Asymptotic performance of second-order algorithms
IEEE Transactions on Signal Processing
Blind channel approximation: effective channel order determination
IEEE Transactions on Signal Processing
Analysis of the performance and sensitivity ofeigendecomposition-based detectors
IEEE Transactions on Signal Processing
On the behavior of information theoretic criteria for model orderselection
IEEE Transactions on Signal Processing
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The purpose of this paper is to determine the domain of validity of spatial covariance-based narrowband DOA algorithms when processing non-narrowband data. By focusing on the case of one source and two equipowered uncorrelated sources of the same bandwidth, we examine order detection and asymptotic bias and covariance w.r.t. the bandwidth and the number of snapshots given by any narrowband algorithm. An order detector scheme, based on numerical analysis arguments introduced in channel order detection, is proposed. Closed-form expressions are given for the asymptotic bias and covariance of the DOA's estimated by the MUSIC algorithm, for which we show the key role that bandwidth plays w.r.t. the demodulation frequency. Furthermore, a common closed-form expression of the Cramer-Rao bound is given for the DOA parameter of a narrowband or wideband source, whose spectrum is symmetric w.r.t. the demodulation frequency, in the case of an arbitrary array. This allows us to prove that the MUSIC atgorithrn retains its efficiency over a large bandwidth range under these conditions.