CFAR matched direction detector

In a previously published paper by Besson et al., we considered the problem of detecting a signal whose associated spatial signature is known to lie in a given linear subspace, in the presence of subspace interference and broadband noise of known level. We extend these results to the case of unknown...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2006-07, Vol.54 (7), p.2840-2844
Main Authors: Besson, O., Scharf, L.L.
Format: Article
Language:English
Subjects:
Applied sciences
Array processing
Broadband
Computer simulation
Covariance matrix
detection
Detection, estimation, filtering, equalization, prediction
Detectors
Eigenvalues
Eigenvalues and eigenfunctions
Exact sciences and technology
Information, signal and communications theory
Interference
Mathematical analysis
Miscellaneous
Noise level
Noise levels
Null hypothesis
Numerical simulation
Sensor arrays
Signal and communications theory
Signal detection
Signal processing
Signal, noise
Subspaces
Telecommunications and information theory
Testing
Wishart matrices
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Summary:In a previously published paper by Besson et al., we considered the problem of detecting a signal whose associated spatial signature is known to lie in a given linear subspace, in the presence of subspace interference and broadband noise of known level. We extend these results to the case of unknown noise level. More precisely, we derive the generalized-likelihood ratio test (GLRT) for this problem, which provides a constant false-alarm rate (CFAR) detector. It is shown that the GLRT involves the largest eigenvalue and the trace of complex Wishart matrices. The distribution of the GLRT is derived under the null hypothesis. Numerical simulations illustrate its performance and provide a comparison with the GLRT when the noise level is known
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2006.874782