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Matched Subspace Detectors

David Ramírez, Ignacio Santamaría and Louis Scharf
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David Ramírez: Universidad Carlos III de Madrid
Ignacio Santamaría: Universidad de Cantabria
Louis Scharf: Colorado State University

Chapter 5 in Coherence, 2022, pp 149-183 from Springer

Abstract: Abstract This chapter is devoted to the detection of signals that are constrained to lie in a subspace. The subspace may be known, or known only by its dimension. The probability distribution for the measurements may carry the signal in a parameterization of the mean or in a parameterization of the covariance matrix. Likelihood ratio detectors are derived, their invariances are revealed, and their null distributions are derived where tractable. The result is a comprehensive account of matched subspace detectors in the multivariate normal model.

Keywords: Coherence; Generalized likelihood ratio; Matched subspace detector; Matched direction detector (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-13331-2_5

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DOI: 10.1007/978-3-031-13331-2_5

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