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Matched subspace detectors

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Scharf, L.L., Friedlander, B.·1994·IEEE Transactions on Signal Processing

Abstract

We formulate a general class of problems for detecting subspace signals in subspace interference and broadband noise. We derive the generalized likelihood ratio (GLR) for each problem in the class. We then establish the invariances for the GLR and argue that these are the natural invariances for the problem. In each case, the GLR is a maximal invariant statistic, and the distribution of the maximal invariant statistic is monotone. This means that the GLR test (GLRT) is the uniformly most powerful invariant detector. We illustrate the utility of this finding by solving a number of problems for detecting subspace signals in subspace interference and broadband noise. In each case we give the distribution for the detector and compute performance curves.>

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Research works printed but not linked: 5

  1. dunn, 1986, Sufficiency and invariance principles applied to four detection problems
  2. 10.1109/ICASSP.1984.1172792 · doi:10.1109/icassp.1984.1172792
  3. 10.1109/18.119729 · doi:10.1109/18.119729
  4. ferguson, 1967, Mathematical Statistics
  5. 10.1109/TIT.1971.1054668 · doi:10.1109/tit.1971.1054668

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Metadata

Authors
Scharf, L. L., & Friedlander, B.
Venue
IEEE Transactions on Signal Processing
Published
1994
Volume
42
Issue
8
Pages
2146-2157
ISSN
1053-587X (ISSN-L)
OpenAlex
W2107820823
Cited by
958
References
4
FWCI
10.14
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Matched subspace detectors. https://app.cochat.ai/papers/10.1109/78.301849
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Scharf, L. L., & Friedlander, B. (1994). Matched subspace detectors. IEEE Transactions on Signal Processing. https://doi.org/10.1109/78.301849

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