Subspace Detectors: Theory

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Broadband subspace detectors are introduced for seismological applications that require the detection of repetitive sources that produce similar, yet significantly variable seismic signals. Like correlation detectors, of which they are a generalization, subspace detectors often permit remarkably sensitive detection of small events. The subspace detector derives its name from the fact that it projects a sliding window of data drawn from a continuous stream onto a vector signal subspace spanning the collection of signals expected to be generated by a particular source. Empirical procedures are presented for designing subspaces from clusters of events characterizing a source. Furthermore, a solution is ... continued below

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PDF-file: 48 pages; size: 2.9 Mbytes

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Harris, D B July 11, 2006.

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Broadband subspace detectors are introduced for seismological applications that require the detection of repetitive sources that produce similar, yet significantly variable seismic signals. Like correlation detectors, of which they are a generalization, subspace detectors often permit remarkably sensitive detection of small events. The subspace detector derives its name from the fact that it projects a sliding window of data drawn from a continuous stream onto a vector signal subspace spanning the collection of signals expected to be generated by a particular source. Empirical procedures are presented for designing subspaces from clusters of events characterizing a source. Furthermore, a solution is presented for the problem of selecting the dimension of the subspace to maximize the probability of detecting repetitive events at a fixed false alarm rate. An example illustrates subspace design and detection using events in the 2002 San Ramon, California earthquake swarm.

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PDF-file: 48 pages; size: 2.9 Mbytes

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  • Report No.: UCRL-TR-222758
  • Grant Number: W-7405-ENG-48
  • DOI: 10.2172/900081 | External Link
  • Office of Scientific & Technical Information Report Number: 900081
  • Archival Resource Key: ark:/67531/metadc884801

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  • July 11, 2006

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

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  • Dec. 2, 2016, 1:07 p.m.

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Harris, D B. Subspace Detectors: Theory, report, July 11, 2006; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc884801/: accessed December 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.