Subspace Detectors: Theory

Harris, D B

Lawrence Livermore National Laboratory

关键词: Probability;    Vectors;    58 Geosciences;    Detection;    Design;   

DOI  :  10.2172/900081
RP-ID  :  UCRL-TR-222758
RP-ID  :  W-7405-ENG-48
RP-ID  :  900081

美国|英语

来源: UNT Digital Library

【 摘 要 】

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.