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Gabor representation and signal detection

  • Ariela Zeira
  • Benjamin Friedlander
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

A common assumption in studies on Gabor based signal detection is that the Gabor representation of the signal is sparse, in the sense that the vector of Gabor coefficients contains only a few nonzero entries at known locations. Under this assumption the problem of detecting a Gabor transient becomes the problem of detecting a subspace signal in background noise. Extending the theory of matched subspace detection to complex signals, we derive matched subspace detectors for this problem and discuss their optimality. We investigate the sensitivity of matched subspace detectors to mismatch in the model parameters. Motivated by the sensitivity analysis, we develop robust matched subspace detectors and analyze their performance.

Keywords

False Alarm Probability Subspace Signal Constant False Alarm Rate Left Inverse Generalize Likelihood Ratio Test 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Ariela Zeira
  • Benjamin Friedlander

There are no affiliations available

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