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Maximum-likelihood spectral estimation

  • J. Capon
Chapter
Part of the Topics in Applied Physics book series (TAP, volume 34)

Abstract

A description has been given of some signal processing methods in large array seismology. The optimum detector for a known signal in additive Gaussian noise was shown to consist of the tandem combination of appropriate time delays, maximum-likelihood filter, noise whitening filter, matched filter, and a threshold comparator. The maximum-likelihood filter plays an important role in determining the structure of the optimum detector. This filter also provides a minimum-variance unbiased estimate for the input signal when it is not known, which is the same as the maximum-likelihood estimate of the signal if we have Gaussian noise.

If the noise is stationary in both time and space then it can be characterized by a frequency wave number power spectral density function. The performance of array processing filters, such as the maximum-likelihood filter, is relatively simple to explain in terms of the structure of this function.

Keywords

Rayleigh Wave Optimum Detector Seismic Array Slowness Vector Microseismic Noise 
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-Verlag 1979

Authors and Affiliations

  • J. Capon

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