A COMPARISON OF SEISMIC ARRAY PROCESSING SCHEMES

Abstract

It is the purpose in this note to discuss three of the many approaches to seismic array processing from the theoretical point of view. The three are: (1) maximumlikelihood processing, (2) the minimum-variance, unbiased estimator (MVU) approach used by Levin, and (3) multichannel Wiener filtering. A feature common to these techniques is the formation of a single output waveform which serves as an estimator of the unknown signal coming from a fixed direction. We refer to such an output as a 'beam'. It will be shown that (1) reduces to (2) in the case of gaussian noise and known signal parameters (i.e., known epicenter) and that (3) is related very simply to (2). In fact, the Wiener filtering output can be obtained directly from the MVU output. Both the sampleddata and continuous-time cases are treated. The note contains no new results.

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Document Details

Document Type
Technical Report
Publication Date
Jun 14, 1965
Accession Number
AD0618017

Entities

People

  • E. J. Kelly Jr.

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Air Force
  • Arrays
  • Calculus Of Variations
  • Classification
  • Coordinate Systems
  • Covariance
  • Data Processing
  • Department Of Defense
  • Equations
  • Estimators
  • Filters
  • Filtration
  • Frequency
  • Security
  • Seismic Arrays
  • Seismometers
  • Waveforms

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.
  • Seismology