A Dynamic Linear Model for Three-Component Seismic Waveforms,

Abstract

A three-component waveform is modeled as a sum of trigonometric functions using Dynamic Linear Modeling (DLM), a statistical extension of Kalman filtering. The DLM method converts a waveform into a multivariate time series of amplitude and phase-angle estimates. This time series is then transformed into a multivariate time series of descriptive features such as magnitude, direction-of-travel and dimensionality which are more closely related to the underlying seismic phases. There are many possible transformations, and several are considered here. This paper also explores the expected behavior of the dimensionality, magnitude and direction-of-travel time series over the duration of a phase. Dynamic Linear Modeling and parameter transformation is illustrated with an artificial waveform having compressional and Rayleigh phases.

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Document Details

Document Type
Technical Report
Publication Date
Aug 14, 1995
Accession Number
ADP204446

Entities

People

  • Alan Rohay
  • Don S. Daly
  • Kevin J. Anderson
  • Wes Nicholson

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Background Noise
  • Composite Materials
  • Covariance
  • Descriptive Analytics
  • Eigenvalues
  • Eigenvectors
  • Frequency
  • Kalman Filtering
  • Kalman Filters
  • New York
  • Probability Distributions
  • Rayleigh Waves
  • Statistics
  • Travel Time
  • United States
  • Waves

Fields of Study

  • Mathematics

Readers

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