Accession Number : ADA319833

Title :   Array Detection of Ripple-Fired Signals: The Cepstral F-Statistic.

Descriptive Note : Scientific rept. no. 1,

Corporate Author : CALIFORNIA UNIV DAVIS

Personal Author(s) : Shumway, Robert H.

PDF Url : ADA319833

Report Date : 30 SEP 1996

Pagination or Media Count : 34

Abstract : Time and frequency domain approaches to detecting a consistent pattern of reflections on an ensemble of seismic recordings are developed. Such patterns are characteristic of mining bursts and not of nuclear explosions or earthquakes so that detecting a ripple delay structure can serve as one component for discrimination. In the frequency domain approach, a generalization of cepstral analysis is used to derive an F-Statistic for detecting delay-fired events. Detrended log spectra are considered as realizations of a stationary process whose periodic components are quefrencies, with periods proportional to delay time differences. An F-Statistic is derived that is proportional to the stacked cepstrum and the spectrum of the stacked log spectra. Advantages of the cepstral F-Statistic accrue from better resolution and the fact that statistical significance can be established for delay peaks. It is also easily incorporated into automatic detection systems. The frequency domain approach is compared to a time domain approach that involves searching seasonal autoregressive models with a fixed regular delay structure. Simulated array data and data from a number of mining explosions, measured at ARCESS, are analyzed by both approaches.

Descriptors :   *UNDERGROUND EXPLOSIONS, *SEISMIC DISCRIMINATION, MATHEMATICAL MODELS, MULTIVARIATE ANALYSIS, MINING ENGINEERING, EXPLOSION EFFECTS, CONSISTENCY, REGRESSION ANALYSIS, RIPPLES, TIME DOMAIN, FREQUENCY DOMAIN, SEISMIC ARRAYS, CEPSTRUM TECHNIQUE.

Subject Categories : Seismic Detection and Detectors
      Explosions

Distribution Statement : APPROVED FOR PUBLIC RELEASE