Model identification and validation of nonstationary seismic signals

Maiwald, D.; Molle, J.W. Dalle; Böhme, J.F.

doi:10.1109/host.1993.264544

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“…After a parametric model is chosen, the stationarity test procedure can be used in the validation of the model through the investigation of the residuals from the parametric model fit and the observed signal [1]. After a parametric model is chosen, the stationarity test procedure can be used in the validation of the model through the investigation of the residuals from the parametric model fit and the observed signal [1].…”

Section: Introductionmentioning

confidence: 99%

Nonstationary Signal Analysis by Second-Order Polyspectra

Maiwald¹,

Molle²,

Böhme³

1995

Frequenz

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The second-order polyspectrum is the Fourier transform of the second-order comulant function and is defined without requiring stationarity. It is the generalization of the power spectrum to the analysis of nonstationary processes. The second-order polyspectrum is capable of measuring, identifying, and characterizing the potential information concerning the second-order time-dependencies of a nonstationary process. In this paper, we apply the second-order polyspectrum. We use the second-order polyspectrum as a diagnosis and classification tool for simulated data, biological data, and sonar data. Finally, we investigate a beamforming procedure for nonstationary seismic data.

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Section: Introductionmentioning

confidence: 99%