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Multidimensional autoregression
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Multidimensional autoregression
Time domain versus frequency domain
SOURCE WAVEFORM, MULTIPLE REFLECTIONS
TIME-SERIES AUTOREGRESSION
PREDICTION-ERROR FILTER OUTPUT IS WHITE
The relationship between spectrum and PEF
Undoing convolution in nature
Causal with causal inverse
PEF output tends to whiteness
Spectral estimation
Short windows
Weathered layer resonance
Simple dip filters
PEF whiteness proof in 1-D
PEF whiteness proof in 2-D
The shape of the 3-D prediction-error filter
Infill of 3-D seismic data from a quarry blast
WEIGHTED PEF ESTIMATION
TWO-STAGE LINEAR LEAST SQUARES
OPTIMUM FILLING OF EMPTY BINS
Two-dimensional convolutions, transient and internal
Finding the prediction-error filter
Imposing prior knowledge of symmetry
SEABEAM: FILLING THE EMPTY BINS
Using linear interpolation instead of binning
BOTH MISSING DATA AND UNKNOWN FILTER
Objections to interpolation error
Packing both missing data and filter into a vector
LEVELED INVERSE INTERPOLATION
Test results for leveled inverse interpolation
Analysis for leveled inverse interpolation
Risky ways to do nonlinear optimization
MULTIVARIATE SPECTRUM
What should we optimize?
Confusing terminology for data covariance
TIME-VARIABLE DECONVOLUTION
About this document ...
Stanford Exploration Project
2/27/1998
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