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Seismic Data Regularization with Anti-Leakage Fourier Transform
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2004
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Spectral TheoryEngineeringGlobal Basis FunctionsSynthetic Aperture RadarSeismologySeismic WaveSeismic AnalysisSeismic ImagingFourier ReconstructionFourier AnalysisSeismic Reflection ProfilingInverse ProblemsGeophysical Signal ProcessingFourier ExpansionSpatial Frequency ContentSeismic Data RegularizationSignal ProcessingFrequency Domain Analysis
D032 Seismic Data Regularization with Anti-leakage Fourier Transform SHENG XU and DON PHAM Abstract 1 Veritas DCG Inc. Town Park Drive Houston Tx 77072 USA In the theory of Fourier reconstruction from discrete seismic data it aims to estimate the spatial frequency content on an irregularly sampled grid. After obtaining the Fourier coefficients the data can be reconstructed on any desired grid. For this type of transform difficulties arise from the non-orthogonality of the global basis functions on an irregular grid. As a consequence energy from one Fourier coefficient leaks onto other coefficients. This well-known phenomenon is called “spectral leakage”.