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Generalized Hilbert transform and its applications in geophysics
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2003
Year
Seismic Data ProcessingEarthquake EngineeringEngineeringIntegral TransformSeismologySeismic Reflection ProfilingSeismic AnalysisCivil EngineeringSeismic ImagingWaveform AnalysisGeneralized Hilbert TransformMicrolocal AnalysisTimefrequency AnalysisFunctional AnalysisSignal ProcessingInstantaneous PhaseHilbert Transform
The Hilbert transform (HT) has been used in seismic data processing and interpretation for many years. A well-known application of HT is seismic complex-trace analysis using instantaneous phase, frequency, and amplitude (Taner et al. 1979). We present a new generalized Hilbert transform (GHT), which has many advantages over the traditional HT—particularly robustness to noise and variety of applications.