Geophysics · 1979 · 108 citations · 2 references
Natural SciencesEarth SciencesGeophysicsExploration GeophysicsSeismologyTime Series AnalysisArray ProcessingExploration SeismologyGeophysical Signal ProcessingSignal ProcessingSurface Wave MethodsWave SpectraArray Signal ProcessingCircular ArraysMicroseismic Signal ProcessingPhase Velocity EstimationSeismic Phase VelocityStationary Random ProcessesSurface WavesWave Direction Estimation
Abstract The theory of spectral representations of stationary random processes can be a useful tool in signal processing. Using this theory, it is possible to derive simple methods of estimating the phase velocity of surface waves from observations made with a circular array. The methods are totally nondirectional, thus allowing the use of microseisms for exploration seismology. Furthermore, the methods can be extended to yield directional information about both correlated and uncorrelated signals.
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Second-order Homogeneous Random Fields
A. M. Yaglom · Project Euclid (Cornell University) · 1961 · 123 citations