简介：Asimplifiedmethodforthesimulationoftheergodicspatiallycorrelatedseismicgroundmotionisproposedbasedonthecommonlyusedoriginalspectralrepresentationmethod.Torepresentthecorrelationinthegroundmotion,thephaseanglesaregivenbyexplicittermswithaclearphysicalmeaning.Bytheseexplicitterms,thecomputationalefficiencycanbeimprovedbyconvertingthedecompositionofthecomplexcross-spectralmatrixintothedecompositionoftherealincoherencecoefficientmatrix.Double-indexingfrequenciesareintroducedtosimulatetheergodicseismicgroundmotion,andtheergodicfeatureoftheimprovedmethodisdemonstratedtheoretically.Subsequently,anexplicitsolutionoftheelementsofthelowertriangularmatrixundertheCholeskydecompositionisgiven.Withthisexplicitsolution,theimprovedmethodissimplified,andthecomputationalefficiencycanbeimprovedgreatlybyavoidingtherepetitiveCholeskydecompositionofthecross-spectralmatrixineachfrequencystep.Finally,anumericalexampleshowsthegoodcharacteristicoftheimprovedmethod.