By Renata Dmowska, Barry Saltzman
This sequence presents a venue for longer studies of present advances in geophysics. Written at a degree available to graduate scholars, the articles serve to develop wisdom of assorted fields and will be necessary in classes and seminars.
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Additional resources for Advances in Geophysics, Vol. 41
MANN AND JEFFREY PARK this iterative procedure.. As discussed below, the frequency-independent nature of the distribution of LFV for a wide range of colored-noise processes provides for fairly unrestrictive null hypothesis testing and the use of powerful nonparametric signiﬁcance estimation procedures. 2. , gridpoints. of the multivariate data set. Using the envelope estimate A˜1Ž f 0 , t . , the reconstructed spatiotemporal signal ˜ y is described by ˜x nŽ m. ␥ Ž f 0 . ᑬ Ä Ž m. A˜1Ž n⌬ t . e i 2 f 0 n⌬ t 4, Ž 15.
A rms Ž f 0 . , Ž 16. where the pattern is scaled by the root-mean-square amplitude A rmsŽ f 0 . of the modulating envelope A˜1Ž f 0 , t . Žbecause of amplitude modulation, the amplitude of the pattern is variable from cycle to cycle.. , relative timing of peak minimum anomaly at a particular location for a particular variable.. This information is often more physically portrayed in terms of a sequence of real-valued anomaly patterns Žpositive or negative values of the anomaly ﬁeld. , Mann and Park, 1996b..
May yield more physically sensible patterns, but only under certain restrictive assumptions regarding the spatial structure of signals; in fact, the true linear transformations of the eigenmodes required to yield physically distinct climate signals cannot a priori be known. In the case of MTM-SVD, a corresponding alternative linear transformationᎏthe Fourier transformᎏis in fact speciﬁable a priori. The MTM-SVD procedure assumes that a signal has a very speciﬁc narrowband frequency-domain structure, and under that assumption assures quite high spatial signal-to-noise ratios in signal reconstruction.
Advances in Geophysics, Vol. 41 by Renata Dmowska, Barry Saltzman