2016), the general Matérn function or rational quadratic covariance functions (Rasmussen and Williams 2006 Lilly et al. Various models have been proposed to describe temporal correlations we cite the autoregressive (AR) process and all its variations (Box et al. The correlations can be (i) short-term, decreasing exponentially to zero from the origin with increasing time, or (ii) long-term, decreasing rapidly from the origin but staying close to a constant value after a few time lags, and for a long time (Karagiannis et al. The causes are multiple, from the influence of the medium travelled, to cables and electronic components (Hooge 1994 Buchanan 1996 Wheelon 2001), to cite but a few. The noise of geodetic sensors exhibits temporal correlations: the value recorded at a given time depends on its temporal neighbours.
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