Statistical Prediction of Cyclostationary Processes
Kwang-Y. Kim
Journal of Climate, 13, pp. 1098-1115
ABSTRACT
Considered in this study is a cyclostationary generalization of an EOF-based prediction method. While linear statistical prediction methods are typically optimal in the sense
that prediction error variance is minimal within the assumption of stationarity, there is some room for improved performance since many physical processes are not stationary. For
instance, El Niņo is known to be strongly phase locked with the seasonal cycle, which suggests nonstationarity of the El Niņo statistics. Many geophysical and climatological
processes may be termed cyclostationary since their statistics show strong cyclicity instead of stationarity. Therefore, developed in this study is a cyclostationary prediction
method. Test results demonstrate that performance of prediction methods can be improved significantly by accounting for the cyclostationarity of underlying processes. The
improvement comes from an accurate rendition of covariance structure both in space and time.
Member publication : 2000
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