artfima (version 1.2)

SB32: Turbulent flow data from Station SB32

Description

Turbulent flow water time series, Lake Huron, druing 2009-2010.

Usage

data("SB32")

format

The format is: num [1:5374] -2.2 1.4 -0.6 -0.4 -1.5 -2.6 -0.9 0.5 -0.9 1.5 ...

Details

See paper by Meerschaert, Sabzikar, Phanikumar and Zeleke (2014).

References

M.M. Meerschaert, Farzad Sabzikar, M.S. Phanikumar, and A. Zeleke, Tempered fractional time series model for turbulence in geophysical flows, Journal of Statistical Mechanics: Theory and Experiment, Vol. 2014 p. P09023 (13 pp.) doi:10.1088/1742-5468/2014/09/P09023.

Examples

data(SB32)
ans <- spec.pgram(SB32, fast=FALSE, detrend=FALSE, plot=FALSE, taper=0)
lsdf <- log((ans$spec)/(2*pi))
lfre <- log(ans$freq) 
plot(lfre, lsdf, xlab="log frequency", ylab="log spectral density", 
     col=gray(0, 0.7))
sdf <- sdfartfima(n=length(SB32), d=5/6, lambda=0.045)
lines(lfre, log(sdf), col="red", lwd=3)