fspecPFGN: Spectral Density of a perturbed Fractional Gaussian Noise

Description Usage Arguments Details Value Author(s) References See Also Examples

Description

Generation of the spectral density of a fractional Gaussian noise contaminated by white noise.

Usage

1
fspecPFGN(eta, m, SNR=NULL)

Arguments

eta

a positive value of the Hurst exponent which is less than 1.

m

the number of time points.

SNR

the signal-to-noise ratio.

Details

This function produces the spectral density of a fractional Gaussian noise contaminated by white noise.

Value

fspec

a vector of spectral density with length of the largest integer less than (m-1)/2.

theta1

a value of the first component of theta.

Author(s)

Wonsang You

References

Wonsang You (2010) Modified Whittle's Maximum Likelihood Estimator for Fractional Gaussian Noises Contaminated by Additive Noises, Technical Reports of the Leibniz Institute for Neurobiology, TR10015.

Jan Beran (1994) Statistics for Long-Memory Processes, Chapman & Hall.

See Also

fspecFGN, fspecPFGN, wFGN

Examples

1
2
eta<-0.7; m<-1000; SNR=0
fspec<-fspecPFGN(eta,m,SNR)

wonsang/wfGn documentation built on May 14, 2019, 9:25 p.m.