fsd.spectral.density: Estimate the spectral density operator

In kuenzer/fsd: Functional Spatial Data: Spatial Functional PCA

Description

This function is used to estimate the spectral density operator of stationary functional spatial data on a spatial frequency grid.

Usage

fsd.spectral.density(X, freq, q = NULL, na.rm = FALSE)

Arguments

X	the functional spatial data. Either an fd object or an array.
freq	the spatial frequencies with respect to which the spectral density is to be estimated. A vector or a list of vectors defining the grid.
q	the size of the window of the kernel used for estimation. An integer or a vector. For any dimension, the value q = 1 is equivalent to q = 0 and means that no lags in this direction are taken into account.
na.rm	whether or not missing values should be ignored.

Details

The spectral density is estimated employing a Bartlett kernel on the Euclidean norm of the lags. Therefore, the lag q is the smallest lag not to be taken into consideration.

Value

the spectral density, i.e. a list consisting of

operators	a list of the the spectral density operator at different spatial frequencies.
freq	a list of the spatial frequencies.
basis	the basis object of the functional data.
estimation.q	the tuning parameter q used in the estimation process.

Examples

## Not run: 
fsd.spectral.density(X, freq)

## End(Not run)

kuenzer/fsd documentation built on July 21, 2020, 1:57 p.m.