efFourier: Calculate the first M Fourier basis functions

In ClaraHapp/funData: An S4 Class for Functional Data

Calculate the first M Fourier basis functions

Description

This function calculates the first M orthonormal Fourier basis functions on an arbitrary interval.

Usage

efFourier(argvals, M, linear = FALSE)

Arguments

argvals	A vector, defining a (fine) grid on the interval for which the Fourier basis functions are computed.
M	An integer, specifying the number of basis functions that are calculated.
linear	Logical. If TRUE, the last function is not a Fourier function but the linear function orthogonalized to all previous Fourier basis functions. Defaults to FALSE. See Details.

Details

If linear, the last basis function does not belong to the Fourier basis, but is the linear function orthogonalized to all previous Fourier basis functions via the Gram-Schmidt method. This is implemented only if argvalss is a grid defining the unit interval [0,1].

Value

A univariate functional data object of class funData containing the Fourier basis functions on the given interval.

See Also

funData, simFunData, simMultiFunData

ClaraHapp/funData documentation built on Feb. 20, 2024, 6:07 p.m.