efFourier: Calculate the first M Fourier basis functions
In funData: An S4 Class for Functional Data

Description Usage Arguments Details Value See Also

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

1	efFourier(argvals, M, linear = FALSE)

`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.

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].

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

funData, simFunData, simMultiFunData

funData documentation built on Oct. 17, 2021, 5:06 p.m.