This function calculates the first M orthonormal Fourier basis functions on an arbitrary interval.
efFourier(argvals, M, linear = FALSE)A univariate functional data object of class
funData containing the Fourier basis functions on
the given interval.
A vector, defining a (fine) grid on the interval for which the Fourier basis functions are computed.
An integer, specifying the number of basis functions that are calculated.
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 \([0,1]\).
funData, simFunData, simMultiFunData