make.fourier.basis {fctbases}

Make fourier basis

Description

Make fourier basis

Usage

make.fourier.basis(range, order, use.trig.id = FALSE)

Arguments

range

Left and right end points.

order

Order of harmonics

use.trig.id

Use trigonometrical identities with this function?

Details

The number of basis elements (degrees of freedom) is 2 * order + 1.

The basis functions are ordered [1, sin(t), cos(t), sin(2t), cos(2t), ...]

Using trigonometrical identities is faster, but introduces (negligible) round-off errors.

Value

Function of class "fctbasis"

See Also

Functional basis function

Examples

## A fourier basis with period 1 and 11 basis functions. 
bf <- make.fourier.basis(c(0,1), order = 5)