FourierBasis: Fourier basis functions
In USP: U-Statistic Permutation Tests of Independence for all Data Types

Description Usage Arguments Value References Examples

View source: R/FourierBasis.R

Computes the values of the one-dimensional Fourier basis functions at a vector of locations x and with a vector of frequencies m. The scaling factor of 2π is included, so that the function returns, e.g., √{2} \cos(2π m x).

1	FourierBasis(a, m, x)

`a`	Sine or cosine; a=0 gives cosine and a=1 gives sine.
`m`	Vector of frequencies m.
`x`	Vector of locations x.

Returns the values of √{2} \cos(2π m x).

\insertRef

BKS2020USP

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e=FourierBasis(1,1:100,0.01); plot(0.01*(1:100),e,type="l")
e=FourierBasis(0,1,0.01*(1:100)); plot(0.01*(1:100),e,type="l")
FourierBasis(1,1:3,0.1*(1:10))