evaluate.basis: Evaluate orthonormal basis functions on a grid

In ZhuolinSong/wpe: Written Preliminary Exam or Literature Review: Methods for Functional Snippets

Evaluate orthonormal basis functions on a grid

Description

Evaluate orthonormal basis functions on a grid

Usage

evaluate.basis(
  K,
  m = 51,
  domain = c(0, 1),
  grid = seq(domain[1], domain[2], length.out = m),
  type = c("FOURIER", "COS", "SIN", "LEGENDRE")
)

Arguments

K	A positive integer specifying the number of eigenfunctions to generate.
m	the number of equispaced points on domain
domain	the domain on which basis functions are defined
grid	A vector specifying the time points to evaluate the basis functions. If grid is supplied, then m is ignored
type	A string for the type of orthogonal basis.

Value

A m by K matrix, where rows index basis functions while columns index points in the grid.

Examples

basis <- evaluate.basis(3, type='fourier')
head(basis)

ZhuolinSong/wpe documentation built on Oct. 31, 2022, 7:38 p.m.