| Library: | fda |
| See also: | Bsplineevalgd polyevalgd |
| Quantlet: | Fourierevalgd | |
| Description: | evaluates the Fourier basis on xvec. |
| Usage: | phi = Fourierevalgd(xvec,nbasis,period{,deriv}) | |
| Input: | ||
| xvec | p x q matrix, arguments where the Fourier bases should be evaluated at. | |
| nbasis | scalar, dimension of the functional basis | |
| period | scalar, period | |
| deriv | r x 1 vector of integers (>= 0), contains the orders of derivatives to compute. If deriv = 0 the actual Fourier bases will be calculated. The default value is deriv = 0. | |
| Output: | ||
| phi | (p x (nbasis) x r x q) array, values of all Fourier basis function values for argument matrix xvec | |
library("fda")
tvec = #(0, 2, 3, 6, 10)
Fourierevalgd(tvec, 5, 10, #(0, 3))
Contents of phi [,,1,1,1,1,1,1] [1,] 0.31623 0 0.44721 0 0.44721 [2,] 0.31623 0.42533 0.1382 0.26287 -0.3618 [3,] 0.31623 0.42533 -0.1382 -0.26287 -0.3618 [4,] 0.31623 -0.26287 -0.3618 0.42533 0.1382 [5,] 0.31623 -1.0958e-16 0.44721 -2.1916e-16 0.44721 [,,2,1,1,1,1,1] [1,] 0 -0.11093 -2.0386e-17 -0.88745 -1.6309e-16 [2,] 0 -0.03428 0.1055 0.71796 0.52163 [3,] 0 0.03428 0.1055 0.71796 -0.52163 [4,] 0 0.089745 -0.065204 -0.27424 0.84402 [5,] 0 -0.11093 -4.7568e-17 -0.88745 -2.1744e-15