MECfda (version 0.2.0)

FourierSeries2fun: Compute the value of the Fourier summation series

Description

Compute the value of the Fourier summation series $$f(x) = \frac{a_0}{2} + \sum_{k=1}^{p_a} a_k \cos{(\frac{2\pi}{T}k(x-t_0))} + \sum_{k=1}^{p_b} b_k \sin{(\frac{2\pi}{T}k(x-t_0))}, \qquad x\in[t_0,t_0+T]$$ at some certain point(s).

Usage

FourierSeries2fun(object, x)
# S4 method for Fourier_series,numeric
FourierSeries2fun(object, x)

Value

A numeric atomic vector

Arguments

object

an object of Fourier_series class.

x

Value of \(x\).

Author

Heyang Ji

Examples

fsc = Fourier_series(
           double_constant = 0.5,
           cos = c(0,0.3),
           sin = c(1,0.7),
           k_cos = 1:2,
           )
          FourierSeries2fun(fsc,1:5)