FORSIN

The FORSIN function evaluates a Fourier sine series at a specific value $x$ .

Format

$Forsin (x, x_{0}, ω, c_{0}, c_{1}, \dots, c_{30})$

Arguments

$x$: The independent variable. For example, to specify time as the independent variable, specify $x$ as TIME.
$x_{0}$: The shift in the Fourier sine series.
$ω$: The fundamental frequency of the Fouries series. It is assumed to be specified in radians per unit of $x$ unless a D is used after the value.
$c_{0}$: The constant bias term.
$c_{1}, c_{2}, \dots, c_{30}$: The coefficients for the Fourier Sine series.

Definition

(1)

\begin{array}{l} Forsin = c_{0} + \sum_{i = 1}^{N} c_{i} S_{i} (x - x_{0}) \\ where, \\ S_{i} (x - x_{0}) = \sin (i ω (x - x_{0})) and \\ N = Number of terms in the series (N \leq 30) \end{array}

Example

<Post_Request
     comment             = "WM-WDTM-HAVSIN-FORSIN-DIM-ACOS"
     id                  = "3"
     type                = "EXPRESSION"
     expr1               = "NULL"
     expr2               = "WM(30102010)"
     expr3               = "WDTM(30102010)"
     expr4               = "HAVSIN(TIME,1.,0.,4.,1.)"
     expr5               = "NULL"
     expr6               = "FORSIN(TIME,0.1,6.28,0.1,0.2)"
     expr7               = "DIM(TIME,1.0)"
     expr8               = "ACOS(COS(TIME))"
/>