Dirichlet (FPScript)
Calculates the Dirichlet function, i.e. the periodic sinc function.
Syntax
Dirichlet(Angle, n)
The syntax of the Dirichlet function consists of the following parts:
Part |
Description |
|---|---|
Angle |
The angle in radians. All data structures are allowed. All numeric data types are permitted. If the argument is a list, then the function is executed for each element of the list and the result is also a list. |
n |
The parameter n of the Dirichlet function. Permitted data structures are scalar value. All integral data types are permitted. The value must be greater or equal to 1. If the argument is a list, then the first element in the list is taken. If this is also a list, then the process is repeated. |
Remarks
The data type of the result is always 64-bit floating point.
The structure of the result corresponds to that of the argument Angle. The calculation is done element-by-element where appropriate.
The result has the unit 1, if Angle has a unit. Otherwise, it has no unit.
For aggregate data structures, only the Y component is calculated.
The function is defined as -1k( for Angle = 2πk, k=0, ±1, ±2, ... and as Sin(n * Angle / 2) / (n * Sin(Angle / 2)) otherwise.
The following illustration shows the course of the function in the interval [-4π, 4π] for different n values:
Available in
FlexPro Basic, Professional, Developer Suite
Examples
Dirichlet(0, 2) |
Results in 1. |
Dim x |
Calculates a signal with the function course using n = 2 in the interval [-4π, 4π]. |