GATANH

Purpose:

Generates a hyperbolic arc-tangent series in accordance with the specified parameters.

Syntax:

GATANH(length, spacing, factor, offset)

length

-

An integer, the length of the output series.

spacing

-

A real, the spacing (delta x) between each point on the x-axis.

frequency

-

Optional. A real, the frequency specified in radians. Defaults to 1.

phase

-

Optional. A real, the phase specified in radians. Defaults to 0.

Returns:

A series.

Example:

gatanh(100, 0.1, 2, 1)

 

creates a hyperbolic arc-tangent series of 100 points spaced 0.1 x-units apart. The series is also be shifted by one unit (the offset value) on the x-axis, and compressed by a factor of 2.

Remarks:

The formula used to generate each point, n, in the series is as follows:

 

y[n] = ATANH(spacing factor (n-1) + offset)

See Also:

ATANH

TRIGNOMETRIC FUNCTION GENERATORS