GCOT

Purpose:

Generates a cotangent series in accordance with the specified parameters.

Syntax:

GCOT(length, spacing, frequency, phase)

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 cycles per second (Hertz). Defaults to 1.

phase

-

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

Returns:

A series.

Example:

gcot(100, 0.1, 2, 5)

 

creates a cotangent series of 100 points spaced 0.1 x-units apart resulting in 20 cycles in the series. The series is also be shifted by five units (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] = 1/TAN(2π • frequency • spacing • (n-1) + phase)

See Also:

COT

TRIGNOMETRIC FUNCTION GENERATORS