Generates a hyperbolic cotangent series in accordance with the specified parameters.
GCOTH(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 |
frequency |
- |
Optional. A real, the frequency specified in radians. Defaults to 1. |
phase |
- |
Optional. A real, the phase specified in radians. Defaults to 0. |
A series.
gcoth(100,0.1,2,5)
creates a hyperbolic cotangent series of 100 points spaced 0.1 x-units apart. This series is also be shifted by five units (the offset value) on the x-axis, and compressed by a factor of 2.
The formula used to generate each point, n, in the series is as follows:
y[n] = 1/TANH(frequency • spacing • (n-1) + phase)