Hyperbolic function

| Vector | C |
in the palette on the schematic
The block is vectorized. The block returns the output value calculated by the following algorithm:

where k, ε – gain coefficient and additional term for denominator respectively; x(t), y(t) – input and output signals respectively.

Inputs

  • input - the port for the function argument input.

Outputs

  • output - the port of the function value.

Properties

  • Numerator – coefficient k.
  • Denominator minimum value – coefficient ε.
Properties can be vectors whose dimensions must be equal to the dimension of the input, in this case, the output will also be a vector.

Parameters

none

Note:
  1. By default, this block implements a hyperbolic transformation of the input signal (scalar or vector) with coefficients k=1, ε=10-5.
  2. Named properties can be set as local model variables (or submodels) in a programming language script, as global project signals using the Tools → Signals main menu item, or as external project signals using an attachable signal database.