Bias Icon

`Mathematical.Bias`

Bias

A component that adds a constant bias (offset) to the input signal.

Description

The Bias block adds a constant offset to input u. The output y is defined as: y = u + bias.

Variables

u(t): Input signal
y(t): Output signal (u plus bias)
bias: Parameter - the constant value added to the input

Examples

u = 5, bias = 2 → y = 7
u = -3, bias = 1.5 → y = -1.5
u = 0, bias = -4 → y = -4

This component extends from BlockComponents.SISO

Usage

PrimitiveComponents.Mathematical.Bias(bias)

Parameters:

Name	Description	Units	Default value
`bias`		–

Connectors

u - This connector represents a real signal as an input to a component (RealInput)
y - This connector represents a real signal as an output from a component (RealOutput)

Behavior

\[ \begin{align} y\left( t \right) &= \mathtt{bias} + u\left( t \right) \end{align} \]

Source

"""
    Bias

A component that adds a constant bias (offset) to the input signal.

# Description
The Bias block adds a constant offset to input `u`.
The output `y` is defined as: y = u + bias.

# Variables
- `u(t)`: Input signal
- `y(t)`: Output signal (u plus bias)
- `bias`: Parameter - the constant value added to the input

# Examples
- u = 5,   bias = 2   → y = 7
- u = -3,  bias = 1.5 → y = -1.5
- u = 0,   bias = -4  → y = -4
"""
component Bias
  extends BlockComponents.SISO
  parameter bias::Real
relations
  y = u + bias
metadata {
  "Dyad": {
    "experiments": {},
    "tests": {},
    "labels": [
      {
        "label": "$(instance)",
        "x": 500,
        "y": 1100,
        "rot": 0,
        "layer": "icon",
        "attrs": {}
      }
    ],
    "icons": {"default": "dyad://PrimitiveComponents/Bias.svg"},
    "path": {},
    "doc": {"behavior": true}
  }
}
end

Flattened Source

"""
    Bias

A component that adds a constant bias (offset) to the input signal.

# Description
The Bias block adds a constant offset to input `u`.
The output `y` is defined as: y = u + bias.

# Variables
- `u(t)`: Input signal
- `y(t)`: Output signal (u plus bias)
- `bias`: Parameter - the constant value added to the input

# Examples
- u = 5,   bias = 2   → y = 7
- u = -3,  bias = 1.5 → y = -1.5
- u = 0,   bias = -4  → y = -4
"""
component Bias
  "Input signal port"
  u = RealInput() {
    "Dyad": {
      "placement": {
        "icon": {"iconName": "input", "x1": -100, "y1": 450, "x2": 0, "y2": 550, "rot": 0},
        "diagram": {"iconName": "input", "x1": -100, "y1": 450, "x2": 0, "y2": 550, "rot": 0}
      }
    }
  }
  "Output signal port"
  y = RealOutput() {
    "Dyad": {
      "placement": {
        "icon": {"iconName": "output", "x1": 1000, "y1": 450, "x2": 1100, "y2": 550, "rot": 0},
        "diagram": {"iconName": "output", "x1": 1000, "y1": 450, "x2": 1100, "y2": 550, "rot": 0}
      }
    }
  }
  parameter bias::Real
relations
  y = u + bias
metadata {
  "Dyad": {
    "labels": [
      {
        "label": "$(instance)",
        "x": 500,
        "y": 1100,
        "rot": 0,
        "layer": "icon",
        "attrs": {}
      }
    ],
    "experiments": {},
    "tests": {},
    "icons": {"default": "dyad://PrimitiveComponents/Bias.svg"},
    "path": {},
    "doc": {"behavior": true}
  }
}
end

Test Cases

No test cases defined.

Examples
Experiments
Analyses