Cosine

Generates a cosine wave with configurable parameters.

A signal generator that produces a cosine wave with the equation

$$y(t)=offset+amplitude\cdot \cos (2\pi \cdot frequency\cdot (t-start\mathrm{\_}time)+phase)$$

when time exceeds start_time, otherwise outputs the offset value. The component allows setting the wave's amplitude, frequency, phase shift and vertical offset.

This component extends from Signal

Usage

BlockComponents.Cosine(start_time=0.0, offset=0.0, amplitude, frequency, phase=0.0)

Parameters:

Name	Description	Units	Default value
start_time	Time at which the signal starts changing from its offset value	s	0
offset	Constant value added to the signal output	–	0
amplitude	The peak value of the cosine wave	–
frequency	The number of cycles per second	Hz
phase	The phase shift of the cosine wave in radians	rad	0

Connectors

• y - This connector represents a real signal as an output from a component (RealOutput)

Behavior

$$\begin{array}{rl}y\left(t\right)& =\mathtt{offset}+\mathtt{amplitude}ifelse(t\ge \mathtt{start}\mathtt{\_}\mathtt{time},\cos (\mathtt{phase}+6.2832\mathtt{frequency}(-\mathtt{start}\mathtt{\_}\mathtt{time}+t)),\cos \left(\mathtt{phase}\right))\end{array}$$

Source

"""
Generates a cosine wave with configurable parameters.

A signal generator that produces a cosine wave with the equation

math y(t) = offset + amplitude \cdot \cos(2\pi \cdot frequency \cdot (t-start_time) + phase)

when time exceeds start_time, otherwise outputs the offset value. The component allows setting
the wave's amplitude, frequency, phase shift and vertical offset.
"""
component Cosine
  extends Signal
  "The peak value of the cosine wave"
  parameter amplitude::Real
  "The number of cycles per second"
  parameter frequency::Frequency
  "The phase shift of the cosine wave in radians"
  parameter phase::Angle = 0.0
relations
  y = offset + amplitude * ifelse(time >= start_time, cos(2 * π * frequency * (time - start_time) + phase), cos(phase))
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://BlockComponents/Cosine.svg"}
  }
}
end

Flattened Source

"""
Generates a cosine wave with configurable parameters.

A signal generator that produces a cosine wave with the equation

math y(t) = offset + amplitude \cdot \cos(2\pi \cdot frequency \cdot (t-start_time) + phase)

when time exceeds start_time, otherwise outputs the offset value. The component allows setting
the wave's amplitude, frequency, phase shift and vertical offset.
"""
component Cosine
  "Real-valued output connector for the component"
  y = RealOutput() {
    "Dyad": {
      "placement": {
        "icon": {"iconName": "default", "x1": 1000, "y1": 450, "x2": 1100, "y2": 550, "rot": 0},
        "diagram": {"iconName": "default", "x1": 1000, "y1": 450, "x2": 1100, "y2": 550, "rot": 0}
      }
    }
  }
  "Time at which the signal starts changing from its offset value"
  parameter start_time::Time = 0.0
  "Constant value added to the signal output"
  parameter offset::Real = 0.0
  "The peak value of the cosine wave"
  parameter amplitude::Real
  "The number of cycles per second"
  parameter frequency::Frequency
  "The phase shift of the cosine wave in radians"
  parameter phase::Angle = 0.0
relations
  y = offset + amplitude * ifelse(time >= start_time, cos(2 * π * frequency * (time - start_time) + phase), cos(phase))
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://BlockComponents/Cosine.svg"}
  }
}
end

Test Cases

No test cases defined.

Related

• Examples

• Experiments

• Analyses

• Tests

  • CosineTest