Triangular

Triangular waveform generator with configurable amplitude and frequency.

Produces a continuous triangular wave signal that oscillates between -amplitude and +amplitude values. The triangular wave is generated using modulo arithmetic on the time variable, creating a periodic signal with the specified frequency. The component begins generating the waveform only after the start_time is reached; before that point, it outputs the offset value. The period of the wave is automatically calculated as the inverse of the frequency.

This component extends from Signal

Usage

BlockComponents.Triangular(start_time=0.0, offset=0.0, amplitude, frequency, period=1 / frequency)

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	Maximum amplitude of the triangular wave	–
frequency	Frequency of the triangular wave	Hz

Connectors

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

Behavior

$$\begin{array}{rl}y\left(t\right)& =ifelse(\mathtt{start}\mathtt{\_}\mathtt{time}<t,-\mathtt{amplitude}+4\mathtt{amplitude}\mathtt{frequency}|-\frac{1}{2}\mathtt{period}+\left|mod(-\frac{1}{4}\mathtt{period}-\mathtt{start}\mathtt{\_}\mathtt{time}+t,\mathtt{period})\right||,\mathtt{offset})\end{array}$$

Source

# Triangular waveform generator with configurable amplitude and frequency.
#
# Produces a continuous triangular wave signal that oscillates between -amplitude and
# +amplitude values. The triangular wave is generated using modulo arithmetic on the
# time variable, creating a periodic signal with the specified frequency. The component
# begins generating the waveform only after the start_time is reached; before that point,
# it outputs the offset value. The period of the wave is automatically calculated as the
# inverse of the frequency.
component Triangular
  extends Signal
  # Maximum amplitude of the triangular wave
  parameter amplitude::Real
  # Frequency of the triangular wave
  parameter frequency::Frequency
  # Period of the triangular wave, calculated as inverse of frequency
  final parameter period::Period = 1 / frequency
relations
  y = ifelse(start_time < time, 4 * amplitude * frequency * abs(abs(mod(time - period / 4 - start_time, period)) - period / 2) - amplitude, offset)
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://BlockComponents/Triangular.svg"}
  }
}
end

Flattened Source

# Triangular waveform generator with configurable amplitude and frequency.
#
# Produces a continuous triangular wave signal that oscillates between -amplitude and
# +amplitude values. The triangular wave is generated using modulo arithmetic on the
# time variable, creating a periodic signal with the specified frequency. The component
# begins generating the waveform only after the start_time is reached; before that point,
# it outputs the offset value. The period of the wave is automatically calculated as the
# inverse of the frequency.
component Triangular
  # 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
  # Maximum amplitude of the triangular wave
  parameter amplitude::Real
  # Frequency of the triangular wave
  parameter frequency::Frequency
  # Period of the triangular wave, calculated as inverse of frequency
  final parameter period::Period = 1 / frequency
relations
  y = ifelse(start_time < time, 4 * amplitude * frequency * abs(abs(mod(time - period / 4 - start_time, period)) - period / 2) - amplitude, offset)
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://BlockComponents/Triangular.svg"}
  }
}
end

Test Cases

No test cases defined.

Related

• Examples

• Experiments

• Analyses

• Tests

  • TriangularTest