Table of Contents

Second-Order Low-Pass Filter

Models, in the continuous-time domain, a second-order low-pass filter characterized by a cut-off frequency and a damping ratio.

Library

QUARC Targets/Continuous

Description

The Second-Order Low-Pass Filter block models, in the continuous-time domain, a second-order low-pass filter characterized by a cut-off frequency and a damping ratio. This block supports vector input signals and can have its filter Cut-off frequency, Damping ratio and Initial condition parameters set either internally using its dialog box or externally using input ports. The filtered output is always continuous even after any parameter change (e.g., Cut-off frequency and/or Damping ratio).

The block diagram for this filter is shown below:

where ω_{n} is the cut-off frequency and ζ is the damping ratio.

Input Ports

x

The input signal to the second-order low-pass filter.

wn

This port appears when the Source of parameters is set to `External (input ports)`

, and provides
the cut-off frequency (in radians per second, i.e., rad/s) of the second-order low-pass filter.

zt

This port appears when the Source of parameters is set to `External (input ports)`

, and provides
the damping ratio of the second-order low-pass filter.

x0

This port appears when the Source of parameters is set to `External (input ports)`

, and provides
the input signal initial condition to the second-order low-pass filter.

Output Ports

y

The (filtered) output signal from the second-order low-pass filter.

yd

The time-derivative of the output signal from the second-order low-pass filter.

Data Type Support

The block outputs are of type `double`

.

Parameters and Dialog Box

Source of parameters

The source of the continuous filter Cut-off frequency,
Damping ratio and Initial condition parameters is determined
by this field to be
to be `Internal (dialog parameter)`

or `External (block inputs)`

.

Cut-off frequency (rad/s) (tunable online)

This parameter sets the cut-off frequency (in radians per second, i.e., rad/s) of the second-order low-pass filter.

Damping ratio (tunable online)

This parameter sets the damping ratio of the second-order low-pass filter.

Initial condition (tunable offline)

This parameter sets the initial condition of the second-order low-pass filter.

Targets

Target |
Supported |
Model Referencing |
Comments |
---|---|---|---|

QUARC Windows (32-bit) Target |
Yes |
Yes |
Fully supported. |

QUARC Windows (64-bit) Target |
Yes |
Yes |
Fully supported. |

QUARC QNX x86 Target |
Yes |
Yes |
Fully supported. |

QUARC Linux Verdex Target |
Yes |
Yes |
Fully supported. |

Rapid Simulation (RSIM) Target |
Yes |
Yes |
Fully supported. |

S-Function Target |
No |
N/A |
Old technology. Use model referencing instead. |

Normal simulation |
Yes |
Yes |
Fully supported. |

See Also

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