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SamplingPeriod

is an option to StateSpaceModel etc. that specifies the sampling period.

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SamplingPeriod

SamplingPeriod

is an option to StateSpaceModel etc. that specifies the sampling period.

Details

  • The default setting SamplingPeriod -> Automatic specifies continuous-time systems.
  • SamplingPeriod->τ specifies a discrete-time system with sampling period τ.

Examples

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Basic Examples  (3)

A discrete-time transfer function with sampling period 1:

Wolfram Language code: TransferFunctionModel[(1/z^2 - z + 1), z, SamplingPeriod -> 1]

A discrete-time state-space model with sampling period τ:

Wolfram Language code: StateSpaceModel[{{{0, 2}, {-0.5, -1.3}}, {{0}, {1}}, {{1, 1}}}, SamplingPeriod -> τ]

Specify a numerical value:

Wolfram Language code: % /. τ -> 1.2

A continuous-time system:

Wolfram Language code: StateSpaceModel[{DiagonalMatrix[{-1, -2, -3}], {{1}, {-1}, {0}}, {{1, 1, 1}}}, SamplingPeriod -> None]

Scope  (4)

When no sampling period is given, a continuous-time system is assumed:

Wolfram Language code: TransferFunctionModel[(s/s + a), s]

A discrete-time system:

Wolfram Language code: TransferFunctionModel[(z/z - 1), z, SamplingPeriod -> 1]

The sampling period can be symbolic:

Wolfram Language code: ssd = StateSpaceModel[{{{a}}, {{b}}, {{c}}}, SamplingPeriod -> τ];
Wolfram Language code: ToContinuousTimeModel[ssd]

Some functions accept objects as well as expressions with SamplingPeriod specified as an option:

Wolfram Language code: {NicholsPlot[TransferFunctionModel[(z/z + 0.5), z, SamplingPeriod -> 1]], NicholsPlot[(z/z + 0.5), SamplingPeriod -> 1]}
Wolfram Research (2010), SamplingPeriod, Wolfram Language function, https://reference.wolfram.com/language/ref/SamplingPeriod.html.

Text

Wolfram Research (2010), SamplingPeriod, Wolfram Language function, https://reference.wolfram.com/language/ref/SamplingPeriod.html.

CMS

Wolfram Language. 2010. "SamplingPeriod." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SamplingPeriod.html.

APA

Wolfram Language. (2010). SamplingPeriod. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SamplingPeriod.html

BibTeX

@misc{reference.wolfram_2026_samplingperiod, author="Wolfram Research", title="{SamplingPeriod}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/SamplingPeriod.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_samplingperiod, organization={Wolfram Research}, title={SamplingPeriod}, year={2010}, url={https://reference.wolfram.com/language/ref/SamplingPeriod.html}, note=[Accessed: 12-June-2026]}