LinearSystems Namespace

Utility routines for managing linear systems.

Conversion routines between different representations of the transfer function, frequency transformations and bilinear transform.

Topics

Name	Description
Functions	The following table lists functions in this documentation.

Functions

	Name	Description
	Bilinear	Apply bilinear transform to a linear system represented in state-space form.
	Bilinear	Compute bilinear transformation.
	BilinearPrewarp	Returns prewarped frequency according to the bilinear transform.
	BilinearUnwarp	Return unwarped frequency according to the bilinear transform.
	ComputeGain	Returns gain of a filter with zeroes in z and poles in p.
	ComputeGain	Returns gain of a filter with zeroes in z and poles in p.
	LowpassToBandpass	Convert a lowpass filter prototype in state space form to a bandstop filter.
	LowpassToBandpass	Frequency transformation from a lowpass to a bandpass filter in s-domain.
	LowpassToBandpassZ	Apply frequency band transformation from lowpass to bandpass in the z-domain.
	LowpassToBandpassZ	The function returns modified z (zeros), p (poles) and k (gain).
	LowpassToBandstop	Convert a lowpass filter prototype in state space form to a bandstop filter.
	LowpassToBandstop	Frequency transformation from a lowpass to a bandstop filter in s-domain.
	LowpassToBandstopZ	Apply frequency band transformation from lowpass to bandstop in the z-domain.
	LowpassToBandstopZ	The function returns modified z (zeros), p (poles) and k (gain).
	LowpassToHighpass	Transform a lowpass filter prototype in state space form to highpass filter.
	LowpassToHighpass	Frequency transformation from a lowpass to a highpass filter in s-domain.
	LowpassToHighpassZ	Apply frequency band transformation from lowpass to highpass in the z-domain.
	LowpassToHighpassZ	The function returns modified z (zeros), p (poles) and k (gain).
	LowpassToLowpass	Transform a lowpass filter prototype in state space form to a lowpass filter.
	LowpassToLowpass	Frequency transformation from a lowpass to a lowpass filter in s-domain.
	LowpassToLowpassZ	Apply frequency band transformation from lowpass to lowpass in the z-domain.
	LowpassToLowpassZ	The function returns modified z (zeros), p (poles) and k (gain).
	LTIZeros	Find zeros of a linear time invariant system in state-space form.
	MatchedZTransform	Transform the zeros and poles of a filter in s-domain to z-domain.
	RationalSubstitution	Zeroes of the original polynomial are stored in z and poles in p vector.
	RationalSubstitution	Replace the variable of a rational polynomial with another rational polyniomial.
	StateSpaceToTransferFun	Convert transfer function from state-space to numerator-denominator form.
	StateSpaceToZeroPole	Convert transfer function from state-space to zero-pole form.
	TransferFunToStateSpace	Convert transfer function from numerator-denominator to state-space form.
	TransferFunToZeroPole	Convert transfer function from numerator-denominator to zero-pole form.
	ZeroPoleToSOS	Convert transfer function from zero-pole to second order sections form.
	ZeroPoleToStateSpace	Convert transfer function from zero-pole to state-space form.
	ZeroPoleToTransferFun	Convert transfer function from zero-pole to numerator-denominator form.

Links

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