LinearSystems Unit

Summary

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

Routines

Name	Summary
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.
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.
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.
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 Freq is the cutoff frequency of the new 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.
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	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.
ZeroPoleToStateSpace	Convert transfer function from zero-pole to state-space form.
ZeroPoleToTransferFun	Convert transfer function from zero-pole to numerator-denominator form.