LinearSystems::LowpassToBandstop Function

LinearSystems Namespace

Overload List

#SignatureDescription
1void LowpassToBandstop(TVec *z, TVec *p, double &k, double CenterFreq, double BW);Frequency transformation from a lowpass to a bandstop filter in s-domain.
2void LowpassToBandstop(TMtx *a, TVec *b, TVec *c, double &D, double CenterFreq, double BW);Convert a lowpass filter prototype in state space form to a bandstop filter.

Overload 1: void LowpassToBandstop(TVec *z, TVec *p, double &k, double CenterFreq, double BW);

Frequency transformation from a lowpass to a bandstop filter in s-domain.

#NameTypeDescription
1zTVec *
2pTVec *
3kdouble &
4CenterFreqdouble
5BWdouble
Remarks:

Transform a lowpass filter prototype in zero-pole form to a bandstop filter, where the stopband has width BW centered around the frequency CenterFreq. Assumed sampling frequency is 2. The transformation is defined as ([1], p. 258): s -> (s (W_u - W_l))/(s^2 + W_u W_l)

Wl - lower cutoff frequency
Wu - upper cutoff frequency

The routine also adds pairs of zeros at +/-j*CenterFreq, if the number of zeros is less then number of poles, to match the number of poles.

References:

[1] Theory and application of digital signal processing, Lawrence R. Rabiner and Bernard Gold. Prentice-Hall, 1975

Declared in Dew::Signal::Units::LinearSystems · Dew.Signal/Units.LinearSystems.h · Cross-compiler

Overload 2: void LowpassToBandstop(TMtx *a, TVec *b, TVec *c, double &D, double CenterFreq, double BW);

Convert a lowpass filter prototype in state space form to a bandstop filter.

#NameTypeDescription
1aTMtx *
2bTVec *
3cTVec *
4Ddouble &
5CenterFreqdouble
6BWdouble
See Also: LinearSystems::LowpassToLowpass, LinearSystems::LowpassToBandpass, LinearSystems::LowpassToHighpass, LinearSystems::LowpassToLowpassZ, LinearSystems::LowpassToBandpassZ, LinearSystems::LowpassToBandstopZ, LinearSystems::LowpassToHighpassZ
Declared in Dew::Signal::Units::LinearSystems · Dew.Signal/Units.LinearSystems.h · Cross-compiler