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Time-frequencyresponsesofsecondorderparametricsections
4.CONCLUSIONS
19
Themethodofmagnitudeandphaseresponsedeterminationpresentedinthis
paperrequiresaclosedformofimpulseresponseofasection.Themethodhas
beenusedforfrequencycharacteristiccalculationforthesecondorderlow-pass
LTVsectionwithexponentiallyvaryingparameters.
Thefrequencyresponseofnon-stationarysystemsisdefinedasFourier
transformofimpulseresponseanditisnotonlythefrequencyfunction(asincase
ofstationarysystems)butitisatime-frequencyfunction.Becauseofdifficulty
connectedwithfrequencyanalysisofLTVsystems,approximatemethodoftime-
frequencyfunctionvaluesdeterminationshouldbeenconsidered.Thosefunctions
arenecessarytodescribespectralpropertiesofparametricsystems.
REFERENCES
[1]
BelmontM.R,MatthewsJ.J:Generalizedfrequencyresponseasappliedtocircuits
withtimevaryingelements,IEEProc.CircuitsDevicesandSystems.vol.142,Issue,
Aug.1995,pp:217-222.
[2]
D’AngeloH:LinearTime-VaryingSystems.AnalysisandSynthesis,Allynand
Bacon,Inc.Boston,1970.
[3]
KaszyńskiR.:Low-passandsignalconstantcomponentfilterswithtimevarying
parameters,Wyd.NaukowePol.Szczecińskiej,Szczecin2001(inPolish).
[4]
PetersS.D.,FahrnyM.M.:Adesigntechniqueforrecursivelineartime-varying
digitalfilters,IEEEInt.Symp.CircuitsandSystems,vol.1,Ontario,Canada1998,
pp.779-782.
[5]
PolyaninA.D.,ZaitsevV.F.:HandbookofExactSolutionsforOrdinaryDifferential
Equations,2
ndEdition,Chapman&Hall/CRC,BocaRaton,2003.
[6]
RomanowskaA,WalczakJ.:FrequencyresponsesofthefirstorderLTVsections,
in:Conf.SPETO’2007,pp:155-156.
[7]
TaftW.A.:Spectralanalysisofnonstacionarycircuitsandsystems,EnergyMoscow,
1978,pp.82-88.
[8]
WalczakJ.RomanowskaA.:Generalizedfirstorderparametricsections,in:Conf.
ICSPETO’2006,pp:293-296.
[9]
WalczakJ.,RomanowskaA.:FrequencyresponsesofthefirstorderLTVsection
withexponentiallyvaryingparameter,in:Conf.ZKwE’2007,pp:89-90.
[10]
WalczakJ.,RomanowskaA.:SecondorderparametricsectionsZKwE’2006
Monograph,Poznań2006,pp:27-40.
[11]
WalczakJ.,RomanowskaA.:Secondorderparametricsectionswhitatime-varying
attenuationradioZeszytyElektryka,Gliwice2007(inpolish/inreprint).
[12]
WalczakJ.,RomanowskaA.:Secondorderparametricsectionswithbothvarying
parametersConf.ICSPETO’2007,pp.107-109(shorttext),CDNo.054(fulltext).
[13]
WalczakJ.,RomanowskaA.:AnalysisofsecondorderLTVsectionwith
exponentiallyvaryingparameters,in:Conf.CPEE2007(inredaction).
