15-2DefinitionoftheLaplaceTransform 1.DefinitionGivenafunctionf(t),itsLaplacetransform,denotedbyF(s)orL[f(t)],isgivenby L[f(t)]F(s)f(t)estdt0 Eq.(1)Wheresisacomplexvariablegivenby sj TheLaplacetransformisanintegraltransformationofafunctionf(t)fromthetimedomainintothecomplexfrequencydomain,givingF...
chapter15Laplacetransform(英文版课件拉普拉斯变换).ppt,If If uC(0-)=0, find uC(t). Example: Solution: 15.10 summary Example1: The transfer function H(jω)=(2jω+3)/(-ω2+3jω+2),when the input excitation is e-t, find the zero-state response. Solution : We
Forward Laplace Transform Decompose a signal f(t) into complex sinusoids of the form es t where s is complex: s = s + j2pf Forward (bilateral) Laplace transform f(t): complex-valued function of a real variable t F(s): complex-valued function of a complex variable s Bilateral means th...
A method for the exact computation of long-line fault transients is presented. The use of a numerical inverse Laplace transform algorithm makes it possible to analyze faults on lines of any length, while the derivation of the equations i... AS Al-Fuhaid,MM Saied - 《IEEE Transactions on Po...
Generalisation of the Dirac-delta impulse extending Laplace and z transform domains[J].IEE Proc-Vis Image Signal Process,2003,(02):69-81.Corinthios M J. Generalisation of the D irac - delta impulse extending Lap lace and z transform domains[ J ]. IEE Proc - V is Image Signal Process, ...