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Solution of Algebraic Equations When Auxiliary Conditions
Calculation and Characterization of Response
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admittance algebraic amplitude appropriate approximation assume asymptotic axis becomes behavior capacitance circuit coefficients complex consider constant construct convolution corresponding cut sets defined denote derivative determine Dirichlet kernel discussed in art elements equal equilibrium equations evaluation excitation expression F(co factor filter finite Fourier series Fourier theory Fourier transform frequency domain G]-matrix given by Eq graph hence Hilbert transform impulse response impulse train inductance infinite input integral integrand inverse involved Laplace transform linear loop currents lowpass matrix method multiplied natural frequencies node basis node-pair voltages nonzero normal coordinate obtain parameter matrices periodic function pertinent phase plot poles polynomial positive prob problem pulse quadratic form rational function realization relations residues response function result right half-plane s-plane sampled shown in Fig sinusoids solution spectrum function terminal pairs topological transfer impedance tree branches unit impulse values variables y'-axis yields zero