Linear Networks and Systems

03 DEGREES AINVRS associated directed graph C₁ C₂ capacitor capacitor voltage Chapter circuit compute convolution convolution theorem current source cutset defined depicted in Figure determine differential equation directed graph DOUBLE PRECISION edges elements equivalent network EXAMPLE f-circuits f-cutset F(jw f₁(t Fourier coefficients Fourier series Fourier transform function f(t given graph G H(jw i₁ incidence matrix inductor inductor current initial conditions input integral inverse Laplace transform linear loop loop currents magnitude network of Figure node obtain OMEGA output periodic signal phase plot poles presented in Figure Property R₁ RADS/S rational function rectangular pulse resistor resolvent matrix resulting S₁ sequence shown in Figure signal f(t solution state-transition matrix subroutine T₁ theorem tree truncated Fourier series two-port two-port network unit impulse V₁ V₁(t V₂ values variables vector voltage source waveform waveform of Figure zero zero-input response zero-state response ᎠᏴ