Università Roma Tre

Mathematical tools for circuit analysis: Laplace transform. Z-transform. Fourier transform. Fourier series. Expression of canonical signals in terms of the main transform. Power of a periodic signal.
Graph theory. Analysis to potential node and the meshes. Current and voltage equations for tree and co-tree. Additional considerations on the Tellegen's theorem. State equation and natural modes of an electric circuit.
Network theorems. Substitution theorem. Expression of the solution of a linear electric network using convolution integral. Thevenin's theorem. Superposition. Lorentz reciprocity. Theorem of Reciprocity. Notes on the two-ports and on the reciprocity theorem applied to the two-ports.
ransmission lines . Distributed parameter circuits . Scattering parameters and Smith chart .
Circuits for the signal processing . Passive filters . Approximation to Butterworth , the Chebicev , the Bessel - Thomson . Synthesis of passive filters . Active RC - filters . Sensitivity of an electric network by realization parameters . Realisation of filters by means of switching circuits ( discrete time ).
Outline of nonlinear circuits. Nonlinear circuits for signal processing. Nonlinear circuits for DC / AC conversion.
Circuit computer simulation .

Course notes