Circuit Analysis for Analog Designers

Week 1: Motivation for the topics covered in the course, review of linearity and time-variance, Review of electrical network basics, incidence matrix, Tellegen's theorem, Tellegen's theorem (cntd), its use to prove reciprocity in bilatera

Week 2: Reciprocity in networks with controlled sources (contd), inter-reciprocal networks, Modified Nodal Analysis (MNA) formulation to write network equations

Week 3: MNA formulation (contd), MNA stamps of circuit elements, Reciprocity and inter-reciprocity revisited, Reciprocity and inter-reciprocity (contd), the adjoint network, Introduction to analog filtering, the Butterworth approximation

Week 4:Butterworth filters (continued), opamp-RC realization of filters, Biquadratic sections using opamp-RC integrators, frequency and impedance scaling

Week 5: Cascade of biquads realization of high-order filters, dynamic-range scaling ,Effect of non-ideal opamps on integrator behaviour, Q-enhancement in biquads due to finite opamp gain-bandwidth product

Week 6: Transconductance-capacitance filters, Introduction to noise in electronic circuits, Noise in RLC circuits, Nyquist's theorem, Bode's Noise Theorem

Week 7: Bode's noise theorem (contd), input referred noise sources in networks, Input-referred noise sources (contd) - equivalent noise voltage and current sources, Equivalent noise sources, noise factor

Week 8: Introduction to distributed networks, the ideal transmission line and Telegrapher's equations, Transmission line circuit analysis, the reflection coefficient, open- and short-circuited lines

Week 9: The Smith chart (introduction), the need for scattering parameters, Scattering matrices of simple elements, Scattering matrices properties, measurement of a one-port

Week 10: Scattering matrices (contd), the vector network analyzer, principle behind calibration, Weak nonlinearity in electronic circuits, harmonic distortion, HD2 and IM2

Week 11: Harmonic distortion (contd), third-order distortion and intermodulation, Analysis of weak nonlinearities in circuits using the method of current injection, Method of current-injection (contd), application to analysis of distortion in a negative feedback system

Week 12: Course summary and recap