Circuit Analysis for Analog Designers

About the Course:The course is intended as a gentle introduction for analog, mixed-signal and RF circuit designers to the area of time-varying circuits and systems. The pre-requisites are minimal. After a refresher and building background in linear-time invariant networks, it introduces aspiring analog designers to advanced topics, like inter-reciprocal networks, noise analysis of circuits, transmission lines and distributed circuits, and weak nonlinearities in circuits. INTENDED AUDIENCE: M.Tech/M.S/Ph.D students, advanced undergraduates.PREREQUISITES: Engineering mathematics, a basic course on electric network analysis at the UG level, signals and systems.INDUSTRY SUPPORT: Companies engaged in analog, mixed-signal and RF design.

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 bilateraWeek 2: Reciprocity in networks with controlled sources (contd), inter-reciprocal networks, Modified Nodal Analysis (MNA) formulation to write network equationsWeek 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 approximationWeek 4:Butterworth filters (continued), opamp-RC realization of filters, Biquadratic sections using opamp-RC integrators, frequency and impedance scalingWeek 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 productWeek 6: Transconductance-capacitance filters, Introduction to noise in electronic circuits, Noise in RLC circuits, Nyquist's theorem, Bode's Noise TheoremWeek 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 factorWeek 8: Introduction to distributed networks, the ideal transmission line and Telegrapher's equations, Transmission line circuit analysis, the reflection coefficient, open- and short-circuited linesWeek 9: The Smith chart (introduction), the need for scattering parameters, Scattering matrices of simple elements, Scattering matrices properties, measurement of a one-portWeek 10: Scattering matrices (contd), the vector network analyzer, principle behind calibration, Weak nonlinearity in electronic circuits, harmonic distortion, HD2 and IM2Week 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 systemWeek 12: Course summary and recap