EE 44: Circuits and Systems

EE 44: Circuits and Systems (Caltech). Instructor: Professor Ali Hajimiri. Fundamentals of circuits and network theory, circuit elements, linear circuits, terminals and port presentation, nodal and mesh analysis, time-domain analysis of circuits and systems, sinusoidal response, introductory frequency domain analysis, transfer functions, poles and zeros, time and transfer constants, network theorems, transformers.

30. Intro to Network Synthesis, Complex Impedance

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01. Circuits Fundamentals: Definitions, Graph Properties, Current & Voltage, Power & Energy
02. Circuits Fundamentals: Passivity and Activity, KCL and KVL, Ideal Sources
03. Circuits Fundamentals: Resistance, Ohm's Law, Linearity, Time-variance, Diode Circuits
04. Nodal Analysis: Ground, Y-Matrix, Node Voltage & Stimulus Vectors, Linear Algebra, Determinant
05. Nodal Analysis: Examples, Dependent Sources, Existence of a Solution
06. Nodal Analysis (cont.): Nodal Analysis, Dependent Sources, with Voltage Sources, Super Nodes
07. Mesh Analysis & Diode Circuits: Mesh Analysis, 3D Networks, Super Mesh, Diode Circuit Design
08. Circuit Theorems: Superposition, Thevenin, Norton, Source Transformation, Network Equivalence
09. Circuit Theorems: Source Transportation, Substitution Theorem, Maximum Power Transfer, Y-Delta
10. Active circuits: Op-Amp, Feedback, Asymptotic Equality, Inverting and Noninverting Amplifiers
11. Singularity Functions: Introduction, Unit Step, Pulse, and Dirac Delta (Impulse) Functions
12. Linear Systems: Dirac Delta, Sifting Property, Impulse Response, LTI, Convolution
13. Linear Systems: Convolution, Examples of System Response, Convolution Examples
14. Time-Domain Response: Capacitors and Inductors, RC Response, General 1st-Order System
15. Time Domain Response: RC Step and Impulse Response
16. Heaviside Operator: Introduction, Basic Examples
17. Heaviside Operator: Low-Pass Operator, High-Pass Operator, Solving Differential Equations
18. Heaviside Operator: Circuit Examples
19. Heaviside Operator: Nodal Analysis Examples, Order of System, Oscilloscope Probe
20. Impulse Response of 2nd Order System: Complex Numbers, Real Poles, Underdamped and Over-damped Response, Real and Complex Conjugate Roots
21. Heaviside Operator: Partial Fraction Expansion (PFE), Example
22. Heaviside Operator: Partial Fraction Expansion (PFE) with Multiple Roots, Example
23. Heaviside Operator: Operator Catalog, Solving Differential Equation Directly, Examples
24. Heaviside Operator: Time Delay, Convolution, Example
25. Heaviside Operator: Operator Catalog Review, Convolution Example
26. Heaviside Operator: Initial Conditions
27. System Function: Forced and Natural Response, Poles and Zeros, Time Domain View, Laplace Transform
28. Stability: Definition, Criterion, Poles Location, Routh-Hurwitz Method
29. Laplace Transform Summary: Definition, Properties
30. Intro to Network Synthesis, Complex Impedance
31. Sinusoidal Drive, Phasor Notations, Cascaded Systems, Intro to Bode Plot
32. Bode Plot: Properties, Poles and Zeros, Resonance (2nd Order Peaking)
33. Fourier Series and Fourier Transform: Intro, Basic Derivation
34. Fourier Transform: Spectrum, Time and Frequency Duality, Impulse, Sinc, Box
35. Fourier Transform: Modulation
36. Fourier Transform: Sampling
37. Time and Transfer Constants: Brief Introduction
38. Two-Port Networks: An Introduction
39. Course Brief Final Summary