This is the EE44 Circuits and Systems course at California Institute of Technology.
Modeling of physical systems by conversion to mathematical abstractions with an emphasis on electrical systems. Introduction to deterministic methods of system analysis, including matrix representations, time-domain analysis using impulse and step responses, signal superposition and convolution, Heaviside operator solutions to systems of linear differential equations, transfer functions, Laplace and Fourier transforms.
The course emphasizes examples from the electrical circuits (e.g., energy and data converters, wired and wireless communication channels, instrumentation, and sensing) , while providing some exposure to other selected applications of the deterministic analysis tool (e.g., public opinion, acoustic cancellation, financial markets, traffic, drug delivery, mechanical systems, news cycles, and heat exchange).
Instructor: Hajimiri.
Course Features
- Lectures 39
- Quizzes 0
- Duration Lifetime access
- Skill level All levels
- Students 24148
- Certificate No
- Assessments Yes
-
Circuits Fundamentals
-
Nodal Analysis and Mesh Analysis
- Nodal Analysis: Ground, Y-Matrix, Node Voltage & Stimulus Vectors, Linear Algebra, Determinant
- Nodal Analysis: Examples, Dependent Sources, Existence of a Solution
- Nodal Analysis (cont.): Nodal Analysis, Dependent Sources, with Voltage Sources, Super Nodes
- Mesh Analysis & Diode Circuits: Mesh Analysis, 3D Networks, Super Mesh, Diode Circuit Design
-
Circuit Theorems
-
Active Circuits and Singularity Functions
-
Functions, Systems and Response
-
Heavyside Operator
- Heaviside Operator: Introduction, Basic Examples
- Heaviside Operator: Low-Pass Operator, High-Pass Operator, Solving Differential Equations
- Heaviside Operator: Circuit Examples
- Heaviside Operator: Nodal Analysis Examples, Order of System, Oscilloscope Probe
- Impulse Response of 2nd Order System: Complex Numbers, Real Poles, Underdamped and Over-damped Response, Real and Complex Conjugate Roots
- Heaviside Operator: Partial Fraction Expansion (PFE), Example
- Heaviside Operator: Partial Fraction Expansion (PFE) with Multiple Roots, Example
- Heaviside Operator: Operator Catalog, Solving Differential Equation Directly, Examples
- Heaviside Operator: Time Delay, Convolution, Example
- Heaviside Operator: Operator Catalog Review, Convolution Example
- Heaviside Operator: Initial Conditions
-
System Function, Stability & Laplace Transform
-
Bode Plot
-
Fourier Series and Fourier Transform
-
Time and Transfer Constants, Two Port Network, Summary
-
Summary
