Lecture Description
Fourier Series and Fourier Transform. Intro, Basic Derivation
20161122112648EE44
Course Index
- Circuits Fundamentals: Definitions, graph properties, current & voltage, power & energy
- Circuits Fundamental: Passivity and Activity, KCL and KVL, Ideal Sources
- Circuits Fundamentals: Resistance, Ohm's law, linearity, time-variance, diode circuits.
- Nodal Analysis: ground, Y-Matrix, node voltage & stimulus vectors, Linear algebra, determinant
- Nodal Analysis: Examples, dependent sources, existence of a solution
- Nodal Analysis Continued: Nodal analysis, dependent sources, with voltage sources, super nodes
- Mesh Analysis & Diode Circuits: Mesh analysis, 3D networks, super mesh, diode circuit design
- Circuit Theorems: Superposition, Thévenin, Norton, Source Transformation, Network Equivalence
- Circuit Theorems: Source Transportation, Substitution Theorem, Maximum Power Transfer, Y-Delta
- Active circuits: Op-Amp, Feedback, Asymptotic Equality, Inverting and non-inverting amplifiers
- Singularity Functions: Introduction, Unit Step, Pulse, and Dirac Delta (Impulse) Functions
- Linear Systems: Dirac Delta, Sifting Property, Impulse Response, LTI, Convolution
- Linear Systems: Convolution, Examples of System Response, Convolution Examples
- Time-Domain Response: Capacitors and Inductors, RC Response, General 1st-Order System
- Time Domain Response: RC Step and Impulse Response
- 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
- Heaviside Operator: Partial Fraction Expansion (PFE), Example
- Heaviside Operator: 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: Forced and Natural Response, Poles and Zeros, Time Domain View, Laplace Xform
- Stability: Definition, Criterion, Poles Location, South-Hurwitz Method
- Laplace Transform Summary: Definition, Properties
- Intro to Network Synthesis, Complex Impedance,
- Sinusoidal Drive, Phasor Notations, Cascaded Systems, Intro to Bode Plot
- Bode Plot: Properties, Poles and Zeros, Resonance (2nd Order Peaking)
- Fourier Series and Fourier Transform. Intro, Basic Derivation
- Fourier Transform: Spectrum, Time and Frequency Duality, Impulse, Sinc, Box
- Fourier Transform: Modulation
- Fourier Transform: Sampling
- Time and Transfer Constants: Brief Introduction
- Course Brief Final Summary
Course Description
Topics include: fundamentals of circuits and network theory, circuit elements, linear circuits, terminals and port presentation, time-domain response, nodal and mesh analysis, sinusoidal response, introductory frequency domain analysis, transfer functions, poles and zeros, time and transfer constants, network theorems, introduction to state-space.
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