Old things (before 2017-Feb)

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Previous presentation / papers

• 2016.11.19 Invited small lecture on CCST9003 Everyday Computing and the Internet, HKU
  Machine Learning in 20 minutes, A super crash course [Slides]

• 2016.11.03 My M.Phil Thesis Defence in HKU
  Non-negative Matrix and Tensor Factorization with Applications to Feature Extraction
  [Slides], [Thesis]

• 2016.10.16 IEEE Conference on Digital Signal Processing
  C2. AMS Ang, YS Hung, ZG Zhang, A Non-negative Tensor Factorization Approach to Feature Extraction for Image Analysis
  [Paper], [Preprint], [A0 Poster], [Post conference experience sharing for the research group meeting]

• 2016.08.17 Advanced Health Informatics, Gordon Research Conference
  Poster presentation on Non-negative Tensor Factorization and Applications [A0 Poster]

• 2015.04.22 International IEEE EMBS Conference on Neural Engineering 2015.
  C1. AMS Ang, ZG Zhang, YS Hung, JNF Mak, /A user-friendly wearable single-channel EOG-based human-computer interface for cursor control
  

• 2015.03.05 Presentation on Research progress [Slides]

• 2014.12.11 Presentation on Research progress [Slides]

• 2014.11.07 IEEE Computational Intelligence Junior Webinar [Slides]

• 2014.11.07 IEEE Transactions on Circuits and Systems II
  J1. J. F. Wu, A. M. S. Ang, Z. G. Zhang, K. M. Tsui, H. C. Wu, Y. S. Hung, Yong Hu, J. N. F. Mak, S. C. Chan, Efficient Implementation and Design of A New Single-Channel Electrooculography-based Human-Machine Interface System
  

My own notes

Content
1. Electromagnetics, Fibre Optics, Electronics
2. Control Theory, Dynamical System and Robotics
3. Information Theory and Coding
4. Signal Processing
5. Artificial Intelligence
6. Computer
7. Mathematics

1 Electromagnetics and related subjects

Electromagnetics

• Vector Calculus

• Coordinate systems

• Standard Charge Configuration

• Electrostatics

• Laplace Equation

• Maxwell’s Equation

• Electromagnetic Wave: Derivation, propagation constant and plane wave

• Electromagnetic Wave: Polarisation and Skin Depth

• Propagation Constant

• EM wave in two media

• Incidence Oblique Incidence of EM Wave in two media

• General Wave Guide

• Wave Guide in phasor form

• Parallel Plate Wave Guide

• Slab Wave Guide

• Vector Potential and Gauge Condition

• Hertzian Dipole Antenna

• Antenna Parameters

• Directivity of Antenna

• Array Factor of Antenna Array

• Transmission Line Circuit Model

• Solving Telegrapher's Equation by Klein-Gordon Equation

• Transmission Line Theory for Lumped System

• Solving Telegrapher’ Equation by Phasor

• Transmission Line Parameters

• Lossy and Low Loss Transmission Line

• Transient Bouncing in Transmission Line

• Derivation of Smith Chart

• Circles in Smith Chart

• Quarter Wavelength Converter

Fiber Optics

• Derivation of Some Laws in Optics

• Refractive Index Requirement in Fibre Optics

• Fundamentals of Fibers

• Wave guide Dispersion

• Material Dispersion

Electronics

• Carrier Transportation in Semiconductor

• PN Junction

• Diode Model

• MOSFET

• BJT and MOSFET operation modes

• Some Equations in Electronics

• Op-Amp Circuits

• Standard 4-resistor transistor network

2 Control Theory, Dynamical System and Robotics

Control Theory

• Laplace Transform on Linear ODEs

• System Modelling by Laplace Transform

• Convolution Integral Step by Step Illustration

• First Order System

• Second Order System

• Black Algebra and Final Value Theorem

• Frequency Responses of Sinusoidal Inputs

• Signal Flow Graph and Mason’s Rule

• Roth Stability Criterion

• Derivation of Root Locus

• Cauchy Index

• Bode Plot

• PID Controller

Dynamical System

• State Space Modelling

• State Space of Continuous Linear Time Invariant System

• Matrix Exponential

• Observability and Controllability of modes of dynamical system

• Optimal Control: Linear Quadratic Regulator

• The Optimal control law for the Infinite Time Horizon Optimal Regulator

• Discrete Kalman Filter

Robotics

• Servo Motor

• The arc-tan2 functon

• Kinematic Analysis on a 2D 2-linked arm

• Rotation Matrix

• Homogenous Transformation Matrix

• Denavit–Hartenberg Convention

• Computer Vision

• Trajectory Path Generation

3. Information Theory and Coding

• Introduction to what is Coding Theory

• Information Entropy

• Kraft Inequality

• Source Coding

• Shannon Fano Code

• Parity Bit

• Multiple Parity Bit

• Review of abstract algebra

• Linear Block Code

• BCH and RS Code

• Review of Number Theory

• Solution of Quiz 2, 2015

4. Signal Processing

Signal and Linear System

• Signal Acquistion

• Some equations in Signal and Systems

• Dirac Delta Function

• The Sinc Dirichlet Function

Communication

• Modulation of Signal

• Amplitude modulation

• Quadrature Amplitude Modulation

Signal Processing

• Discrete Fourier Transform

• Finding Zeros of transfer function

• Yule Walker Equation

• 100 question concept check list

• Ch15 Q7

• Magnitude respond of a transfer function

• Responses to some question from students

• A phasor problem

• Tutorial 2,3,4, 2016

5. Artificial Intelligence

• Perceptron

• Perceptron Algorithm

• Artificial Neural Network Back-propagation Algorithm

• ANN Input Scaling and number of neuron

• Ant Colony Optimisation Concept

• Random Walk

6. Computer

• Basic Computer Concept in Computer Organization

• The Assembler

• VHDL

• I2C Bus

• Software Engineering Process Model

7. Mathematics

Some random topic

• Some points on Set Theory

• Set Theoretic definitions of some objects

• Group Theory explain

• Partial Derivative equality

• The Jacobian

• Stirling Approximation

• Taylor Series

• A trick to integrate exp(-x^2)

Numerical Methods

• Numerical Integration

• Lipschitz Constant

• Convergence of Numerical ODE methods

• Finite Difference Method

• Least Squares

Optimization

• Terminology

• Optimization : Overview

• Unconstrained Optimization

• Equality Constraint and Optimization Lagrangian Multiplier

• Quadratic Programming

Statistics

• Statistics Explained

• Standard Variable Z

• Chebyshev Inequality and Law of Large number

• Discrete Distribution

• Continuous Distribution

• Gaussian Distribution

• Maximum Likelihood Distribution

• Gamma Function and Gamma-Poisson Distribution

Complex Variable

• Cauchy Riemann Condition

• Cauchy Integral Theorem

• Cauchy Integral Theorem II

• Computation of Residue

• Application of Residue

• Contour Integral

Transforms

• List of Transforms

• Laplace Transform

• Laplace Transform Paris I

• Laplace Transform Paris II

• Laplace Transform Properties

• Orthogonal function in Fourier Series

• Fourier Coefficient

• Fourier Transform Pairs

• Fourier Transform Properties

• Fourier Transform Properties

• Z-Transform Properties

• Hilbert Transform

Differential Equations

• Solving ODE by Fourier and Laplace

• A special 2nd order Constant Coefficient ODE

• First order PDE with constant coefficient

• Derivation of the Heat and Wave Equation

• Solving the Heat Equation

• PDE Separation of Variable

• PDE Integration Constant

• PDE, BVP and Fourier Series

• Airy Equation

• Zero Order Bessel Function

Linear Algebra

• Vector Algebra

• Linear Algebra

• Positive Definite Matrix

• Linear Space Review

• Vector Lp norm The proof is wrong (thanks to Loïc Ivaldi), the answer in this stack exchange post is more elegant

• Eigenvalue

• Matrix

• Tutorial 2013

• Tutorial 2014

Linear Matrix Inequality

• Polynomial Optimization Via Linear Matrix Inequality

Estimation Theory

• DC estimation and the corresponding Cramer-Rao Lower Bound

• Line Fitting

• Sinusoidal Amplitude Estimation

• Naive Bayes Navie Bayes Classifier

Regression and Least Squares

• Type of Regression Problem

• Ordinary Least Squares

• Gauss Markov Theorem for OLS

• Estimation of Noise Variance in OLS

• Ridge Regression