Transcript Embedded Communications in Wireless Sensor Network

Chapter 1:
Brief Overview of
MATLAB
MATLAB
for Scientist and Engineers
Using Symbolic Toolbox
You are going to
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Expose yourself to the history of MATLAB,
See what MATLAB provides,
Look at a symbolic math example.
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Old History of MATLAB
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1967: "Computer solution of linear algebraic
equations", Forsythe and Moler
 1971: "Handbook for automatic
computations" in ALGOL,
J. H. Wilkinson et. al.
Cleve Moler
(1939~)
J.H.Wilkinson, UK
(1919~1986)
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1976: "Matrix Eigensystem Routines,
EISPACK Guide" in FORTRAN
1976~9: "LINPACK" in FORTRAN
1977~: "MATLAB Environment", Cleve Moler
1979: "Numerical analysis" lecture at Stanford,
met with Jack Little, then an engineering student
1984: MathWorks founded by Jack and Moler
Jack Little
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Further Digging Resources
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Video: The Origins of MATLAB at MathWorks.com
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Meet Mr Matlab at Scientific Computing World
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http://en.wikipedia.org/wiki/Cleve_Moler
BLAS at Netlib.org
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http://www.scientific-computing.com/features/feature.php?feature_id=15
Cleve Moler at Wikipedia
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http://www.mathworks.com/company/aboutus/founders/clevemoler.html
http://www.netlib.org/blas/
Maple at Wikipedia and Maplesoft.com
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http://en.wikipedia.org/wiki/Maple_(software)
http://www.maplesoft.com/index1.aspx
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MATLAB? Matrix Laboratory
Matrix Arithmetic, Eigen Analysis, ...
>> b=floor(10*rand(3))
>> c=a*b
b =
1
5
3
c = 32
77
80
6
1
8
54
62
105
3
6
8
64
41
100
>> d=a/b
>> a=magic(3)
a =
8
1
6
d = 2.3934
2.0164
-2.1639
3
5
7
0.1475
0.1311
0.6885
4
9
2
5.0820
1.2951
-2.9508
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Graphics & Visualization
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Graphical User Interface
fifteen
fdatool
Try them for yourself!
xpbombs
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Toolboxes
Eye Diagram
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Equalizer BER Comparison
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BER
Amplitude
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Ideal BPSK
Linear Equalizer
DFE
Ideal MLSE
Imperfect MLSE
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SIMULINK
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Model-based design environment
Ref: Help – Video and Image Processing Blockset – Demos – Motion Detection
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They Use MATLAB for …
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Math and computation
Algorithm development
Data acquisition
Modeling, simulation, and prototyping
Data analysis, exploration, and visualization
Scientific and engineering graphics
Application development, including graphical
user interface building
Ref: Help – MATLAB – Getting Started – Introduction – Product Overview
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The MATLAB System
The MATLAB system consists of these main parts:
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Desktop Tools and Development Environment
Mathematical Function Library
The Language
Graphics
External Interfaces; API
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Toolboxes: MATLAB function packages
Simulink: Model-based design
Blocksets: Simulink model packages
Ref: Help – MATLAB – Getting Started – Introduction – Product Overview
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What is Symbolic Computing
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Position of an oscillating mass:
Position  e2t  cos(6 t )  sin(6 t) 
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Velocity?
General Solution
View underlying mathematics
Ref: Webinar – Symbolic Computing Tools for Academia
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Symbolic Math Usage in Academia
Ref: Webinar – Symbolic Computing Tools for Academia
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Working w/t Symbolic Math Toolbox
From MATLAB
From Notebook Interface
Sharing
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Perform symbolic computations
using familiar MATLAB syntax
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Conveniently manage & document
symbolic computations
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Math notation, embedded text, graphics
Access complete MuPAD language
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15+libraries of symbolic math functions
Ref: Webinar – Symbolic Computing Tools for Academia
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Demo: Mass-Spring-Damp System
Dynamic Equation
mx(t )  Rx(t )  kx(t )  0
Initial Conditions
x(0)  0, x(0)  1
Symbolic Math Solution
Ref: Webinar – Symbolic Computing Tools for Academia
mass_spring_damp_system.mn
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Symbolic Math Toolbox Libraries
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Calculus
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Fourier transform
Laplace transform
Z-transform
Simplification
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Polynomial Expansion
Substitution
Operations
Eigenvalues
Special Functions
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Algebraic Equations
Differential Equations
Transforms
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Linear Algebra
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Solving Equations
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Differentiation
Integrals
Jacobian
Taylor series
Limits
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Bernoulli, Bessel, Beta, …
Fresnel sine/cosine integral,
Gamma
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Variable Precision
Arithmetic
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Plotting
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2-D
3-D contour, surface, mesh
Animations
Ref: Webinar – Symbolic Computing Tools for Academia
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