Transcript Embedded Communications in Wireless Sensor Network

MATLAB
for Scientist and Engineers
using Symbolic Toolbox
Byoung-Jo CHOI, PhD
University of Incheon
References

Symbolic Math Toolbox™ 5 MuPAD® Tutorial, MathWorks

Symbolic Math Toolbox™ 5 User's Guide

Mastering MATLAB 7, Duane Hanselman and Bruce Littlefield,
Pearson/Prentice Hall, 2005

Numerical Computing with MATLAB, Cleve Moler, MathWorks

임종수의 MATLAB7, 높이깊이, 2009

MATLAB: An Introduction with Applications, Amos Gilat, John Wiley
& Sons, Inc., 2004

Graphics and GUIs with MATLAB, 3rd Ed, Patrick Marchand and O.
Thomas Holland, Chapman & Hall/CRC, 2003
2
Course Introductions
MATLAB
for Scientist and Engineers
Using Symbolic Toolbox
Old History of MATLAB

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)





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
4
Further Digging Resources

Video: The Origins of MATLAB at MathWorks.com


Meet Mr Matlab at Scientific Computing World


http://en.wikipedia.org/wiki/Cleve_Moler
BLAS at Netlib.org


http://www.scientific-computing.com/features/feature.php?feature_id=15
Cleve Moler at Wikipedia


http://www.mathworks.com/company/aboutus/founders/clevemoler.html
http://www.netlib.org/blas/
Maple at Wikipedia and Maplesoft.com


http://en.wikipedia.org/wiki/Maple_(software)
http://www.maplesoft.com/index1.aspx
5
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
6
Graphics & Visualization
0.35
0.3
20
0.25
40
0.2
0.15
60
0.1
0.05
80
1
0
0.8
100
-0.05
0.6
-0.1
0.4
-0.15
0
0.5
1
120
1.5 0.2
2
2.5
3
3.5
4
20
40
60
80
100
120
0
-0.2
-0.4
-0.6
-0.8
-1
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
7
Graphical User Interface
fifteen
fdatool
Try them for yourself!
xpbombs
8
Toolboxes
Eye Diagram
5
Equalizer BER Comparison
0
10
4
-1
10
3
-2
10
1
BER
Amplitude
2
0
-1
-3
10
-4
10
Ideal BPSK
Linear Equalizer
DFE
Ideal MLSE
Imperfect MLSE
-2
-5
10
-3
-4
-0.5
-6
10
0
Time
0.5
0
2
4
6
8
10
Eb/No (dB)
12
14
16
Magnitude Response (dB)
20
0
Magnitude (dB)
-20
-40
-60
-80
-100
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Normalized Frequency ( rad/sample)
0.8
0.9
9
SIMULINK

Model-based design environment
Ref: Help – Video and Image Processing Blockset – Demos – Motion Detection
10
They Use MATLAB for …







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
11
The MATLAB System
The MATLAB system consists of these main parts:





Desktop Tools and Development Environment
Mathematical Function Library
The Language
Graphics
External Interfaces; API
+



Toolboxes: MATLAB function packages
Simulink: Model-based design
Blocksets: Simulink model packages
Ref: Help – MATLAB – Getting Started – Introduction – Product Overview
12
What is Symbolic Computing

Position of an oscillating mass:
Position  e2t  cos(6 t )  sin(6 t) 

Velocity?
General Solution
View underlying mathematics
Ref: Webinar – Symbolic Computing Tools for Academia
13
Symbolic Math Usage in Academia
Ref: Webinar – Symbolic Computing Tools for Academia
14
Working w/t Symbolic Math Toolbox
From MATLAB
From Notebook Interface
Sharing

Perform symbolic computations
using familiar MATLAB syntax

Conveniently manage & document
symbolic computations


Math notation, embedded text, graphics
Access complete MuPAD language

15+libraries of symbolic math functions
Ref: Webinar – Symbolic Computing Tools for Academia
15
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
16
Symbolic Math Toolbox Libraries

Calculus












Fourier transform
Laplace transform
Z-transform
Simplification


Polynomial Expansion
Substitution
Operations
Eigenvalues
Special Functions


Algebraic Equations
Differential Equations
Transforms

Linear Algebra

Solving Equations


Differentiation
Integrals
Jacobian
Taylor series
Limits

Bernoulli, Bessel, Beta, …
Fresnel sine/cosine integral,
Gamma

Variable Precision
Arithmetic

Plotting



2-D
3-D contour, surface, mesh
Animations
Ref: Webinar – Symbolic Computing Tools for Academia
17
Course Overview

Symbolic Computing using MuPAD


7 Weeks + MidTerm Exam
Text: MuPAD Tutorial available in PDF
http://www.mathworks.com/access/helpdesk/help/pdf_doc/symbolic/mupad_tutorial.pdf

Ref: Symbol Math Toolbox 5 – User's Guide
http://www.mathworks.com/access/helpdesk/help/pdf_doc/symbolic/symbolic_tb.pdf

Numeric Computing using MATLAB



7 Weeks + Final Exam
Text: MATLAB, an Introduction with Applications,
3rd Ed, Amos Gilat, John Wiley, 2008
Ref: 임종수의 MATLAB7, 2009, 임종수, 높이깊이
18
Overview: Symbolic Computation




First Taste of MuPAD (Ch1~4)
MuPAD Language (Ch 5~9)
Graphics (Ch 10)
Applications (Ch 11~13)
19
Overview: Numeric Computation








Basic Computing in MATLAB
M-File Script and Excel File Read/Write
Handling Arrays and Matrices
Plotting Graphs
M-File Function Programming
3D Graphics
Data Analysis / Interpolation / Optimization
GUI Development
20
Lecture Layout

Lecture: 1hr

Study the lecture material in advance using
lecture notes and video recording.







On-line quiz
Report Review: 10 min
Preview Quiz: 20 min
Review: Revisit the core topics covered in the
video recording – 10 min
Q&A Session: 10 min
LAB1: 1hr – demo / on-line submission
LAB2: 1hr – demo / on-line submission
21
How to Get Good Grades









Fall in love with MATLAB.
Be adventurous! Try different possibilities!
Don't miss on-line quiz / preview quiz / LABs.
Use MATLAB for other courses.
Ask during the classes.
Ask your friends to help you.
Come and visit me as often as you can.
Do not just copy others' work.
Do not miss midterm exam and final exam.
22
Contact

Lecturer





Byoung-Jo CHOI
[email protected]
032-835-8765 / 010-6737-1536
IT BD Room 7-327
Assistant




Seok-Beom KIM (MSc Student)
[email protected]
032-835-4680 / 010-9100-5365
IT BD Room 7-330
23
Notes
24