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MATLAB is an integrated technical computing environment used for numeric computation, visualization, and programming. It contains mathematical and graphical functions as well as tools for algorithm development, data analysis, visualization, and numeric computation. MATLAB can be used for a wide range of applications including signal and image processing, communications, control design, test and measurement. It also contains toolboxes for tasks in various domains like signal processing, control systems, computational finance, computer vision etc.

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Do you speak MATLAB!
MathWorks® MATLAB® R2012a (7.14)
MATLAB Introducing MATLAB – Language of technical computing 2 Is an integrated technical computing environment that combines numeric computation, advanced graphics and visualization, and a high-level programming language. The MathWorks, Inc. High-level language of technical computing Development environment for engineers, scientists Interactive tools for design, problem solving Mathematical function libraries Graphics and data visualization tools Custom GUIs External Interfaces: C, C++, Fortran, Java, COM, Excel, .NET
MATLAB product family Toolboxes: Collections of specialized Functions Graphics 2D Graphics 3D Graphics Color & Lighting Animation Image, Audio & Video Computations Linear Algebra Data Analysis Polynomials Interpolations Solutions of ODE External Interfaces C C++ JAVA .net Micorosoft Excel Parallel Computing Math, Statistics, and Optimization Control System Design and Analysis Signal Processing and Communications Image Processing and Computer Vision Test and Measurement Built-in Functions User-written Functions MATLAB Computational Finance Computational Biology Code Generation and Verification Application Deployment Database Connectivity and Reporting MATLAB Programming Language Parallel Computing Toolbox MATLAB Distributed Computing Server Parallel Computing Symbolic Math Toolbox Partial Differential Equation Toolbox Statistics Toolbox Curve Fitting Toolbox Optimization Toolbox Global Optimization Toolbox Neural Network Toolbox Model-Based Calibration Toolbox Math, Statistics, and Optimization Control System Toolbox System Identification Toolbox Fuzzy Logic Toolbox Robust Control Toolbox Model Predictive Control Toolbox Aerospace Toolbox Control System Design and Analysis Signal Processing Toolbox DSP System Toolbox Communications System Toolbox Wavelet Toolbox Fixed-Point Toolbox RF Toolbox Phased Array System Toolbox Signal Processing and Communications Image Processing Toolbox Computer Vision System Toolbox Image Acquisition Toolbox Mapping Toolbox Image Processing and Computer Vision Data Acquisition Toolbox Instrument Control Toolbox Image Acquisition Toolbox OPC Toolbox Vehicle Network Toolbox Test and Measurement Financial Toolbox Econometrics Toolbox Datafeed Toolbox Database Toolbox Computational Finance Spreadsheet Link EX (for Microsoft Excel) Fixed-Income Toolbox Financial Derivatives Toolbox Bioinformatics Toolbox SimBiology Computational Biology MATLAB Coder HDL Coder HDL Verifier Filter Design HDL Coder Code Generation and Verification MATLAB Compiler MATLAB Builder NE (for Microsoft .NET Framework) MATLAB Builder JA (for Java language) MATLAB Builder EX (for Microsoft Excel) Spreadsheet Link EX (for Microsoft Excel) Application Deployment Database Toolbox MATLAB Report Generator Database Connectivity and Reporting Introducing MATLAB – Language of technical computing 3
Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB 4
Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB 5 Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Conditional control statements Loop control statements Functions – creating & executing a function file
Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 6 Conditional control statements Loop control statements
The main window characterized by the MATLAB command prompt (>>) Command Window This is where you write, edit, create, and save your own script or programs in files called m-files. Editor Window This is where all your files from the current directory are listed. Current Directory All commands typed on MATLAB prompt in the command window get recorded, even across multiple session in this window. Command History This subwindow lists all variables that you have generated so far along with there type and size. Workspace MATLAB - Desktop Minimal MATLAB 7
MATLAB - Desktop The main window characterized by the MATLAB command prompt (>>) Help Window Minimal MATLAB 8
Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 9 Conditional control statements Loop control statements
Basic Data and Variables Computing with MATLAB Class Variable Size Value Minimal MATLAB 10
Basic Data and Variables Computing with MATLAB Multidimensional Array [full or sparse] Scalar  logical ab char { } cell struct function handle (@) numeric int8, uint8, int16, unit16, int32, unit32, int64, unit64 single double Minimal MATLAB 11
Arithmetic Operator & Their Precedence Computing with MATLAB Operations Operators Examples Addition Subtraction Multiplication Right Division Left Division Exponentiation + − * / ^ >> 𝟓 + 𝟑 >> 𝟓 − 𝟑 >> 𝟓 ∗ 𝟑 >> 𝟓/𝟑 >> 𝟓𝟑 = 𝟑/𝟓 >> 𝟓^𝟑 (means 𝟓𝟑 = 𝟏𝟐𝟓) Precedence Order Operators 1 2 3 4 Parentheses ( ). For nested parentheses, the innermost are executed first. Exponentiation, ^ Multiplication, *; Division, /, Addition, +; Subtraction, - help precedence Minimal MATLAB 12
Computing with MATLAB Mathematical Functions Trigonometry sind cosd tand cotd secd cscd Degree sin cos tan cot sec csc sinh cosh tanh coth sech csch asin acos atan acot asec acsc Basic Hyperbolic Inverse Radian Basic Exponential exp log log10 log2 sqrt Complex abs conj imag real angle Matrix det trace rank inv expm sqrtm Discrete Math factorial gcd lcm primes help <type function name> Minimal MATLAB 13
Predefined Variables and Keywords ans pi eps inf i,j NaN A variable that has the value of the last expression that was not assigned to a specific variable The number π. The smallest difference between two numbers. Equal to 2^(–52), which is approximately 2.2204e–016. Used for infinity. Defined as −1, which is: 0 + 1.0000i. Stands for Not-a-Number. Used when MATLAB cannot determine a valid numeric value. Example: 0/0. Predefined Variables break case catch classdef continue else elseif end for function global if otherwise parfor persistent return spmd switch try while Keywords iskeyword help <Predefined Variable Name> Computing with MATLAB Minimal MATLAB 14
Managing Variables clear clear x y z clear all who whos Clears the workspace, all variables are removed from the memory Clears only variables x, y, and z Clears all variables and functions from workspace Lists variables currently in the workspace Lists variables currently in the workspace with their sizes together with information about their bytes and class Command Outcome Computing with MATLAB Minimal MATLAB 15
Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 16 Conditional control statements Loop control statements
Overview Array 5 5 7 4 5 7 4 5 10 56 6 4 6 7 78 86 Scalar of 1 X 1 Row Vector of 1 X 3 Column vector of 3 X 1 One Dimensional Matrix of 3 X 3 5 10 56 85 23 6 4 6 23 2 7 78 86 53 6 5 14 12 10 56 6 10 504 4 6 89 0 Two Dimensional Matrix of 3 X 5 5 10 56 85 23 6 4 6 23 2 7 78 86 53 6 5 14 12 10 56 6 0 5 14 12 10 56 89 0 Three Dimensional Matrix of 3 X 5 Minimal MATLAB 17
Creation Array One Dimensional Array variable_name = [ type vector elements ] Minimal MATLAB 18 Two Dimensional Array variable_name = [1st row elements; 2nd row elements; 3rd row elements; ... ; last row elements]  from a known list of numbers  with constant spacing by specifying the first term, the spacing, and the last term Known lists of numbers
Array Minimal MATLAB 19 Creation Creating a vector with constant spacing by specifying the first term, the spacing, and the last term: variable_name = [m:q:n] or variable_name = m:q:n m = first term q = spacing n = last term : (colon operator) Constant spacing Creating a vector with linear (equal) spacing by specifying the first and last terms, and the number of terms: variable_name = linspace(xi, xf, n) xi = first element xf = Last element n = number of elements linspace Constant spacing
Array Minimal MATLAB 20 Array Operators + Addition - Subtraction .* Element-by-element multiplication ./ Element-by-element division . Element-by-element left division .^ Element-by-element power ‘ Transpose Operations Operation 𝐴 = 1 3 4 2 𝐵 = 2 3 5 7 𝐶 = 𝐴.∗ 𝐵 = 2 9 20 14 𝐶 = 1 × 2 3 × 3 4 × 5 2 × 7
Data Manipulation Array Minimal MATLAB 21 Addressing - Extraction (Subset) Addressing an element(s) individually or in subgroups:  To redefine only some of the elements,  When specific elements are to be used in calculations,  When a subgroup of the elements is used to define a new variable.
Array Minimal MATLAB 22 Address vector >> ve = [35 46 78 23 5 14 81 3 55] ve = 35 46 78 23 5 14 81 3 55 1 2 3 4 5 6 7 8 9 position or index of element Data Manipulation
Array Minimal MATLAB 23 Address matrix ) 3 11 6 5 4 7 10 2 13 9 0 8 MAT = (1,1) (1,2) (1,3) (1,4) (2,1) (2,2) (2,3) (2,4) (3,1) (3,2) (3,3) (3,4) 3 11 6 5 4 7 10 2 13 9 0 8 MAT = Data Manipulation
Array Minimal MATLAB 24 Addressing vector : (colon operator) Data Manipulation Addressing matrix : (colon operator) A(:,n) Refers to the elements in all the rows of column n of the matrix A. A(n,:) Refers to the elements in all the columns of row n of the matrix A. A(:,m:n) Refers to the elements in all the rows between columns m and n of the matrix A. A(m:n,:) Refers to the elements in all the columns between rows m and n of the matrix A. A(m:n,p:q) Refers to the elements in rows m through n and columns p through q of the matrix A.
Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 25 Conditional control statements Loop control statements
Creation Plotting Minimal MATLAB 26 Example Damped Oscillation equation: 𝒚 = 𝒆−𝒂𝒕 𝐜𝐨𝐬 (𝒃𝒕)
Creation Plotting Minimal MATLAB 27 Example Damped Oscillation equation: 𝒚 = 𝒆−𝒂𝒕 𝐜𝐨𝐬 (𝒃𝒕) a = 0.1; b = 1; t = 0:0.1:20; y = exp(-a*t).*cos(b*t); plot(t,y) grid on; xlabel('Time in second'); ylabel('Response in mm'); title('Damped Oscillation'); legend('a = 0.1,b = 1)'); 1- 2- 3- 4- 5- 6- 7- 8- 9-
Creation Plotting Minimal MATLAB 28 Overview ylabel xlabel title legend
Graphing Plotting Minimal MATLAB 29 Plot function plot(x,y) where the variables x and y are vector and must be of same size i.e the number of elements should be equal. x=[1 2 3 5 7 7.5 8 10]; y=[2 6.5 7 7 5.5 4 6 8]; plot(x,y)
Graphing Plotting Minimal MATLAB 30 Plot function plot(x,y,‘line specifiers’,‘PropertyName’,PropertyValue) Line specifiers are optional and can be used to define the style and color of the line and the type of markers (if markers are desired). Line specifiers solid (default) dashed dotted dash-dot Line Style Specifier - -- : -. red green blue cyan Line color Specifier r g b c magenta yellow black white Line color Specifier m y k w
Graphing Plotting Minimal MATLAB 31 Plot function plot(x,y,‘line specifiers’,‘PropertyName’,PropertyValue) Line specifiers are optional and can be used to define the style and color of the line and the type of markers (if markers are desired). Line specifiers plus sign circle asterisk point cross triangle (pointed up) triangle (pointed down) Marker type Specifier + o * . × ^ v square diamond five pointed star six pointed star triangle (pointed left) triangle (pointed right) Marker type Specifier s d p h < >
Graphing Plotting Minimal MATLAB 32 Plot function plot(x,y,‘line specifiers’,‘PropertyName’,PropertyValue) To specify the thickness of the line, the size of the marker, and the colors of the marker’s edge line and fill Property Name
Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 33 Conditional control statements Loop control statements
Creation Script Minimal MATLAB 34 Overview Sequence of MATLAB statements in file Script A script file is an external file that contains a sequence of MATLAB statements. Script files have a filename extension of .m.
Basics Script Minimal MATLAB 35 variable_name = input(‘prompt message’) Accepting input from user Displaying output to user disp(name of a variable) disp(‘text as string’) Saving script file Creating script file Executing script file
Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 36 Conditional control statements Loop control statements
Creation Script Minimal MATLAB 37 Conditional Statement Conditional expression consisting of relational and/or logical operators. Operations Operators Less than Greater than Less than or equal to Greater than or equal to Equal to Not Equal to < > <= >= == ~= Relational Operators Operations Operators And Or Not && || ~ Logical Operators
Creation Script Minimal MATLAB 38 Example 𝑔 𝑡 = 0, 𝑡 < −2 −4 − 2𝑡, −2 < 𝑡 < 0 −4 − 3𝑡, 0 < 𝑡 < 4 16 − 2𝑡, 4 < 𝑡 < 8 0, 𝑡 > 8 Plot g1 g2 g3 t = linspace(-5,10); g1 = -4 - 2*t; g2 = -4 + 3*t; g3 = 16 - 2*t; g = g1.*(-2<t & t<=0)... + g2.*(0<t & t<=4)... + g3.*(4<t & t<=8); plot(t,g) 1- 2- 3- 4- 5- 6- 7- g1 g2 g3
if/elseif/else Statement Script Minimal MATLAB 39 if statement Statement Group 1 False True End Statement Group 2 if expression statements elseif expression statements else statements end
Creation Script Minimal MATLAB 40 Switch Statement False True Flowchart match case, k case end False case statement, k True switch switch_expression case case_expression statements case case_expression statements : otherwise statements end
Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 41 Conditional control statements Loop control statements
Loop control statements Script Minimal MATLAB 42 for (Iterative Loop) while (Conditional Loop) continue, break for index = start:increment:end statements end while expression statements end
Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 43 Conditional control statements Loop control statements
Creation Function Minimal MATLAB 44 Overview SYSTEM [Mathematical model of Physical Phenomenon] (function file) Set of inputs Set of outputs 1 2 3 m 1 2 3 n [System] Electrical Networks Communication System Control System Thermodynamic System Computer system, etc [Input variables] current, voltage, power, energy, temperature, data [Output variables] current, voltage, power, energy, temperature, Processed data function [out1, out2, ...] = func_name(in1, in2, ...) declares the function func_name, and its inputs and outputs
Creation Function Minimal MATLAB 45 Example 𝐻 = 𝑦 𝑥 = 1 1 + (𝜔𝑅𝐶)2 Black Box X Y function H = lp(R,C) w = logspace(-2,6); H = 1./sqrt(1 + (w*R*C).^2); semilogx(w,H) xlabel('Angular frquency, w (rad/s)'); ylabel('System Response'); title('Low-Pass frequency response'); 1- 2- 3- 4- 5- 6- Source: MATLAB An Introduction with Applications, Amos Gilat, 4e
Creation Function Minimal MATLAB 46 Example
Creation Function Minimal MATLAB 47 Example Black Box 𝑇 𝑇𝑑 𝑇𝑤 𝐵𝑃 𝑅𝐻 𝑅𝐻 = 100 𝑒 𝑒𝑠 𝑇𝑑 = 243.5 ln( 𝑒 6.112 ) 17.67 − ln( 𝑒 6.112 ) 𝑇𝑑, dew point temperature °𝐶 𝑇, dry-bulb temperature °𝐶 𝑇𝑤, wet-bulb temperature °𝐶 𝐵𝑃, barometric temperature in millibars 𝑅𝐻, relative humidity in % 𝑃𝑠 = 6.112 exp 17.67𝑇 𝑇 + 243.5 𝑃𝑤 = 6.112 exp 17.67𝑇𝑤 𝑇𝑤 + 243.5 𝑒 = 𝑒𝑤 − 𝐵𝑃 𝑇 − 𝑇𝑤 0.00066(1 + 0.00115𝑇𝑤) Source: MATLAB An Introduction with Applications, Amos Gilat, 4e
Creation Function Minimal MATLAB 48 Example function [Td, RH] = DewptRhum(T,Tw,BP) es = 6.112*exp((17.67*T)/(T + 243.5)); ew = 6.112*exp((17.67*Tw)/(Tw + 243.5)); e = ew - BP*(T - Tw)*0.00066*(1 + 0.00115*Tw); RH = 100*(e/es); Td = (243.5*log(e/6.112))/(17.67 - log(e/6.112)); 1- 2- 3- 4- 5- 𝑇 = 25°𝐶, 𝑇𝑤 = 19°𝐶, 𝐵𝑃 = 985 𝑚𝑖𝑙𝑙𝑖𝑏𝑎𝑟 Calculate 𝑻𝒅 =? , 𝑹𝑯 =? 𝑇 = 36°𝐶, 𝑇𝑤 = 31°𝐶, 𝐵𝑃 = 1020 𝑚𝑖𝑙𝑙𝑖𝑏𝑎𝑟
BEFORE LEAVING
More on MATLAB 1. MATLAB Tutorials 2. Demo and Webinars 3. Documentations 4. MATLAB Central (User Community) www.mathworks.com
Reference 1. Getting started with MATLAB, A quick introduction for scientists and engineers, Rudra Pratap, Indian edition 2. MATLAB An Introduction with Applications, Amos Gilat, 4e 3. Matlab - A Practical Introduction to Programming and Problem Solving, Stormy Attaway, 2e 4. Essential MATLAB for Engineers and Scientists, Brian D. Hahn & Daniel T. Valentine 5. A Guide to MATLAB for Beginners and Experienced Users, Hunt Lipsman & Rosenberg
THANKS We speak MATLAB! ASHISH MESHRAM meetashish85@gmail.com www.facebook.com/ashishmeet

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matlab-130408153714-phpapp02_lab123.ppsx

  • 1. Do you speak MATLAB!
  • 3. MATLAB Introducing MATLAB – Language of technical computing 2 Is an integrated technical computing environment that combines numeric computation, advanced graphics and visualization, and a high-level programming language. The MathWorks, Inc. High-level language of technical computing Development environment for engineers, scientists Interactive tools for design, problem solving Mathematical function libraries Graphics and data visualization tools Custom GUIs External Interfaces: C, C++, Fortran, Java, COM, Excel, .NET
  • 4. MATLAB product family Toolboxes: Collections of specialized Functions Graphics 2D Graphics 3D Graphics Color & Lighting Animation Image, Audio & Video Computations Linear Algebra Data Analysis Polynomials Interpolations Solutions of ODE External Interfaces C C++ JAVA .net Micorosoft Excel Parallel Computing Math, Statistics, and Optimization Control System Design and Analysis Signal Processing and Communications Image Processing and Computer Vision Test and Measurement Built-in Functions User-written Functions MATLAB Computational Finance Computational Biology Code Generation and Verification Application Deployment Database Connectivity and Reporting MATLAB Programming Language Parallel Computing Toolbox MATLAB Distributed Computing Server Parallel Computing Symbolic Math Toolbox Partial Differential Equation Toolbox Statistics Toolbox Curve Fitting Toolbox Optimization Toolbox Global Optimization Toolbox Neural Network Toolbox Model-Based Calibration Toolbox Math, Statistics, and Optimization Control System Toolbox System Identification Toolbox Fuzzy Logic Toolbox Robust Control Toolbox Model Predictive Control Toolbox Aerospace Toolbox Control System Design and Analysis Signal Processing Toolbox DSP System Toolbox Communications System Toolbox Wavelet Toolbox Fixed-Point Toolbox RF Toolbox Phased Array System Toolbox Signal Processing and Communications Image Processing Toolbox Computer Vision System Toolbox Image Acquisition Toolbox Mapping Toolbox Image Processing and Computer Vision Data Acquisition Toolbox Instrument Control Toolbox Image Acquisition Toolbox OPC Toolbox Vehicle Network Toolbox Test and Measurement Financial Toolbox Econometrics Toolbox Datafeed Toolbox Database Toolbox Computational Finance Spreadsheet Link EX (for Microsoft Excel) Fixed-Income Toolbox Financial Derivatives Toolbox Bioinformatics Toolbox SimBiology Computational Biology MATLAB Coder HDL Coder HDL Verifier Filter Design HDL Coder Code Generation and Verification MATLAB Compiler MATLAB Builder NE (for Microsoft .NET Framework) MATLAB Builder JA (for Java language) MATLAB Builder EX (for Microsoft Excel) Spreadsheet Link EX (for Microsoft Excel) Application Deployment Database Toolbox MATLAB Report Generator Database Connectivity and Reporting Introducing MATLAB – Language of technical computing 3
  • 5. Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB 4
  • 6. Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB 5 Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Conditional control statements Loop control statements Functions – creating & executing a function file
  • 7. Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 6 Conditional control statements Loop control statements
  • 8. The main window characterized by the MATLAB command prompt (>>) Command Window This is where you write, edit, create, and save your own script or programs in files called m-files. Editor Window This is where all your files from the current directory are listed. Current Directory All commands typed on MATLAB prompt in the command window get recorded, even across multiple session in this window. Command History This subwindow lists all variables that you have generated so far along with there type and size. Workspace MATLAB - Desktop Minimal MATLAB 7
  • 9. MATLAB - Desktop The main window characterized by the MATLAB command prompt (>>) Help Window Minimal MATLAB 8
  • 10. Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 9 Conditional control statements Loop control statements
  • 11. Basic Data and Variables Computing with MATLAB Class Variable Size Value Minimal MATLAB 10
  • 12. Basic Data and Variables Computing with MATLAB Multidimensional Array [full or sparse] Scalar  logical ab char { } cell struct function handle (@) numeric int8, uint8, int16, unit16, int32, unit32, int64, unit64 single double Minimal MATLAB 11
  • 13. Arithmetic Operator & Their Precedence Computing with MATLAB Operations Operators Examples Addition Subtraction Multiplication Right Division Left Division Exponentiation + − * / ^ >> 𝟓 + 𝟑 >> 𝟓 − 𝟑 >> 𝟓 ∗ 𝟑 >> 𝟓/𝟑 >> 𝟓𝟑 = 𝟑/𝟓 >> 𝟓^𝟑 (means 𝟓𝟑 = 𝟏𝟐𝟓) Precedence Order Operators 1 2 3 4 Parentheses ( ). For nested parentheses, the innermost are executed first. Exponentiation, ^ Multiplication, *; Division, /, Addition, +; Subtraction, - help precedence Minimal MATLAB 12
  • 14. Computing with MATLAB Mathematical Functions Trigonometry sind cosd tand cotd secd cscd Degree sin cos tan cot sec csc sinh cosh tanh coth sech csch asin acos atan acot asec acsc Basic Hyperbolic Inverse Radian Basic Exponential exp log log10 log2 sqrt Complex abs conj imag real angle Matrix det trace rank inv expm sqrtm Discrete Math factorial gcd lcm primes help <type function name> Minimal MATLAB 13
  • 15. Predefined Variables and Keywords ans pi eps inf i,j NaN A variable that has the value of the last expression that was not assigned to a specific variable The number π. The smallest difference between two numbers. Equal to 2^(–52), which is approximately 2.2204e–016. Used for infinity. Defined as −1, which is: 0 + 1.0000i. Stands for Not-a-Number. Used when MATLAB cannot determine a valid numeric value. Example: 0/0. Predefined Variables break case catch classdef continue else elseif end for function global if otherwise parfor persistent return spmd switch try while Keywords iskeyword help <Predefined Variable Name> Computing with MATLAB Minimal MATLAB 14
  • 16. Managing Variables clear clear x y z clear all who whos Clears the workspace, all variables are removed from the memory Clears only variables x, y, and z Clears all variables and functions from workspace Lists variables currently in the workspace Lists variables currently in the workspace with their sizes together with information about their bytes and class Command Outcome Computing with MATLAB Minimal MATLAB 15
  • 17. Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 16 Conditional control statements Loop control statements
  • 18. Overview Array 5 5 7 4 5 7 4 5 10 56 6 4 6 7 78 86 Scalar of 1 X 1 Row Vector of 1 X 3 Column vector of 3 X 1 One Dimensional Matrix of 3 X 3 5 10 56 85 23 6 4 6 23 2 7 78 86 53 6 5 14 12 10 56 6 10 504 4 6 89 0 Two Dimensional Matrix of 3 X 5 5 10 56 85 23 6 4 6 23 2 7 78 86 53 6 5 14 12 10 56 6 0 5 14 12 10 56 89 0 Three Dimensional Matrix of 3 X 5 Minimal MATLAB 17
  • 19. Creation Array One Dimensional Array variable_name = [ type vector elements ] Minimal MATLAB 18 Two Dimensional Array variable_name = [1st row elements; 2nd row elements; 3rd row elements; ... ; last row elements]  from a known list of numbers  with constant spacing by specifying the first term, the spacing, and the last term Known lists of numbers
  • 20. Array Minimal MATLAB 19 Creation Creating a vector with constant spacing by specifying the first term, the spacing, and the last term: variable_name = [m:q:n] or variable_name = m:q:n m = first term q = spacing n = last term : (colon operator) Constant spacing Creating a vector with linear (equal) spacing by specifying the first and last terms, and the number of terms: variable_name = linspace(xi, xf, n) xi = first element xf = Last element n = number of elements linspace Constant spacing
  • 21. Array Minimal MATLAB 20 Array Operators + Addition - Subtraction .* Element-by-element multiplication ./ Element-by-element division . Element-by-element left division .^ Element-by-element power ‘ Transpose Operations Operation 𝐴 = 1 3 4 2 𝐵 = 2 3 5 7 𝐶 = 𝐴.∗ 𝐵 = 2 9 20 14 𝐶 = 1 × 2 3 × 3 4 × 5 2 × 7
  • 22. Data Manipulation Array Minimal MATLAB 21 Addressing - Extraction (Subset) Addressing an element(s) individually or in subgroups:  To redefine only some of the elements,  When specific elements are to be used in calculations,  When a subgroup of the elements is used to define a new variable.
  • 23. Array Minimal MATLAB 22 Address vector >> ve = [35 46 78 23 5 14 81 3 55] ve = 35 46 78 23 5 14 81 3 55 1 2 3 4 5 6 7 8 9 position or index of element Data Manipulation
  • 24. Array Minimal MATLAB 23 Address matrix ) 3 11 6 5 4 7 10 2 13 9 0 8 MAT = (1,1) (1,2) (1,3) (1,4) (2,1) (2,2) (2,3) (2,4) (3,1) (3,2) (3,3) (3,4) 3 11 6 5 4 7 10 2 13 9 0 8 MAT = Data Manipulation
  • 25. Array Minimal MATLAB 24 Addressing vector : (colon operator) Data Manipulation Addressing matrix : (colon operator) A(:,n) Refers to the elements in all the rows of column n of the matrix A. A(n,:) Refers to the elements in all the columns of row n of the matrix A. A(:,m:n) Refers to the elements in all the rows between columns m and n of the matrix A. A(m:n,:) Refers to the elements in all the columns between rows m and n of the matrix A. A(m:n,p:q) Refers to the elements in rows m through n and columns p through q of the matrix A.
  • 26. Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 25 Conditional control statements Loop control statements
  • 27. Creation Plotting Minimal MATLAB 26 Example Damped Oscillation equation: 𝒚 = 𝒆−𝒂𝒕 𝐜𝐨𝐬 (𝒃𝒕)
  • 28. Creation Plotting Minimal MATLAB 27 Example Damped Oscillation equation: 𝒚 = 𝒆−𝒂𝒕 𝐜𝐨𝐬 (𝒃𝒕) a = 0.1; b = 1; t = 0:0.1:20; y = exp(-a*t).*cos(b*t); plot(t,y) grid on; xlabel('Time in second'); ylabel('Response in mm'); title('Damped Oscillation'); legend('a = 0.1,b = 1)'); 1- 2- 3- 4- 5- 6- 7- 8- 9-
  • 30. Graphing Plotting Minimal MATLAB 29 Plot function plot(x,y) where the variables x and y are vector and must be of same size i.e the number of elements should be equal. x=[1 2 3 5 7 7.5 8 10]; y=[2 6.5 7 7 5.5 4 6 8]; plot(x,y)
  • 31. Graphing Plotting Minimal MATLAB 30 Plot function plot(x,y,‘line specifiers’,‘PropertyName’,PropertyValue) Line specifiers are optional and can be used to define the style and color of the line and the type of markers (if markers are desired). Line specifiers solid (default) dashed dotted dash-dot Line Style Specifier - -- : -. red green blue cyan Line color Specifier r g b c magenta yellow black white Line color Specifier m y k w
  • 32. Graphing Plotting Minimal MATLAB 31 Plot function plot(x,y,‘line specifiers’,‘PropertyName’,PropertyValue) Line specifiers are optional and can be used to define the style and color of the line and the type of markers (if markers are desired). Line specifiers plus sign circle asterisk point cross triangle (pointed up) triangle (pointed down) Marker type Specifier + o * . × ^ v square diamond five pointed star six pointed star triangle (pointed left) triangle (pointed right) Marker type Specifier s d p h < >
  • 33. Graphing Plotting Minimal MATLAB 32 Plot function plot(x,y,‘line specifiers’,‘PropertyName’,PropertyValue) To specify the thickness of the line, the size of the marker, and the colors of the marker’s edge line and fill Property Name
  • 34. Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 33 Conditional control statements Loop control statements
  • 35. Creation Script Minimal MATLAB 34 Overview Sequence of MATLAB statements in file Script A script file is an external file that contains a sequence of MATLAB statements. Script files have a filename extension of .m.
  • 36. Basics Script Minimal MATLAB 35 variable_name = input(‘prompt message’) Accepting input from user Displaying output to user disp(name of a variable) disp(‘text as string’) Saving script file Creating script file Executing script file
  • 37. Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 36 Conditional control statements Loop control statements
  • 38. Creation Script Minimal MATLAB 37 Conditional Statement Conditional expression consisting of relational and/or logical operators. Operations Operators Less than Greater than Less than or equal to Greater than or equal to Equal to Not Equal to < > <= >= == ~= Relational Operators Operations Operators And Or Not && || ~ Logical Operators
  • 39. Creation Script Minimal MATLAB 38 Example 𝑔 𝑡 = 0, 𝑡 < −2 −4 − 2𝑡, −2 < 𝑡 < 0 −4 − 3𝑡, 0 < 𝑡 < 4 16 − 2𝑡, 4 < 𝑡 < 8 0, 𝑡 > 8 Plot g1 g2 g3 t = linspace(-5,10); g1 = -4 - 2*t; g2 = -4 + 3*t; g3 = 16 - 2*t; g = g1.*(-2<t & t<=0)... + g2.*(0<t & t<=4)... + g3.*(4<t & t<=8); plot(t,g) 1- 2- 3- 4- 5- 6- 7- g1 g2 g3
  • 40. if/elseif/else Statement Script Minimal MATLAB 39 if statement Statement Group 1 False True End Statement Group 2 if expression statements elseif expression statements else statements end
  • 41. Creation Script Minimal MATLAB 40 Switch Statement False True Flowchart match case, k case end False case statement, k True switch switch_expression case case_expression statements case case_expression statements : otherwise statements end
  • 42. Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 41 Conditional control statements Loop control statements
  • 43. Loop control statements Script Minimal MATLAB 42 for (Iterative Loop) while (Conditional Loop) continue, break for index = start:increment:end statements end while expression statements end
  • 44. Agenda Introducing MATLAB – Language of technical computing Minimal MATLAB MATLAB Desktop Computing with MATLAB Array – creation & working Plotting – creating & visualizing Automating commands – creating, saving & executing script file Functions – creating & executing a function file 43 Conditional control statements Loop control statements
  • 45. Creation Function Minimal MATLAB 44 Overview SYSTEM [Mathematical model of Physical Phenomenon] (function file) Set of inputs Set of outputs 1 2 3 m 1 2 3 n [System] Electrical Networks Communication System Control System Thermodynamic System Computer system, etc [Input variables] current, voltage, power, energy, temperature, data [Output variables] current, voltage, power, energy, temperature, Processed data function [out1, out2, ...] = func_name(in1, in2, ...) declares the function func_name, and its inputs and outputs
  • 46. Creation Function Minimal MATLAB 45 Example 𝐻 = 𝑦 𝑥 = 1 1 + (𝜔𝑅𝐶)2 Black Box X Y function H = lp(R,C) w = logspace(-2,6); H = 1./sqrt(1 + (w*R*C).^2); semilogx(w,H) xlabel('Angular frquency, w (rad/s)'); ylabel('System Response'); title('Low-Pass frequency response'); 1- 2- 3- 4- 5- 6- Source: MATLAB An Introduction with Applications, Amos Gilat, 4e
  • 48. Creation Function Minimal MATLAB 47 Example Black Box 𝑇 𝑇𝑑 𝑇𝑤 𝐵𝑃 𝑅𝐻 𝑅𝐻 = 100 𝑒 𝑒𝑠 𝑇𝑑 = 243.5 ln( 𝑒 6.112 ) 17.67 − ln( 𝑒 6.112 ) 𝑇𝑑, dew point temperature °𝐶 𝑇, dry-bulb temperature °𝐶 𝑇𝑤, wet-bulb temperature °𝐶 𝐵𝑃, barometric temperature in millibars 𝑅𝐻, relative humidity in % 𝑃𝑠 = 6.112 exp 17.67𝑇 𝑇 + 243.5 𝑃𝑤 = 6.112 exp 17.67𝑇𝑤 𝑇𝑤 + 243.5 𝑒 = 𝑒𝑤 − 𝐵𝑃 𝑇 − 𝑇𝑤 0.00066(1 + 0.00115𝑇𝑤) Source: MATLAB An Introduction with Applications, Amos Gilat, 4e
  • 49. Creation Function Minimal MATLAB 48 Example function [Td, RH] = DewptRhum(T,Tw,BP) es = 6.112*exp((17.67*T)/(T + 243.5)); ew = 6.112*exp((17.67*Tw)/(Tw + 243.5)); e = ew - BP*(T - Tw)*0.00066*(1 + 0.00115*Tw); RH = 100*(e/es); Td = (243.5*log(e/6.112))/(17.67 - log(e/6.112)); 1- 2- 3- 4- 5- 𝑇 = 25°𝐶, 𝑇𝑤 = 19°𝐶, 𝐵𝑃 = 985 𝑚𝑖𝑙𝑙𝑖𝑏𝑎𝑟 Calculate 𝑻𝒅 =? , 𝑹𝑯 =? 𝑇 = 36°𝐶, 𝑇𝑤 = 31°𝐶, 𝐵𝑃 = 1020 𝑚𝑖𝑙𝑙𝑖𝑏𝑎𝑟
  • 51. More on MATLAB 1. MATLAB Tutorials 2. Demo and Webinars 3. Documentations 4. MATLAB Central (User Community) www.mathworks.com
  • 52. Reference 1. Getting started with MATLAB, A quick introduction for scientists and engineers, Rudra Pratap, Indian edition 2. MATLAB An Introduction with Applications, Amos Gilat, 4e 3. Matlab - A Practical Introduction to Programming and Problem Solving, Stormy Attaway, 2e 4. Essential MATLAB for Engineers and Scientists, Brian D. Hahn & Daniel T. Valentine 5. A Guide to MATLAB for Beginners and Experienced Users, Hunt Lipsman & Rosenberg
  • 53. THANKS We speak MATLAB! ASHISH MESHRAM meetashish85@gmail.com www.facebook.com/ashishmeet