Introduction to MATLAB

Introduction to MATLAB and SimulinkPresented by:

Ravikiran B. A.

Asst. Professor, Dept of ECE

K. S. School of Engineering and Management 2

What is MATLAB®?• “The Language of Technical Computing”• Numerical Programming Environment• MATLAB - MATrix LABoratory• High-Level Interpreted Language• Uses:

• Analyze Data• Develop Algorithms• Create Models and Applications.

• Multidisciplinary Applications

Introduction to MATLAB and Simulink

• Acquire and Analyze Data from different sources• Data from Measuring and Sensing Instruments• Recorded Data (Spreadsheets, text files, images, audio files, etc)

• Analyze Data using different tools• Develop Functions and Algorithms• Visualize Data in terms of graphs, plots, etc• Simulink is used to Develop Models and Applications• Deploy Code as Standalone Applications

What Can I Do with MATLAB?

• MATLAB is a Multi-discipinary Tool• Can be used in any Numerical Computation Application

• 90+ Toolboxes in multiple fields• Mathematics(Symbolic Math, Statistics, Curve fitting, Optimization)• Communications & Signal Processing (RF, LTE, DSP, Wavelets)• Machine Vision (Image Processing, Computer Vision)• Control Systems (Fuzzy Logic, Predictive Control, Neural Networks)• Parallel Computing and Distributed Computing• Statistics and Curve Fitting• Computational Finance ( Financial, Econometrics, Trading, etc) • Instrument Control, Vehicle Networks (CAN) , Aerospace

Where Can I use MATLAB?

• Simulink is a Block Diagram Environment for Multidomain simulation and Model-Based Design.

• Build, Simulate and Analyze models using Blocks.• Connect to External Hardware (FPGA, DSP Processors,

Microprocessor, Microcontroller, etc) and run the models there directly.

• Simscape (Physical Systems – Mechanical, Electrical, Hydraulic, etc)• SimMechanics ( Robotics, Vehicle Suspensions, HIL system support)• SimDriveline (1-D Driveline System Simulation)• SimHydraulics (Hydraulic Components)• SimRF (RF Systems)• SimPowerSystems (Electrical Power Systems)• SimElectronics (Motors, Drives, Sensors, Actuators, etc)

Where can I use Simulink?

• MATLAB has optimized mathematical algorithms which perform mathematical operations very efficiently.

• High speed of computation.• Easy to learn and write MATLAB code.• Tons of built-in code and freely available User-submitted code.

• Simulink uses Block approach with Drag-And-Drop.• Easy to use and implement models.• No hassle deployment of same model to multiple devices

Why bother using them?

MATLAB

The MATLAB Screen

• Command Window• Type commands

• Current Directory• View folders and m-files

• Workspace• View program variables• Double click on a variable

to see it in the Array Editor

• Command History• View Past Commands• Save a whole session

using Diary

• MATLAB works primarily (almost exclusively) with matrices.• MATLAB functions are optimized to handle matrix operations.• MATLAB can handle upto 13-dimensional matrices.• Loops can be vectorized for faster operations.

Matrices – Matrices Everywhere

• Matrix is a one- or multi-dimensional array of elements.• Elements can be numerical, variables or string elements.• By default, MATLAB stores numbers as double precision.• ALL data in MATLAB are viewed as matrices.• Matrices can be:

• Created Manually by User• Generated by MATLAB Functions• Imported from stored databases or files

Matrices - Arrays and Vectors

• Unlike C, MATLAB is an interpreted language. So, there is no need for Type Declaration.

• A single variable is interpreted as 1x1 matrix.>> a = 5

• Arrays are represented as a series of numbers (or characters) within square brackets, with or without a comma separating the values.

>> b = [1 2 3 4 5] % Percentage Symbol indicates Comment

b = 1 2 3 4 5

Array Declaration

• 2-D or Multidimensional Arrays are represented within square brackets, with the ; (semicolon) operator indicating end of a row.

>> c = [1 2 3 ; 4 5 6 ; 7 8 9 ; 10 11 12]

10 11 12

• c is now a 2-D array with 4 rows and 3 columns

Note : Variable names are case sensitive and can be upto 31 characters long, and have to start with an alphabet.

Multidimensional Arrays

• Character strings are treated as arrays too.>> name = 'Ravi’

is the same as >> name = [‘R’ ‘a’ ‘v’ ‘i’]

And gives the output:

name =Ravi

• Strings and Characters are both declared within SINGLE quotes (‘ ’)

Strings

• Unlike in case of C, MATLAB array indices start from 1.

>> d = [1 2 3 ; 4 5 6] d = 1 2 3 4 5 6

• Addressing an element of the array is done by invoking the element’s row and column number.

• In order to fetch the value of an element in the 2nd row and 3rd column, we use:

>> e = d(2,3)e =

Array Indices

• Rather than addressing single elements, we can also use commands to address multiple elements in an array.

• The ‘:’ (colon) operator is used to address all elements in a row or column.

• The ‘:’ operator basically tells the interpreter to address ALL elements.

• The ‘:’ operator can also be used to indicate a range of indices.

Addressing multiple elements

• Consider the earlier example: d = [1 2 3; 4 5 6]

• >> f = d(1, :) % Address All elements of 1st Row f = 1 2 3

• >> g = d(:,2) % Address All elements in 2nd Column g = 2 5

>> h = d(1:2,1:2) %Address Rows from 1 to 2 and Columns from 1 to 2 h = 1 2 4 5

• In some cases, we need to generate large matrices, which is difficult to generate manually.

• There are plenty of built-in commands for this purpose!• >> i = 0:10 % Generate numbers from 0 to 10 (Integers) i = 0 1 2 3 4 5 6 7 8 9 10

• >> j = 0:0.2:1 % Generate numbers from 0 to 1, in steps of 0.2 j = 0 0.2000 0.4000 0.6000 0.8000 1.0000

• >> k = [1:3; 4:6;7:9] % Generate a 3x3 matrix of numbers 1 through 9 k = 1 2 3 4 5 6 7 8 9

Generating Matrices

• >> l = ones(3,2) %Generate a 3x2 matrix populated with 1s l = 1 1 1 1 1 1

• >> m = zeros(2,4) %Generate a 2x4 matrix of 0s m = 0 0 0 0 0 0 0 0

• >> n = rand(3,4) % Generate a 3x4 matrix of random numbers (Between 0 and 1) n = 0.8147 0.9134 0.2785 0.9649 0.9058 0.6324 0.5469 0.1576 0.1270 0.0975 0.9575 0.9706

Generating Matrices

• x = linspace(a,b,n) % Generates n linearly-spaced values between a and b (inclusive)

>> x = linspace(0,1,7)x = 0 0.1667 0.3333 0.5000 0.6667 0.8333 1.0000

• x = logspace(a,b,n) % Generates n values between 10a and 10b in logarithm space

>> x = logspace(0,1,7)x =

1.0000 1.4678 2.1544 3.1623 4.6416 6.8129 10.0000

Generating Range of Values

• Operations upon Matrices can be of two types:• Element-wise Operation• Matrix-wise Operation

• Common Arithmetic Operations:• Addition (+)• Subtraction (-)• Multiplication (*)• Division (/)• Exponentiation (^)• Matrix Inverse (inv)• Left Division (\) [A\B is equivalent to INV(A)*B]• Complex Conjugate Transpose (’)

Matrix Operations

• By default, the Operators perform Matrix-wise operations.• During Matrix-wise operations, care must be taken to avoid

dimension mismatch, specially with exponentiation, division and multiplication.

• In case of scalar + matrix operations, matrix-wise operations are equivalent to element-wise operations.

• ie.

Scalar + Matrix = [Scalar + Matrix(i,j)]

Scalar * Matrix = [Scalar * Matrix(i,j)]• A dot operator(.) preceding the operator indicates Element-wise

operations.

Matrix Operations

• Let a = [2 5; 8 1]; % 2 x 2 Matrixb = [1 2 3; 4 5 6]; % 2 x 3 Matrixc = [1 3; 5 2; 4 6]; % 3 x 2 Matrix

• Matrix Addition (or Subtraction):>> y = b+c' % b and c have different dimensions.

y = 2 5 8 6 9 12

• Complement:>> d = c' % d is now a 2x3 matrix

d =1 5 4

Examples

• Matrix Multiplication (Or Division):>> x = b*c % b(2x3) * c(3x2) = y (2x2). No dimension mismatch

x =23 25

• In case of element-wise multiplication, the corresponding elements get multiplied (Matrix Dimensions must agree)

>> y = b .* d % b(2x3)*c(2x3). No dimension mismatch)y =

1 10 12 12 10 36

Multiplication

• Element-wise Exponentiation is NOT the same as Matrix-wide exponentiation.

• Matrix Exponentiation needs square matrix as input.>> a^2 % Matrix Exponentiation: ans = a * a

ans = 44 20 32 44

>> a.^2 % Element-wise Exponentiation: ans = a .* aans =

4 25 64 4

Exponentiation

• Matrices can be concatenated just like elements in a matrix.• Row-wise concatenation ( separated by space or commas)>> f = [b d]

f = 1 2 3 1 5 4 4 5 6 3 2 6

• Column-wise concatenation (separated by semicolon)>> g = [b ; d]

g = 1 2 3 4 5 6 1 5 4 3 2 6

Matrix Concatenation

• >> randn(n) % Generates a (n x n) Normally Distributed Random Matrix• >> eye(n) % Generates a (n x n) Identity Matrix• >> magic(n) % Generates a (n x n) Magic Matrix (Same Sum along Row,

Column and Diagonal)• >> diag(A) % Extracts the elements along the primary diagonal of Matrix A• >> blockdiag(A,B,C,..) % Generates a block diagonal matrix, with A, B, C, .. As

diagonal elements.• >> length(x) % Calculates length of a vector x • >> [m,n] = size(x) % Gives the [Rows,Columns] size of vector x• >> floor (x) % Round x towards negative infinity (Floor)• >> ceil (x) % Round x towards positive infinity (Ceiling)• >> clc % Clears Command Window• >> clear % Clears the Workspace Variables• >> close % Close Figure Windows• >>a = [] %Generates an Empty Matrix

Other useful basic functions

Function Description

Max(x) Return largest element in a vector (each column)

Min(x) Return smallest element in a vector (each column)

Mean(x) Returns mean value of elements in vector (each column)

Std(x) Returns standard deviation of elements in vector (each column)

Median(x) Returns median of elements in vector (each column)

Sum(x) Returns sum of all values in vector (each column)

Prod(x) Returns product of elements in vector (each column)

Sort(x) Sorts values in vector in ascending order

Corr(x) Returns Pair-wise correlation coefficient

Hist(x) Plots histogram of vector x

Common Statistics Functions

VISUALIZATIONS AND GRAPHICSGraphs, plots and Histograms

• MATLAB provides a wide variety of graphics to visualize data.• Graphics have Interactive tools to manipulate and extract

information from them.• Graphs can be saved, printed and downloaded in different

image formats for use elsewhere.• MATLAB is capable of:

• 2-D plots (Line, bar, area, Pie, histogram, stem, scatter plots, etc)• 3-D plots (Contour, surf, mesh, etc)• Image Processing (Histogram, Image display,etc)• Polar plots (Polar and Compass plots)• Vector plots (Feather and Compass plots)

MATLAB Graphics

• plot(xdata_1, ydata_1, ‘LineSpec_1’,.., xdata_n,ydata_n,’LineSpec_n’);

• xdata – Independent variable• ydata – Dependent Variable(s)• LineSpec –Line attributes (Marker Symbol, color, line style,

• Care must be taken to ensure that xdata and ydata have the same dimensions (no. of columns).

• If ydata has multiple rows, each row’s data will be overlaid on the graph.

2-D plots

The Figure Window

Edit Plot

Zoom In/Out

Pan Control

Rotate

Data Cursor

Insert Colorbar

Insert Legend

x = 0:0.1:2*pi; % Independent Variable : xy = sin(x); % Dependent Variable 1 : yz = cos(x); % Dependent Variable 2 : zfigure(1); % Create Figure No. 1.plot(x, y, 'r--', x, z, 'b-o'); % Plot y and z wrt xtitle('Sin(x) vs Cos(x)'); % Apply Title to Plotlegend('Sin(x)','Cos(x)'); % Include Legendxlabel('Independent Variable (x)'); % Label X-Axisylabel('Dependent Variables (y,z)'); % Label Y-Axis

Note: In plot, Line Attributes are enclosed in single quotes.• ‘r’ and ‘b’ here specify Line Colors (red and blue

respectively)• ‘--’ and ‘-o’ here indicate the Line Style (Dashed, and

Dashed with circles respectively)

2-D plot Example

2-D Plot Example

• Syntax: title(‘String to be displayed’);

• This command adds the string contents to the Title.

>>title(['Hello. The value of \pi = ',num2str(3.14159),' approximately']);

• Numerical content has to be first converted to string (num2str) and then appended as a string.

• In order to append strings, we use the comma operator, and enclose them within square brackets (remember, MATLAB sees everything as vectors!)

• Backslash Operator (\) is used to include special characters (Eg. \alpha, \beta, etc.)

Title of the Plot

• In case of multiple graphs in the same window, we use ‘legend’ to add legends, each corresponding to a separate graph/line.

• legend(‘label_1’, ‘label_2’, … , ‘label_n’);

• xlabel is used to label the X-axis, and ylabel is used to label the Y-axis.

• LATEX conventions can be used here as well.• \ for special characters, ^ for superscript and _ for subscript,

Axes Labels and Legend

• Plot command plots values in linear scale.• In case we need to plot values in logarithmic scale we use:semilogx(x,y) – Where only X-axis is in logarithmic scalesemilogy(x,y) – Where only Y-axis is in logarithmic scaleloglog(x,y) – Where both X and Y axes are in logarithmic scale

Logarithmic Scales

• In case multiple plots need to be added to the same graph, we use the ‘hold on’ command to tell MATLAB to ‘hold’ one graph while we plot the other ones on top of it.

• >> a = 1:10;• >> b = 1:0.5:10; % Two different independent variables in one graph• >> x = a.^1.5;• >> y = 10*sin(b);• >> plot(a,x,'r-*');• >> hold on; % Hold the graph• >> plot(b,y,'c-o');• >> hold off; % Once all graphs are plotted, stop adding more

graphs• >> legend('x = a^1^.^5','y = 10 sin(b)'); % (^ - superscript , _ - subscript)

Multiple Plots in the same graph

Multiple plots (using HOLD)

• In case we need to use multiple plots in the same figure window, we use the ‘subplot’ function.

• Syntax: subplot(m, n, index);

Where : m = No. of rows of plots to be in the window

n = No. of columns of plots to be in the window

index = The index of the plot to be shown

Example: To display a value as the 5th plot in a 2x3 alignment of plots, we write:>> subplot(2,3,5);>> plot(x, y, ‘r’);

Multiple plots in the same window

• Given:T = 0:1e-5:2e-3 % Time baseFc = 1e4; fm = 2e3% Signal Frequencies

Vm = 3V; Vc =5V % Signal Voltages

Wm = 2 π fm; Wc = 2 π fc % Angular Frequencies

• Plot the following signals:Modulating Signal : vm = Vm sin wmt

Carrier Signal : vc = Vc sin wct

• Plot the AM Wave:vAM = (Vc+Vm sinwmt)sin wct

Problem

• MATLAB also supports 3-D plots (x,y,z).

mesh – Draw mesh plot (wireframe)

surf – Draw shaded mesh plots

contour – Draw contour plots

plot3 – 3-D Line plot

• plot3 is used whenever Z needs to be plotted as a function of X and Y. This is a line plot in 3-dimensions

• Surf and mesh offer surface plots.• Contour plots provide projection in 2-D space.

3-D Plots

Example:

x = 0 : pi/50 : 10*pi;y = sin(x);z = cos(x);plot3(x,y,z)grid on;

3-D plots : plot3

• mesh is used to plot a wireframe plot of a variable z, which is a function of two variables x and y. [z = f (x,y)]

• Surf is used to plot a surface map of z as a function of x and y.• General syntax : surf(X, Y, Z)

mesh(X, Y, Z)• If x is a (1 x m) sized vector, and y is a (1 x n) sized vector, the

z vector has to be of size (m x n).• For every (x,y) pair, z has to have a corresponding value.

• meshgrid function can be used to create a 2-D or 3-D grid with the given reference vector values.

3-D plots : mesh & surf

Example:

[X,Y] = meshgrid(-8:.5:8);R = sqrt(X.^2 + Y.^2);Z = sin(R)./R; %Sinc function

%Mesh Plotsubplot(2,1,1);mesh(X,Y,Z);

% Surface Plotsubplot(2,1,2);surf(X,Y,Z);

3-D plot : mesh & surf

• contour function generates a 2-D contour map, from 3-D space.• Contours are color-mapped projection of 3-D surfaces onto 2-D

space.

• Example:[X,Y,Z] = peaks(25);

figure(1);subplot(2,1,1);surf(X,Y,Z);subplot(2,1,2);contour(X,Y,Z);

Contour plots

• In some cases, we need to visualize data both as surface/mesh plots, as well as contour maps.

• meshc and surfc provide Mesh and Surface plots respectively, with the corresponding contour plots shown below.

Surface + Contour Plots

Operators and Control Flow

• MATLAB allows the use of relational and logical operators such as:• == Equal To• ~= Not Equal To• < Smaller Than• > Greater Than• <= Lesser Than or Equal To• >= Greater Than or Equal To• & Logical AND• | Logical OR

• These Operators can be used for control and decision making.

Operators

• Just like in C-language, MATLAB allows for some flow control statements like:• If-else• For• While• Break• …

• Whenever control statements are used, end keyword is used to indicate end of the control statement loop.

• end replaces the curly brackets used in C/C++

Flow Control

• Syntax:

if(condition_1)Commands_1

elseif(condition_2)Commands_2

elseif(condition_3)Commands_3

elseCommands_n

Control Structure : if-else• Example:

If((a>3) &(b<5))x = [1 0];

elseif(((b==5))x = [1 1];

elsex = [0 1];

• Syntax:

for i = index_arrayMatlab Commands;

Control Structure: for • Examples:

for i = -1 : 0.01 : 1x = i^2+sin(i);

for k = [0.2 0.4 0.1 0.8 1.3]y = sin(k);

• MATLAB supports the while statement, but not the do-while statement.

Control Structure : while

Syntax:

while(condition)MATLAB Commands;

Example:

while((a>4) | (b==5))z = x + 1;

The break statement is used whenever we need to terminate the execution of a for or while loop.

• The find function in MATLAB is very useful for extracting index data from matrices, when used with relational operators.

• Example:>> x = rand(1,10); % Generates 1x10 matrix of random values>> y = x > 0.6 % Finds which of the values in x are greater than 0.6

y = 0 0 1 0 0 0 1 0 0 0>> y = find(x > 0.6) % Returns indices of values in x, which are greater than 0.6

y = 3 7

• In order to extract the values greater than 0.6, we can use:

>>y = x((x>0.6)) or y = x(find(x>0.6))y =

0.7507 0.6101

The find function

Scripts and Functions

• Scripts are programs written for interpreters (as opposed to compilers)

• Scripts automate execution of tasks for a particular application.• MATLAB scripts are based on C-language syntax• % symbol is used for single line comments. • MATLAB does not support multiline commenting.• MATLAB scripts can be divided into independently-executable

sections using the %% symbol (Section Breaks). This is very useful for larger programs with multiple sections.

• Scripts are stored with a .m file extension.

MATLAB Scripts

A Simple Script

• Script Editor window can be undocked from the command window (default in earlier versions of MATLAB).

• When the script is running, the variable attributes are shown in the Workspace window.

• Whitespaces are very useful for easy reading of code.• The initial comments serve as a quick reference with the help

command.

• Whenever we have huge programs, with repeated operations, it is preferable to use functions.

• Functions make code more readable and compact.• Functions speed up processing, and simplify the code.• MATLAB functions are indicated by a keyword function, and

can handle multiple variables.• MATLAB Functions are of three types:

• Inline Functions • Anonymous Functions• Standalone Functions

MATLAB Functions

• Inline Functions accept (usually numerical) input and return output.

• Function evaluation takes place in the current workspace.• Keyword used : inline• Example : Consider a function where I need to evaluate Cosine

• Invoke function cval anywhere within the program. • Inline functions utilize MATLAB’s symbolic math capability.

Inline Functions

>> cval = inline('sqrt(a^2+b^2-2*a*b*cos(theta))');>> d = cval(2, 3, pi/6)

d =1.6148

• An anonymous function is a function that is not stored in a program file, but is associated with a variable whose data type is function_handle.

• Can contain only a single executable statement.• Faster than inline functions.• Example : Evaluate Cosine Law (as earlier)

Anonymous Functions

>> cval = @(a,b,theta) sqrt(a^2+b^2-2*a*b*cos(theta));

>> d = cval(2,3,pi/6)

1.6148

• Commands executed in a separate workspace which is created whenever the function is called.

• Function files are saved with the same name as the function, with a .m extension.

• During function calls, input and output arguments have to be specified.

• The first (command) line of a Function M-file MUST be a function declaration line specifying input and ouput variables.

• Make sure that no undefined variable occurs as input to these commands!

Function Files

• File name : quadroots.m

• Calling the function quadroots

Function File Example

function [root1,root2] = quadroots(a,b,c)%quadroots calculates the roots of the quadratic equation given by:% f(x) = ax^2+bx+c% Given the coefficients a,b,c as input.root1 = (-b+sqrt(b.^2-4.*a.*c))/(2.*a);root2 = (-b-sqrt(b.^2-4.*a.*c))/(2.*a);end

>> [r1,r2] = quadroots(3,4,2)r1 =

-0.6667 + 0.4714ir2 =

-0.6667 - 0.4714i

1. Create a function that generates the factorial of a given number.

Problem

Importing and Exporting Data

• MATLAB variables and data can be imported from and exported to a variety of formats including:• MATLAB formatted data (.mat)• Text (csv, txt, delimited data)• Spreadsheets (xls, xlsx, xlsm, ods)• Extensible Markup Language (xml)• Scientific Data (cdf, fits, hdf, h5, nc)• Image (bmp, jpg, png,tiff,gif, pbm, pcf, ico, etc)• Audio (au, snd, flac, ogg, wav, m4a, mp4, mp3, etc)• Video (avi, mpg, wmv, asf, mp4, mov, etc)

Import and Export of Data

• Depending on the type of files containing the data, different MATLAB commands can be used to import or export data.

• Data import/export can be done in two ways:• Commands in Command Line• Right Click and Import/Export from Workspace/Command Window

• While importing or exporting data from scripts, we generally use the MATLAB commands.

• Right Click actions are used whenever we are importing data from or exporting data to files, while working in the Command window.

Import/Export

• csvread Read comma-separated value file• csvwrite Write comma-separated value file• dlmread Read ASCII-delimited file of numeric data into

matrix• dlmwrite Write matrix to ASCII-delimited file• textscan Read formatted data from text file or string• readtable Create table from file• writetable Write table to file• type Display contents of file

Text Files

Consider a text file Delhitemp.txt, containing daily average temperature data for 20 years (Month-Day-Year-Temp format)

We See that C is now a structure with 4 fields:C =

[7125x1 int32] [7125x1 int32] [7125x1 int32] [7125x1 double]

Now, I can assign the values to individual fields :>>TempVals = C{4} % { } accesses MATLAB ‘cell’ elements

Now, TempVals is a 7125x1 matrix of floating point values.

Text Import (.txt)

>> cd('C:\Users\Ravi\Desktop\matlab workshop files\Dataset files');>> fname = 'Delhitemp.txt'; % Name of file in current directory>> fileID = fopen(fname,'r'); % Open file, (r)ead only>> fileSpecs = '%d%d%d%f'; %Data format – int, int, int, float>> C = textscan(fileID,filespecs,'HeaderLines',1); %Scan text and extract data

• Let’s try plotting the temperature variation for the past 20 years!>>plot(TempVals); title(['Temperature Variations from ',num2str(C{3}(1,:)), ' to ', num2str(C{3}(end,:))]); xlabel('Days');ylabel('Temperature (F)');

Note: C{3}(1,:) accesses the first row and all columns (to extract the complete string) of Cell C’s field no. 3 (Year)Similarly, C{3}(end,:), extracts the last year value in the same field.

• Now, let’s try plotting the daily temperatures only for July 2013.

• We need to isolate the data pertaining to July in column 1 and 2013 in column 3.

>> Indices = find(C{1}== 7 & C{3}==2013);>> Plot(C{2}(Indices,:),C{4}(Indices,:));

Extracting Data

• C{2}(Indices,:) grabs the X-axis data (Days) for the selected range

• C{4}(Indices,:) grabs the Y-axis data (Temperature) for the corresponding days.

• The two lines can be written as:>> plot(C{2}(find(C{1}== 7 & C{3}==2013),:),C{4}(find(C{1}== 7 & C{3}==2013),:)) ;

• Most databases store data in CSV format (Comma Separated Value), where the comma is the delimiter.

• MATLAB’s csvread function makes importing CSV data easy.• Syntax: X = csvread(‘filename.csv’, row, col);• Here, Row and Col indicate the row and column number from

which scanning has to commence. (zero based)• In case the CSV files have headers, titles, explanations, etc, we

can skip those lines from the files and point the (Row, Col) values to the cell where the data begins.

• Once the import is done, X becomes a matrix of values where data is stored.

.csv files

• Let us try and extract some BSE data from 1990 to 2014.• Data is in the file bsedata.csv• Data is in the format: Year – Open – High – Low – Close• Since the Row 1 is just headers, we will skip that and load the

rest into a variable MarketData.>> MarketData = csvread('bsedata.csv',1,0);

• Now, all the data is stored in MarketData. Now we can assign them to the respective columns.

YearData = MarketData(:,1); OpeningData = MarketData(:,2);HighData = MarketData(:,3); LowData = MarketData(:,4); ClosingData = MarketData(:,5);

Example

• Now, let’s see the market trends..

Play around with the data

plot(YearData,OpeningData,'r',YearData,HighData,'m',YearData,LowData,'b',YearData, ClosingData,'c','LineWidth',2);

Alternatively, since all columns are of the same size, with the same independent variable in column 1, we can write:

plot(YearData, MarketData(:,2:end), ‘LineWidth',2);

• MATLAB variables can be exported into csv format for use with other applications too.

• This is achieved using the csvwrite function: • Syntax : csvwrite(‘filename’, Variable, Row, Col)• Example : If I want to write just the Opening and Closing

values from my data set, to a csv file named ‘BSEOpenClose.csv’:

• >> csvwrite('BSEopenclose.csv',[YearData OpeningData ClosingData],1,0);

• The file BSEopenclose.csv is written into the current directory, and contains the year, Closing Data and Opening Data, with data being written starting from 2nd row.

Writing to csv files

• In case data is stored in Excel Spreadsheets, MATLAB can extract data from that too.

• xlsread is used to read Excel Spreadsheets and extract data from it.

• xlsread can extract data from all pages or from a specified set of pages.

• xlswrite can be used to write MATLAB workspace variables and data into Excel Spreadsheets.

.xls and .xlsx files

• Syntax : num = xlsread(filename,sheet,xlRange);• Filename – String enclosed in quotes• Sheet – Worksheet number• xlRange – Range of cell values to be imported

• Example : tempData = xlsread('IndMinTemp.xls', 'A3:F114');

• This reads all values in the spreadsheet from Page 1 (as not specified), and from cells A3 through F114.

Importing Excel data

• Syntax : Status = xlswrite(filename,A,sheet,xlRange)• Filename – Name of the Excel File to be created.• A – Matrix/Vector to be stored in the Spreadsheet• Sheet – Sheet Number in the workbook• xlRange – Range of cells in which data is to be stored.• Status – 1 if successful, 0 in case of failure.

• Example: To save a variable Num in an excel sheet named “numericalvalue.xlsx’:

Status = xlswrite(‘numericalvalue.xlsx’, Num)

Exporting to Excel

• Get the spreadsheet file : Monthly_And_Annual_Rainfall.xls• Extract data into the workspace.• Plot the annual rainfall values for any 5 cities from 1951 to

2012, clearly indicating the cities.• Plot the seasonal rainfall for the same 5 cities for the year 1980

in another graph.

Problem

• MathWorks®, MATLAB®, Simulink® and the Mathworks Logo are all trademarks or registered trademarks of The MathWorks, Inc.

Acknowledgment

Introduction to MATLAB

matlab code

matlab functions

matlab array indices

school of engineering

matlab stores numbers

files introduction

matrices matrices

aerospace introduction

Engineering

Introduction to Matlab Matlab Fundamentals

Introduction to Matlab

Experiment 1 Introduction to MATLAB...

MATLAB/SimuLink. Preview of The Tutorial Introduction to...

Matlab day 1: Introduction to MATLAB

Introduction to MATLAB and MATLAB Programming

Introduction to MATLAB - University of...

Introduction to MATLAB · Introduction to MATLAB Numerical....

Introduction to Matlab

Matlab - An Introduction to Matlab

INTRODUCTION TO MATLAB - Boston University to MATLAB 12 ....

Introduction to MATLAB -...

Introduction to MATLAB -...