MATLAB ……………….matrix laboratory. Bhushan D Patil PhD Research Scholar Department of Electrical Engineering Indian Institute of Technology, Bombay Powai, Mumbai

What is MATLAB? MATLAB is a high-performance language for technical computing. It integrates computation, visualization, and programming in an easy-to- use environment where problems and solutions are expressed in familiar mathematical notation. Typical uses include 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

Starting and Quitting MATLAB  Starting MATLAB  Quitting MATLAB  MATLAB Desktop

Editor/Debugger

Array Editor

Matrices and Arrays A = [ ; ; ; ] A =  sum, transpose, and diag sum(A) ans = A‘ ans = diag(A) ans =

Generating Basic Matrices zeros All zeros Z = zeros(2,4) Z = 0 0 ones All ones F = 5*ones(3,3) F = rand Uniformly distributed random elements N = fix(10*rand(1,10)) N = randn Normally distributed random elements R = randn(4,4) R =

Concatenation B = [A A+32; A+48 A+16] B = Deleting Rows and Columns X = A; X(:,2) = [] X = inv(A) eig(A)

Subscripts A(1,4) + A(2,4) + A(3,4) + A(4,4) The Colon Operator 1:10 ans :-7:50 ans :pi/4:pi ans

The list of operators includes + Addition - Subtraction.* Element-by-element multiplication./ Element-by-element division.\ Element-by-element left division.^ Element-by-element power

Graphics

Figure Tools

Preparing Graphs x = -10:.005:40; y = [1.5*cos(x)+4*exp(-.01*x).*cos(x)+exp(.07*x).*sin(3*x)]; plot(x,y)

Multiple Data Sets in One Graph x = 0:pi/100:2*pi; y = sin(x); y2 = sin(x-.25); y3 = sin(x-.5); plot(x,y,x,y2,x,y3) legend('sin(x)','sin(x-.25)','sin(x-.5)')

Mesh and Surface Plots [X,Y] = meshgrid(-8:.5:8); R = sqrt(X.^2 + Y.^2) + eps; Z = sin(R)./R; mesh(X,Y,Z,'EdgeColor','black')

Programming  if, else, and elseif if A > B 'greater' elseif A < B 'less' elseif A == B 'equal' else error('Unexpected situation') end  switch and case switch (rem(n,4)==0) + (rem(n,2)==0) case 0 M = odd_magic(n) case 1 M = single_even_magic(n) case 2 M = double_even_magic(n) otherwise error('This is impossible') end

 For for n = 3:32 r(n) = rank(magic(n)); end  Nested for for i = 1:m for j = 1:n H(i,j) = 1/(i+j); end  while While(i<25) a=a+2; end  break

Toolbox available  Communications  Control System  Curve Fitting  Fuzzy Logic  Image Processing  Instrument Control  Robust Control  Signal Processing  System Identification  Virtual Reality  Wavelet