Basics of MATLAB and Beyond

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x = linspace(lims(1),lims(2));y = feval(f,x);clfplot(x,y)(This trick is used in the m-file fplot which is a more elaborate versionof our funplot. fplot adapts the plotting grid to the local behaviourof the function, putting in more points where the gradient is steep.)Exercise 11 (Page 86)The “stuck” in question is indicated by the arrow in the following plot:>> t = {’help’ spiral(3) ; ...eye(2) ’I’’m stuck’};>> tt = {t t ;t’ fliplr(t)};>> tt{2,2}{2,1}(5:9)ans =stuck>> cellplot(tt)helphelpI’m stuckhelpI’m stuckhelpI’m stuckI’m stuckExercise 12 (Page 94)The difference between meshgrid and ndgrid for less than four inputarguments is that the first two output arguments are transposed. Thismakes it convenient to do x-y plots using the [x,y] outputs of themeshgrid command. The outputs of the ndgrid command follow the logicalordering of indices in matlab: if[u,v,w] = ndgrid(...) then u’selements will vary over its rows, v’s elements will vary over its columns,and w’s elements will vary over its pages.Exercise 13 (Page 97)The distance d of each point from (x 0 ,y 0 ) is given by:d = √ (x − x 0 ) 2 +(y − y 0 ) 2 ,so we calculate this for the centres of the red, green, and blue regions.Then we find the points outside the radius and set them equal to zero:c○ 2000 by CRC Press LLC
R = 1; N = 200;[x,y] = meshgrid(linspace(-2,2,N));r = sqrt((x + 0.4).^2 + (y + 0.4).^2);ind = find(r>R);r(ind) = 0;g = sqrt((x - 0.4).^2 + (y + 0.4).^2);ind = find(g>R);g(ind) = 0;b = sqrt(x.^2 + (y - 0.4).^2);ind = find(b>R);b(ind) = 0;rgb = cat(3,r,g,b);imagesc(rgb)axis equal offYou may find that the image on the screen has been dithered because wenow have a very large number of colours. You might like to investigateother combinations of red, green, and blue matrices, for example:r = peaks;g = r’;b = fftshift(r);Mixing linear ramps of colour in different directions is interesting. Beadventurous!Exercise 14 (Page 115)Since we know the dimensions of the borders in pixels, we set the figure’sunits property to pixels. It is then just a matter of taking into acountthe correct number of borders when defining the figures’ positions which,remember, don’t include the borders. The following code does the job.We start by getting the size of the screen (the root object, whose handleis alway zero) in pixels.set(0,’Units’,’pixels’)screensize = get(0,’ScreenSize’);edgethickness = 5;topthickness = 10;scr_width = screensize(3);scr_height = screensize(4);figwidth = scr_width/2 - 2*edgethickness;figheight = scr_height/2 - ...2*(edgethickness + topthickness);pos1 = [edgethickness,...edgethickness,...figwidth,...figheight];c○ 2000 by CRC Press LLC
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BASICS OFMATLAB®and Beyondc○ 200
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Library of Congress Cataloging-in-P
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typing pwd (print working directory
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ContentsIBasics of MATLAB1 First St
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20 Time-Frequency Analysis21 Line A
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39Answers to Exercises (Part I)40 A
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Set → Getting Started with MATLAB
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1.5 The Colon OperatorTo generate a
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matlab will recall the last command
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a = zeros(2,3)a =0 0 00 0 0>> b = o
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[a a(a)]ans =1 2 3 1 4 74 5 6 2 5 8
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a + bans =11 3344 6677 993.8 Transp
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4.2 Adding PlotsWhen you issue a pl
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x = [[1 2 3 4]’ [2 3 4 5]’ [3 4
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4.7 AxesSo far we have allowed matl
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v =1122>> v*uans =1 2 0 11 2 0 12 4
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max returns a vector containing the
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s = 100*spiral(3)s =700 800 900600
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We can plot the surface z as a func
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The contour function plots the cont
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m = gray(8);colormap(m)imagesc(1:10
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hold onplot3(x(ind),y(ind),z(ind),
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z = 5*ones(3,3)z =5 5 55 5 55 5 5>>
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contour(x,y,z,30);You may have noti
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variables that are local to themsel
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SwitchThe basic form of a switch st
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i =i =123136Vectorised Codematlab i
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9.1 MATLAB FormatTo save all the va
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11 StartupEach time you start matla
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Where p i is the population for yea
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NaNs by leaving them off the plot.
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clfpolar(t,gdb)In this case you mus
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-0.5000-0.3750-0.2500-0.125000.1250
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the periodograms of the blocks, and
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plot(y(1:1000))axis([0 1000 -5 5])z
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comet(x,y)(You can get a three-dime
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By clicking within the panner box a
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x = linspace(-1,1,8192);Fs = 1000;y
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23.3 Graphical Object Hierarchymatl
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Now we need to get the handles of a
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Beyond the BasicsPreludeThis part o
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clfgplot(A,[x y])axis off(Try zoomi
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str =you’re the one>> str = ’
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strrep(str,’go’,’am’)ans =I
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ans =3.14159e+100Some additional te
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eval(str)v =1 2 3 4 5The eval(str)
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Inline objects, like every other ma
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a(1,1) = {[1 2 3]}a =[1x3double]or>
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t = {’help’ spiral(3) ; eye(2)
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meteo.Temperatureans =24ans =19.000
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3 >> a = [1 2 ;4 5 6;7 8 9]a =1 2 3
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[x,y] = meshgrid(1:5,1:3)x =1 2 3 4
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ans(:,:,2) =999And to sum over “p
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An Application of RGB ImagesTo see
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You can see that over the 8 time st
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name>> staff(2,1,2).name(5:9)ans =B
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q =7 8 96 1 25 4 3>> save saved_dat
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fid = fopen(’asc.dat’);The fope
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display and the enclosed area is th
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MarkerEdgeColor = auto(and so on)In
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text(-.7,f(-.7),’f(X)’)But we h
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plt(x,f(x/2),’--’)Let us try ca
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Example: findobjThe findobj command
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3. Add the property you want to set
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is numbered from top to bottom. The
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axis ijUsually images like this do
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32.2 Tick Marks and Labelsmatlab’
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clfaxes(’pos’,[.2 .1 .7 .4])x =
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property to [0 top] in the call to
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object’s HorizontalAlignment and
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the required symbols. The m-file ti
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1. Use graphical elements that serv
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uicontrol(’Callback’,’ezplot(
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Page 153 and 154: function exradio(action)if nargin =
Page 155 and 156: fail. One place to put variables th
Page 157 and 158: 34.7 Fast DrawingFor fast drawing o
Page 159 and 160: controlled by guide and which are a
Page 161 and 162: InvertHardcopy: [ {on} | off ]Paper
Page 163 and 164: Another option is to use an image f
Page 165 and 166: yur is the y coordinate of the uppe
Page 167 and 168: \end{center}\caption{This is the fi
Page 169 and 170: x 294x1 ...y 294x1 ...z 294x1 ...Gr
Page 171 and 172: diagram. Such a triangular grid can
Page 173 and 174: xt = x([1 9 10 1]);yt = y([1 9 10 1
Page 175 and 176: x = [0 0 .5 0.5 .5 1 11 .5 .5 .5];y
Page 177 and 178: fac2 = [1 2 61 6 31 4 61 6 5];The r
Page 179 and 180: t = linspace(0,2*pi,20);x = cos(t);
Page 181 and 182: N = 20;dt = 2*pi/N;t = 0:dt:(N-1)*d
Page 183 and 184: colouring of the sphere itself. To
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Page 189 and 190: first row of a by taking the column
Page 191 and 192: 38.3 Debuggingmatlab has a suite of
Page 193 and 194: 10: y = linspace(ycentre - L,ycentr
Page 195 and 196: We change variables:p ′ = C + Bx.
Page 197 and 198: Exercise 6 (Page 59)You can generat
Page 199: 33 ! 36 $ 39 ’ 42 * 45 - 48 034 "
Page 203 and 204: (The plot might take a few seconds
Page 205: % Reproduce the layers at the diffe
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