Basics of MATLAB and Beyond

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40 Answers to Exercises(Part II, Beyond the Basics)Exercise 7 (Page 74)To repeat the calculation for the case of 100 nodes, we do the following:dt = 2*pi/100;t = dt:dt:100*dt;x = cos(t)’;y = sin(t)’;xy = [x y];e = ones(100,1);A = spdiags(e,2 ,100,100) + ...spdiags(e,50,100,100) + ...spdiags(e,98,100,100);A = A +A’;subplot(221)spy(A)subplot(222)gplot(A,xy)axis equal offThe next part of the exercise is to change the connection matrix. Aninteresting one is the geometrically parallel network:A = spdiags(e, 25,100,100) + ...spdiags(e,-75,100,100);A = fliplr(A);subplot(221)spy(A)subplot(222)gplot(A,xy)axis equal offExercise 8 (Page 75)This will produce a list of the ascii characters corresponding to theintegers from zero to 255:I = (0:255)’;[int2str(I) blanks(256)’ char(I)]Some of the output is shown below:c○ 2000 by CRC Press LLC
33 ! 36 $ 39 ’ 42 * 45 - 48 034 " 37 % 40 ( 43 + 46 . 49 135 # 38 & 41 ) 44 , 47 / 50 2Typing char(7) rings the bell.Exercise 9 (Page 80)The strvcat function is used instead of char because it ignores emptystrings in the input; the char function doesn’t:>> char(’’,’The’,’’,’quick’)ans =Thequick>> strvcat(’’,’The’,’’,’quick’)ans =ThequickIf char were used instead of strvcat, the result would always begin witha blank line.Exercise 10 (Page 83)The problem is to deal with the two cases: (1) where the name of afunction or m-file is given, such as ‘sin’, and (2) where the function itselfis given, such as ‘sin(x)’. The difference here boils down to whetherthe string input contains brackets or not (see hint). In other cases thestring input might not contain brackets, but would contain charactersused in defining a function, such as +, -, *, /, or. (as in t.^2). Theascii values for these characters are all less than 48, so we detect thepresence of a function (rather than a function name) by checking theinput string for ascii values less than 48. If this is the case, we makethe input string into an inline function before passing it to feval:function funplot(f,lims)% Simple function plotter.% Test for characters whose presence would imply that f% is a function (not a function name):if any(f
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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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Page 149 and 150: uicontrol(’Pos’,[110 280 60 19]
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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 187 and 188: time taken by this routine to calcu
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: Exercise 6 (Page 59)You can generat
Page 201 and 202: R = 1; N = 200;[x,y] = meshgrid(lin
Page 203 and 204: (The plot might take a few seconds
Page 205: % Reproduce the layers at the diffe
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