Basics of MATLAB and Beyond

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$Algoritmos de para calcular la dimensiÃ³n fractal de seÃ±ales 1D La ...$

x 294x1 2352 double arrayxi 50x50 20000 double arrayxiv 1x50 400 double arrayy 294x1 2352 double arrayyi 50x50 20000 double arrayyiv 1x50 400 double arrayz 294x1 2352 double arrayzi 50x50 20000 double arrayGrand total is 8711 elements using 68314 bytesWe now have three new matrix variables xi, yi, and zi that correspondto the interpolated data. We make a plot of the original data and theinterpolated surface:plot3(x,y,z,’o’)hold onsurf(xi,yi,zi)colormap(autumn)axis tightWhere the points of the rectangular interpolation grid lie outside theconvex hull defined by the data, the values are interpolated as NaN andare omitted from the surface plot. There are a variety of ways to do theinterpolation; these are described in the help entry for griddata. Wecan use the interpolated data to plot a contour map of the seamount:contour(xi,yi,zi)36.2 Triangular Griddingmatlab comes equipped with the following functions for use in definingtriangular grids:griddata delaunay trimesh dsearchconvhull voronoi trisurf tsearchThe idea is that for any set of points (distinct and with no colinearsubsets) in two dimensions, a set of triangles can be defined such that(1) no points lie within any triangle’s circumcircle and (2) the set completelycovers the convex hull of the points. This idea is illustrated in thisc○ 2000 by CRC Press LLC
diagram. Such a triangular grid can be calculatedfor our seamount example of the last section. Thetriangles are defined using the delaunay function:3>> tri = delaunay(x,y);>> tri(563:end,:)ans =2 4 71 2 68 1125 245 59We have displayed the last few lines of the M × 3 matrix tri, whichdefines the triangles by a set of triplets that are indices into the x and yvectors. For example, the four triangles we have displayed in ans are〈( ) ( ) ( )〉1: x(2),y(2) x(4),y(4) x(7),y(7)〈( ) ( ) ( )〉2: x(1),y(1) x(2),y(2) x(6),y(6)〈( ) ( ) ( )〉3: x(8),y(8) x(3),y(3) x(11),y(11)〈( ) ( ) ( )〉4: x(25),y(25) x(245),y(245) x(59),y(59)We can use this triangulation matrix to plot a surface of the seamountdata; each face of the surface is one of the triangles:trisurf(tri,x,y,z)hold onplot3(x,y,z,’o’)axis tightThe functions trisurf and trimesh do not create surface objects;rather, they create patch objects.37 Three-dimensional Modelling37.1 PatchesIn this section we discuss the representation of real-world objects. Suchobjects are built up using their faces (the six faces of a cube, for example).In matlab “faces” are patches, and are defined using the patchcommand. Patches are blobs of coloured light (or ink) that are defined byvertex points. The line between the vertices is the patch’s edge and theenclosed area is the patch’s face. Before talking about three-dimensionalobjects we discuss the simpler two-dimensional patch.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
Page 119 and 120: display and the enclosed area is th
Page 121 and 122: MarkerEdgeColor = auto(and so on)In
Page 123 and 124: text(-.7,f(-.7),’f(X)’)But we h
Page 125 and 126: plt(x,f(x/2),’--’)Let us try ca
Page 127 and 128: Example: findobjThe findobj command
Page 129 and 130: 3. Add the property you want to set
Page 131 and 132: is numbered from top to bottom. The
Page 133 and 134: axis ijUsually images like this do
Page 135 and 136: 32.2 Tick Marks and Labelsmatlab’
Page 137 and 138: clfaxes(’pos’,[.2 .1 .7 .4])x =
Page 139 and 140: property to [0 top] in the call to
Page 141 and 142: object’s HorizontalAlignment and
Page 143 and 144: the required symbols. The m-file ti
Page 145 and 146: 1. Use graphical elements that serv
Page 147 and 148: uicontrol(’Callback’,’ezplot(
Page 149 and 150: uicontrol(’Pos’,[110 280 60 19]
Page 151 and 152: ’String’,’0.5’,’Style’,
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: x 294x1 ...y 294x1 ...z 294x1 ...Gr
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
Page 185 and 186: material dullThe default is materia
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 and 198: Exercise 6 (Page 59)You can generat
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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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