How to draw with semiology in MATLAB? - matlab

I have below the following information:
Q = [16,32,64,128,256,512,1024];
y = [9 9 9 9 5 0 0]*0.25;
y1 = [45 37 25 21 5 0 0]*0.25;
After multiplication with 0.25, they became as below
y
y2
and the above Q is the same
when I use the semiology plot function as below
semilogy(Q,y,Q,y1)
xlabel('Q oder');
ylabel('Coverage area m^2');
grid on;
I saw the x and y axis are different than what I have in Q and Y as shown below. Does this make sense? Do I apply it in the wrong way? If yes, May you assist me?

Check out xticks.
xticks(Q)
You may also be interested in xticklabels.
I don't have MATLAB here so I can't illustrate it, but it is what you are after.

Related

MATLAB: add a line to 3D plot

I would like to add a reference line on a 3d plot which follows the surface built with mesh(). I have 3 points in the x and y axis to build the line and so will need to interpolate to find z axis coordinates. Here is my code (with reproducible data) so far:
acceleration_dB = [0 109.3699 118.0084 133.9584 104.3017 110.5423 120.6332 140.6567 144.4194 129.7292]';
frequency = [1 50 50 50 100 100 100 100 100 500]';
voltage = [ 1.0e-04 * 0.0001 0.0968 0.1645 0.2983 0.0278 0.0368 0.0893 0.2785 0.4928 0.0780 ]';
xlin=linspace(0, max(frequency),33);
ylin=linspace(min(acceleration_dB), max(acceleration_dB),33);
[X, Y] = meshgrid(xlin,ylin);
f = scatteredInterpolant(frequency,acceleration_dB,log(voltage));
Z=f(X,Y);
figure();
mesh(X,Y,Z);
hold on
% Add threshold reference line
threshAccel = [97.0870 104.4212 109.5787]
threshFreq = [50 100 500]
Zthresh=f(threshFreq,threshAccel);
plot3(threshFreq,threshAccel,Zthresh,'Color','black','LineWidth',1)
Which gives:
What I would like is the black line following the plane of the surface for the whole length of the x-axis.
Any advice would be greatly appreciated. Thank you!
It is just a problem of range I think. This seems to work pretty well:
threshAccel = [97 97.0870 104.4212 109.5787]
threshFreq = [0 50 100 500]
but I am not sure about that 97 and 0 are the precise values. You should correct them probably.

Reconstruct 3D graph with surf in matlab?

I usually use surf function to plot 3D figures in matlab, but now the data is different, so I am using plot3 and I have the below figure. Do you have any idea how I reconstruct this figure to be more understandable even if by using different function.
To be more concise, I have X values, with each X value there is a value of Y and value of Z.
X = [ 1 ;2 ;4; 8; 16; 32; 64];
Z = [ 1; 1.8 ; 3.46 ; 6.74 ; 13.18 ; 24.34 ; 39.33]
Y = [0 ; 56.92 ; 91 ; 109.95 ; 119 ; 123.57 ; 125.51]
fig = plot3(log(X),Y,Z,'b.-');
XLABEL=[ 1 2 4 8 16 32 64];
set(gca,'XTickLabel',XLABEL);
set(gca,'XTick',log(XLABEL));
YLABEL= [ 0 30 60 90 120 150 180];
set(gca,'YTickLabel',YLABEL);
set(gca,'YTick',YLABEL);
ZLABEL= [0 5 10 15 20 25 30 35 40 45 50 55];
set(gca,'ZTickLabel',ZLABEL);
set(gca,'ZTick',(ZLABEL));
ylim([0 180]);
zlim([0,55]);
grid on
It's difficult to say, because we don't have a context. Common options are:
Plotting x/y and x/z in two separate plots. Precisely readable but difficult to get the connection between y and z. subplot
Plotyy, same as previous but in one plot. Y and Z values which correspond to the same x-value are aligned. plotyy
Use a plot3 as shown above, but connect each point to the x/z plane. (details below)
Project the line on one or multiple planes and draw it there. (Plot the line again, setting x, y or z to 7 0 or 180, which is the location of your axis)
If two axis are of major importance, use a simple 2d plot and represent the third dimension using color/dotsize/annotations etc...
Code for Option 3:
At the end of your code, add the following code:
X2=[X';X';nan(size(X'))];
X2=X2(:);
Y2=[Y';Y';nan(size(Y'))];
Y2=Y2(:);
Z2=[Z';zeros(size(Z'));nan(size(Z'))];
Z2=Z2(:);
hold on
plot3(log(X2),Y2,Z2,'--')
To understand it, you have to know that matlab skips nans while plotting. Thus the code above generates a independent line segment for each point, connecting it to the ground plane.

MATLAB Data Interpolation - Basics

I have a dataset consisting of a position and a signal - the signal is sampled at scattered positions (0, 115, 230....):
0 1.709219858
115 1.676595745
230 1.643026005
345 1.609456265
460 1.574940898
575 1.540898345
690 1.506855792
806 1.473286052
I would like to smooth this data and then interpolate it to fill in the intervening positions i.e.:
0 x
1 x
2 x
3 x
4 x
5 x
6 x
7 x
8 x
9 x
10 x
Where x is the smoothed signal. I've been smoothing data with the commands:
>> hann250=hanning(250);
>> smooth250=conv(signal,hann250,'same');
But I am not sure at all how to interpolate the data - what commands can I use and what would I type? I'm totally new to MATLAB! I am also not sure what interpolation method I need but I intend to try various one's and see (once I know how!). Thanks,
T
You could try spline interpolation:
http://www.mathworks.com/help/matlab/ref/spline.html
% read x, y from your file
xx = linspace(min(x), max(x), 1000); % generate 1000 equally spaced points
yy = spline(x,y,xx); % interpolate
plot(x,y); % original
hold all;
plot(xx,yy); % new
You can use interp1:
data = [0 1.7092
115.0000 1.6766
230.0000 1.6430
345.0000 1.6095
460.0000 1.5749
575.0000 1.5409
690.0000 1.5069
806.0000 1.4733];
index_interp = 0:806; %// indices on which to interpolate
data_interp = interp1(data(:,1),data(:,2),index_interp,'linear');
There are other interpolation methods available in addition to 'linear'; see the above link.

MATLAB: different alphas for different patch objects

Ok, so the patch function lets us draw multiple polygons with e.g.
patch(X,Y,'r')
where X and Y are m-by-n matrices. This draws n polygons with m vertices.
But what if I want each of those n polygons to have a unique alpha transparency value?
patch(X,Y,'r', ??? SOME CODE TO USE A VECTOR OF ALPHA VALUES ???)
The documentation is confusing me to death. I can't use a for loop, since I need to draw many patch objects very quickly. Could somebody kindly provide a code example? Thanks everyone.
Looks like the FaceVertexAlphaData property is the key: Here is some sample code:
X = [...
1 2 3 ; ...
4 5 6 ; ...
7 8 9 ; ...
10 11 12];
Y = [...
2 5 8; ...
3 6 9; ...
1 4 7; ...
-1 3 6];
h = patch( X, Y, 'r');
set(h,'FaceAlpha','flat','FaceVertexAlphaData',[.2; .4; .8])
docsearch patch properties for more information.

Generalize this matlab code for non-square matrices

I am working on some fourier transform code in matlab, and have come across the following:
xx = meshgrid(1:N);
% Center on DC
xx = xx - dcN;
% normalize dynamic range from -1 to 1
xx = xx./max(abs(xx(:)));
% form y coordinate from negative transpose of x coordinate (maintains symmetry about DC)
yy = -xx';
% compute the related radius of the x/y coordinates centered on DC
rr = sqrt(xx.^2 + yy.^2);
How can I generalize this for non-square matrices? This code is assuming my matrix is square, so dcN is the center of the square matrix (in other words, with 11x11, dcN = 6).
The math doesnt work out for that yy variable when the transpose is taken for a non-square matrix.
I have tried to figure out if I can make a meshgrid going from "top to bottom" instead of left to right - but I havent been able to figure taht out either.
Thanks
I have tried to figure out if I can
make a meshgrid going from "top to
bottom" instead of left to right - but
I havent been able to figure taht out
either.
>> N=5
N =
5
>> rot90(meshgrid(N:-1:1))
ans =
1 1 1 1 1
2 2 2 2 2
3 3 3 3 3
4 4 4 4 4
5 5 5 5 5
From your question I guess that you want to find rr, i.e. the distance of any element in the matrix from the center.
If you want this for a M-by-N array, you'd do the following
%# note that using meshgrid instead of ndgrid will swap xx and yy
[xx,yy] = ndgrid(-(M-1)/2:(M-1)/2,-(N-1)/2:(N-1)/2);
%# normalize to the max of xx,yy
nrm = max((M-1)/2,(N-1)/2);
xx = xx./nrm;
yy = yy./nrm;
rr = sqrt(xx.^2+yy.^2)