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How do I fix this error?

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Byungho
Byungho on 4 Apr 2024
Edited: cui,xingxing on 27 Apr 2024
deltat=0.1;
nsamples=2^10;
fs=1/deltat;
time=[0 : deltat : deltat*(nsamples-1)];
psdtot(1:nsamples/2+1) = zeros(1,nsamples/2+1);
nblock = 10;
for k=1:nblock
for i=1: nsamples
ydata(i,:) =5+10*cos(2*pi*time+pi/6)+15* randn(1);
end
[pxx,f] = periodogram(ydata,rectwin(nsamples),nsamples,fs);
size(psdtot)
size(pxx)
psdtot = psdtot + pxx/nblock;
end
ans = 1x2
1 513
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ans = 1x2
513 1024
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Arrays have incompatible sizes for this operation.
figure(1);
plot(time,ydata);
I'm trying to generate Gaussian noise from x(t)=5+10*cos(2*pi*t+pi/6)+G(sigma,t)
G(sigma,t) is Gaussian noise with a standard deviation of 15 (sigma G=15), detat=0.1(s), and nsample=2^10.
It is the start of calculating Power Spectral Density with FFT.
The overall variance of the signal is (sigma g)^2+(A)^2/2 as expected.
The generated random signal should be sinusoidal because X(t) has the cosine factor.
  1 Comment
Torsten
Torsten on 4 Apr 2024
You cannot add arrays of size 1x513 and 513x1024 (see above).

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Accepted Answer

cui,xingxing
cui,xingxing on 5 Apr 2024
Edited: cui,xingxing on 27 Apr 2024
You should make sure that the array dimensions in the arithmetic are consistent, for example I changed your psdtot variable to a column vector. As far as I remember, matlab supports automatic dimension expansion since R2016a/b.
deltat=0.1;
nsamples=2^10;
fs=1/deltat;
time=[0 : deltat : deltat*(nsamples-1)];
psdtot(1:nsamples/2+1) = zeros(1,nsamples/2+1);
psdtot = psdtot(:); % here
nblock = 10;
for k=1:nblock
for i=1: nsamples
ydata(i,:) =5+10*cos(2*pi*time+pi/6)+15* randn(1);
end
[pxx,f] = periodogram(ydata,rectwin(nsamples),nsamples,fs);
psdtot = psdtot + pxx/nblock;
end
figure(1);
plot(time,ydata);
-------------------------Off-topic interlude, 2024-------------------------------
I am currently looking for a job in the field of CV algorithm development, based in Shenzhen, Guangdong, China. I would be very grateful if anyone is willing to offer me a job or make a recommendation. My preliminary resume can be found at: https://cuixing158.github.io/about/ . Thank you!
Email: cuixingxing150@gmail.com
  1 Comment
Derek
Derek on 9 Apr 2024
Edited: Derek on 9 Apr 2024
So using this data provided how do you plot the psd vs frequency? In a log log plot. Do you have to do the fgts prior to the peridogram

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