Mean of an oscillatory trajectory
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Ban
el 7 de Ag. de 2023
Respondida: Image Analyst
el 8 de Ag. de 2023
Hi,
I have a particle moving in oscillatory path. See the plot of distantce vs time plot. How do I find the mean trajectory ?
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Daniel Bengtson
el 7 de Ag. de 2023
p = polyfit(t,X,2); % fit a second order polynomial to the data
newT = linspace(min(t),max(t)); % 100 evenly spaced steps over the range of t
Y = polyval(p,newT); % evaluate the polynomial at these steps
plot(newT,Y);
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Daniel Bengtson
el 8 de Ag. de 2023
I should have thought on it more before posting. You are right to question my answer. Polyfit is just a least squares regression and given that I did not take any steps to enforce an intercept at zero, and that the error between the theoretical mean trajectory and raw signal would be relatively small near zero compared to near t max, it probably isn't as good of a fit as it could have been.
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