Velocity autocorrelation in time

So I need to calculate velocity autocorrelation for my 2D experiments. I have Vx and Vy and I have their magnitude V_mag for 100 timesteps respectively. What would be the best way to find the veloity autocorrelation?

Should I just use the autocorr function on V_mag? or find autocorrelation on vx and vy separately and then plot them ?

[NAVNEET NAYAN]

https://in.mathworks.com/matlabcentral/answers/395740-velocity-auto-correlation-using-autocorr

You please check the above link.

Answer 1

[Sarthak]

Hi,

You can use either the magnitude of the velocity 'V_mag' or the velocity components 'Vx' and 'Vy' separately.

Using the 'autocorr' function on 'V_mag' is a valid approach. This will give you the autocorrelation of the magnitude of the velocity vector over time, which can be a useful summary of the overall dynamics of the system.

Alternatively, you could calculate the autocorrelation of 'Vx' and 'Vy' separately. This would allow you to examine the correlations between the x and y components of the velocity independently.

To calculate the autocorrelation of 'Vx' and 'Vy' separately, you can use the 'xcorr' function in MATLAB. You can refer to the following documentation for the same:

Cross-correlation - MATLAB xcorr (mathworks.com)