2) compute the kinetic energy $KE = 0.5\times(u_{(t)}^2 + v_{(t)}^2)$, where $u_{(t)}$ & $v_{(t)}$ are the current velocity timeseries and then calculate the power spectral density (i.e. using Matlab's pwelch) of the resulting KE?
Any guidance with the theory or practical calculation would be very much appreciated.
Thank you.