Hi Don,
I had a quick glance on your VI and the formula in it. This formula
contains terms like fcc(taumax + tau) which IMO are meant to read:
value of the (time dependent) function fcc at time (taumax+tau). In
your code however you calculate the product fcc * (taumax + tau) which
is of course
Hello Franz:
I have contacted and left messages with the authors of the article
that I saw the formula in but your argument makes sense. I am
familiar with the FFT and correlation process and in fact we use the
hanning window to reduce the artifacts of the discrete fourier
transform just as you
Per one of the authors:
As for the nonsymmetry coefficient, this
integral is just a measure of the mirror symmetry of fcc around
taumax.
It would be zero if perfectly symmetric. The integration should really
be from 0 to +infinity, but as before, outside of some range of tau,
both fcc(taumax-tau)
This is an extremely good point and I need to contact the authors of
this article who first used the Nonsymmetry coefficient and determine
the correct usage. I guess the reason I assumed multiplication is
because the value of fcc at (tau_max - tau) over the period of the
integration can result in
The problem that the function is not defined at negative times tau
is a common one: it also happens e.g. in cross- and auto-correlation
formulae. A real-world sampled signal always is measured during a
finite period of time (mostly starting by convention at t=0), but
mathematically the formulae