Don't see anything that looks like a phase shift in those signals; maybe there's a frequency difference between the two but hard to make much of the one that seems to have other stuff going on...
Try
figure
plot(signal) % all as are
figure
plot(signal.*[1 -1 1]) % flip (:,2)
which is essentially saying there's a 180-deg phase shift.
The height variable is just a linear trend; don't see there's anything to be done with it presuming both were measured at the same height at the same time you have no way to separate anything about what its effect may have been.
