Is the sole criterion for two signals to be orthogonal a cross correlation
type relation****p? Could two signals that have some frequency cancellation
when added together still be viewed as orthogonal?
For example. if x(t) has fourier transform X(f), which has a magnitude of
1 over some BW, B. And y(t) has fourier transform Y(f), has a magnitude of
1 over the same band.
If the sole requirement for signals to be orthogonal is int(x(t)*y(t))dt =
0 over a time interval and x(t)^2 + y(t)^2 = (x(t)+y(t))^2., this is an
enery/power like criterion' and the equation doesnt necessarily say
X(f)+Y(f) have to equal 1.41 over that the bandwith B. The equation just
alludes to the energy in the 2 singals needing to be preseved, not
necessarily the energy in any one particular frequency.
Could there be frequency cancellation/addtion in X(f)+Y(f) and the signals
still be deemed orthogonal as long as the power is conserved?
I hope im asking this question the right way..
