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Matlab help needed : Orthogonal Pol-Mux Channel Inputs

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S_O_A

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Hello,

I want to input two orthogonal polarization division multiplexed channels for optical communication. The desired modulation format of the channels is QPSK. I have generated that with pskmod command. Then I took a random value for theta and multiplied the two channels with the unitary matrix once. Something like this:

[E1; E2] = [cos(theta) -sin(theta); sin(theta) cos(theta)] [E1_in; E2_in]

Now will the two channels E1 and E2 be orthogonal? If this is so, the multiplication between conjugate of E1 and E2 should be zero, right?

But, even after normalizing the outputs, I am not getting zero, which probably means E1 and E2 are not orthogonal. Any ideas if I am missing some key issues?

Thanks in advance!

Roy
 

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