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OFDM orthogonality using IFFT/FFT

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Hi everyone.
Just a question..
How does IFFT and FFT help obtaining and maintaining the orthogonality between the ofdm symbols?
Thanks
 

The complex sinusoids of the form e^(j*2*pi*k*n/N) are orthogonal to each other. The output of IFFT block on the OFDM transmitter side is nothing but a sum of such complex sinusoids, each having different amplitude and phase (corresponding to a complex symbol). While doing FFT operation, we correlate the received signal with each complex sinusoid to find what magnitude and phase of that complex sinusoid is present in the signal. Since every complex sinusoid is orthogonal to every other complex sinusoid, the correlation result of a complex sinusoid with the received signal does not have any interference from other complex sinusoids.
 
Thanks for your very good response and clear explanations.

Do you have any reference ( or can yourself) provide me with some appropriate mathematical equations on orthogonality concept please?

Thanks

Regards
 

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