Derivation of DFT equation for BASEBAND 2FSK

[Ralphy007]

The attachment shows my attempt at deriving the dft equation for baseband 2FSK.

Although the equation I have derived is not correct, I believe its not far away.

I have already done it for time periods Tb and 2Tb, were Tb is the bit period, and the equations seem correct.

The attached file is for 3Tb, which I am having difficulty with.

If you read the attachment it will be obvious I am not a mathematician as I have made some uniformed assumptions in an effort to get the correct answer.

By the way I have been using SIMULINK to test/prove my theory.

Many thanks