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I-Q help

Hello, Im trying to do a  8PSK modulation step by step, I dont want to use de MT toolkit. Im trying to do the I-Q graph but I want generate simple ecuations, general ecuations such as:

 

f(t)= r x cos (wc + teta)

 

I (t)= r x cos(teta) x cos (wt)

Q(t)= r x sin (teta) x sin (wt)

 

where the only value that I would give is R, the others I want to keep them generals

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