Question: Derive an expression for P E for binary coherent FSK if the frequency separation of the two transmitted signals is chosen to give a minimum

Derive an expression for PEfor binary coherent FSK if the frequency separation of the two transmitted signals is chosen to give a minimum correlation coefficient between the two signals. That is, evaluate т А' cos (o.t) cos(о, + До)i dt VE, E2P12

as a function of Δω and find the minimum value for R12. How much improvement in Eb / N0 in dB over the orthogonal-signal case is obtained?

' cos (o.t) cos(, + )i dt VE, E2P12

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