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Noise in communication system

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doodle12

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Hello all ,I need to know the step by step solution to the following problem :
In a transmission system,a noise process N(t) having a power spectral density GN(ω)= P²/p²+ ω², where P≥0 is a constant, is mixed with a signal Acos(ωot). Determine the average signal to noise ratio.
 

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