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Assume that we have an AWGN channel with two inputs (A,B) and the o/p is written as Y = A + g B + Z where Z is an independent Gaussian noise with zero mean and unit variance and g is a constant channel gain. Also, the input energy is constrained as $E_A^2 + E_B^2 = P$.

what is the channel capacity in case A, B independent, dependent?

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