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k-receiver Gaussian BC. Consider the k-receiver Gaussian BC Y = X + Z, Y = Y;-1 + j, j [2 : k], where Z,

k-receiver Gaussian BC. Consider the k-receiver Gaussian BC Y = X + Z, Y = Y;-1 + j, je [2 : k], where Z,

k-receiver Gaussian BC. Consider the k-receiver Gaussian BC Y = X + Z, Y = Y;-1 + j, j [2 : k], where Z, ,..., k are independent Gaussian noise components with powers N, ,..., , respectively. Assume average power constraint P on X. Provide a characterization of the private-message capacity region in terms of the noise pow- ers, P, and power allocation parameters a,..., ak 0 with ; = 1.

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