(Solution) - In the CDMA multiuser communications system introduced in Problem 11 3 8 -(2025 Original AI-Free Solution)

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In the CDMA multiuser communications system introduced in Problem 11.3.8, each user I transmits an independent data bit Xi such that the vector X = [X1 ? ? ? Xn] ? has iid components with PXi(1) = PXi (-1) = 1/2. The received signal is

Where N is a Gaussian (0,?2I) noise.