Consider a binary transmission system in awgn noise with, Other Engineering

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Consider a binary transmission system in awgn noise with

Question: Consider a binary transmission system in AWGN noise with PSD N₀ 2 . Let the two employed waveforms not be equally likely, that is p₁ = p and p₂ = 1 - p. By assuming that the system has dimension I = 1 and waveform constellation s₁ and s₂, evaluate the optimum decision regions and the corresponding error probability.

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