In a ternary amplitude shift keying

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In a ternary amplitude shift keying (ASK) communications system, there are three equally likely transmitted signals {s₀,s₁,s₂}. These signals are distinguished by their amplitudes such that if signal s_i is transmitted, then the receiver output will be

Where a is a positive constant and N is a Gaussian (0, σ_N ) random variable. Based on the output X, the receiver must decode which symbol s_i was transmitted. What are the acceptance sets A_i for the hypotheses H_i that s_i was transmitted?

Reference no: EM131083895

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