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Formulas are derived to compute the optimal signal constellation, bit error probabilities, and decision thresholds for M-ASK and QAM with non-equal prior symbol probabilities on Rayleigh fading channels. It is shown that the optimal system can improve average Eb/N0 by 5 dB compared to a conventional system, i.e. a system with source coding, equiprobable symbols, and equal space constellation.
In this study the authors derive a formula to compute the optimal signal constellation, bit error probabilities and decision thresholds for M-ASK (amplitude shift keying) with non-equal symbol probabilities. The resulting signal constellation is not equally spaced. The authors demonstrate the importance of assigning lower energy signals to symbols with higher probabilities. The authors show that the...
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