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Optimized M-ary Orthogonal and Bi-Orthogonal Signaling using Coherent Receiver with Non-Equal Symbol Probabilities

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1 Author(s)
Lei Wei ; Sch. of Electr. Eng. & Comput. Sci., Univ. of Central Florida, Orlando, FL, USA

In this letter we derive formulas to compute the optimized signal energy, bit error probabilities, and decision thresholds for M-ary orthogonal and bi-orthogonal signaling using a coherent receiver with non-equal symbol probabilities. We find that for non-equiprobable sources, the optimized systems (in which signal energies are optimized for non-equal probable symbols) have much lower error probabilities than the conventional systems (which use the constellation optimized for equal probable symbols).

Published in:

Communications Letters, IEEE  (Volume:16 ,  Issue: 6 )