ALGORITHM FOR OPTIMAL SYMBOL-BY-SYMBOL RECEPTION OF FREQUENCY-EFFICIENT SIGNALS WITH CORRECTION CODES IN NON-BINARY GALOIS FIELDS

The description of the developed algorithm for optimal symbol-by-symbol reception signal structures based on frequency-efficient signals with two-dimensional «constellations» intensively used in applications and block correction codes non-binary Galois fields is given. It shown that minimizes error probability code symbol or information bit contrast to well-known maximum likelihood rule which error-probability word. proved basis this decoding spectral transform Walsh-Hadamard resulting complexity determined by dimension dual makes it promising a high rate (with low redundancy). study error-performance characteristics (probability erroneous bit) considered was carried out simulating multilevel phase shift keying (PSK-16 signals) quadrature amplitude manipulation (QAM-16 simple correcting general parity check field size 16. use provides an energy gain from 0.00001 1.25…1.5 relation without coding. As decreases gains increase.