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Computation of the Exact Bit-Error Rate of Coherent M-ary PSK With Gray Code Bit Mapping

Johan Lassing (Institutionen för signaler och system, Kommunikationssystem) ; Erik G. Ström (Institutionen för signaler och system, Kommunikationssystem) ; Erik Agrell (Institutionen för signaler och system, Kommunikationssystem) ; Tony Ottosson (Institutionen för signaler och system, Kommunikationssystem)
IEEE Transactions on Communications (0090-6778). Vol. 51 (2003), 11, p. 1758-1760.
[Artikel, refereegranskad vetenskaplig]

The problem of calculating the average bit-error probability (BEP) of coherent M-ary phase-shift keying (PSK) over a Gaussian channel has been studied previously in the literature. A solution to the problem for systems using a binary reflected Gray code (BRGC) to map bits to symbols was first presented by Lee. In this letter, we show that the results obtained by Lee are incorrect for M greater than or equal to 16. We show that the reason for this is an invalid assumption that the bit-error rate (BER) is independent of the transmitted symbols, an assumption which has also propagated to textbooks. We give a new expression for the BER of M-PSK systems using the BRGC and compare this with Lee's results.

Nyckelord: linear-mod, error-control

Denna post skapades 2006-09-12. Senast ändrad 2016-04-28.
CPL Pubid: 15107


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Institutionen för signaler och system, Kommunikationssystem


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