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The binary reflected Gray code is optimal for M-PSK

Erik Agrell (Institutionen för signaler och system, Kommunikationssystem) ; Johan Lassing (Institutionen för signaler och system, Kommunikationssystem) ; Erik G. Ström (Institutionen för signaler och system, Kommunikationssystem) ; Tony Ottosson (Institutionen för signaler och system, Kommunikationssystem)
Proc. IEEE International Symposium on Information Theory, Chicago, Illinois, USA p. 164. (2004)
[Konferensbidrag, refereegranskat]

This paper is concerned with the problem of selecting a binary labeling for the signal constellation in an M-PSK communication system. A good starting point is labelings having the Gray property, but this is not altogether enough, since the number of distinct Gray labelings that result in different bit error probability grows rapidly with increasing constellation size. By introducing a recursive Gray labeling construction method called expansion, the paper answers the natural question of what labeling, among all possible constellation labelings (not only Gray), that will give the lowest possible average probability of bit errors. Under certain assumptions on the channel, the answer is that the labeling originally proposed by Gray, the binary reflected Gray code, is the optimal labeling for M-PSK systems, which has, surprisingly, never been proved before.

Nyckelord: error-control, linear-mod

Denna post skapades 2006-09-12. Senast ändrad 2016-04-28.
CPL Pubid: 15208


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Institutioner (Chalmers)

Institutionen för signaler och system, Kommunikationssystem


Information Technology

Chalmers infrastruktur