Gray coding for multilevel constellations in Gaussian noise
Artikel i vetenskaplig tidskrift, 2007

The problem of finding the optimal labeling (bit-to-symbol mapping) of multilevel coherent phase shift keying (PSK), pulse amplitude modulation (PAM), and quadrature amplitude modulation (QAM) constellations with respect to minimizing the bit-error probability (BEP) over a Gaussian channel is addressed. We show that using the binary reflected Gray code (BRGC) to label the signal constellation results in the lowest possible BEP for high enough signal energy-to-noise ratios and analyze what is "high enough"in this sense. It turns out that the BRGC is optimal for PSK and PAM systems whenever the target BEP is at most a few percent, which covers most systems of practical interest. New and simple closed-form expressions are presented for the BEP of PSK, PAM, and QAM using the BRGC. © 2007 IEEE.

Författare

Erik Agrell

Chalmers, Signaler och system, Kommunikationssystem, informationsteori och antenner, Kommunikationssystem

Johan Lassing

Qamcom Research & Technology

Erik Ström

Chalmers, Signaler och system, Kommunikationssystem, informationsteori och antenner, Kommunikationssystem

Tony Ottosson Gadd

Chalmers, Signaler och system, Kommunikationssystem, informationsteori och antenner, Kommunikationssystem

IEEE Transactions on Information Theory

0018-9448 (ISSN)

Vol. 53 1 224-235

Ämneskategorier

Data- och informationsvetenskap

DOI

10.1109/TIT.2006.887070

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Senast uppdaterat

2018-09-06