Gray coding for multilevel constellations in Gaussian noise
Journal article, 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.

Author

Erik Agrell

Chalmers, Signals and Systems, Kommunikationssystem, informationsteori och antenner, Communication Systems

Johan Lassing

Qamcom Research & Technology

Erik Ström

Chalmers, Signals and Systems, Kommunikationssystem, informationsteori och antenner, Communication Systems

Tony Ottosson Gadd

Chalmers, Signals and Systems, Kommunikationssystem, informationsteori och antenner, Communication Systems

IEEE Transactions on Information Theory

0018-9448 (ISSN)

Vol. 53 1 224-235

Subject Categories

Computer and Information Science

DOI

10.1109/TIT.2006.887070

More information

Latest update

9/6/2018 1