Gray coding for multilevel constellations in Gaussian noise

Agrell, Erik,1965Chalmers tekniska högskola,Chalmers University of Technology (författare)

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.

Lassing, Johan,1973Qamcom Research And Technology AB(Swepub:cth)lassing (författare)
Ström, Erik,1965Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)estrom (författare)
Ottosson Gadd, Tony,1969Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)tonyo (författare)
Chalmers tekniska högskolaQamcom Research And Technology AB (creator_code:org_t)

Ingår i:IEEE Transactions on Information Theory53:1, s. 224-2350018-94481557-9654

Av författaren/redakt...: Agrell, Erik, 19 ...; Lassing, Johan, ...; Ström, Erik, 196 ...; Ottosson Gadd, T ...

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