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Gray coding for mul...
Gray coding for multilevel constellations in Gaussian noise
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- Agrell, Erik, 1965 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Lassing, Johan, 1973 (author)
- Qamcom Research And Technology AB
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- Ström, Erik, 1965 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Ottosson Gadd, Tony, 1969 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2007
- 2007
- English.
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In: IEEE Transactions on Information Theory. - 0018-9448 .- 1557-9654. ; 53:1, s. 224-235
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Publication and Content Type
- art (subject category)
- ref (subject category)
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