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Design of Discrete Constellations for Peak-Power-Limited complex Gaussian Channels

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Author(s)
Huleihel, Wasim
•
Goldfeld, Ziv
•
Koch, Tobias
•
Madiman, Mokshay
•
Medard, Muriel
Date Issued
June 2018
Publisher
IEEE
Citation
Huleihel, Wasim, Goldfeld, Ziv, Koch, Tobias, Madiman, Mokshay and Medard, Muriel. 2018. "Design of Discrete Constellations for Peak-Power-Limited complex Gaussian Channels."
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Author's final manuscript
Abstract
© 2018 IEEE. The capacity-achieving input distribution of the complex Gaussian channel with both average- and peak-power constraint is known to have a discrete amplitude and a continuous, uniformly-distributed, phase. Practical considerations, however, render the continuous phase inapplicable. This work studies the backoff from capacity induced by discretizing the phase of the input signal. A sufficient condition on the total number of quantization points that guarantees an arbitrarily small backoff is derived, and constellations that attain this guaranteed performance are proposed.
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DOI of Published Version
10.1109/isit.2018.8437597
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