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Approaching capacity by equiprobable signaling on the Gaussian channel

For the additive white Gaussian noise channel, there is a gap between the channel capacity and the highest achievable rate of equiprobable uniformly spaced one-dimensional signaling. It is commonly believed that approaching channel capacity requires the constituent one-dimensional signal points to h...

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Bibliographic Details
Published in:IEEE transactions on information theory 1993-09, Vol.39 (5), p.1714-1716
Main Authors: Feng-Wen Sun, van Tilborg, H.C.A.
Format: Article
Language:English
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Summary:For the additive white Gaussian noise channel, there is a gap between the channel capacity and the highest achievable rate of equiprobable uniformly spaced one-dimensional signaling. It is commonly believed that approaching channel capacity requires the constituent one-dimensional signal points to have a Gaussian probability distribution. It is shown that the channel capacity can be achieved by equiprobable signaling with geometrical, Gaussian-like signal sets. Construction of these signal constellations is explicitly given. This result implicates that it is possible to approach channel capacity without using any kind of shaping codes.< >
ISSN:0018-9448
1557-9654
DOI:10.1109/18.259663