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Approaching capacity by equiprobable signaling on the Gaussian channel

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2 Author(s)
Feng-Wen Sun ; Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands ; H. C. A. van Tilborg

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

Published in:

IEEE Transactions on Information Theory  (Volume:39 ,  Issue: 5 )