Curves on torus layers and coding for continuous alphabet sources

Details Curves on torus layers and coding for continuous alphabet sources Curves on torus layers and coding for continuous alphabet sources

2012-02-09

arxiv.org/abs/1202.2111v2

Computer Science

Information Theory

5 pages, 4 figures. Accepted for presentation at 2012 IEEE International Symposium on Information Theory (ISIT)

Scientific paper

In this paper we consider the problem of transmitting a continuous alphabet discrete-time source over an AWGN channel. The design of good curves for this purpose relies on geometrical properties of spherical codes and projections of $N$-dimensional lattices. We propose a constructive scheme based on a set of curves on the surface of a 2N-dimensional sphere and present comparisons with some previous works.

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