Curves on torus layers and coding for continuous alphabet sources

Antonio Campello; Cristiano Torezzan; Sueli I. R. Costa

doi:10.1109/isit.2012.6283738

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arXiv · 1202.2111

Curves on torus layers and coding for continuous alphabet sources

Antonio Campello·Cristiano Torezzan·Sueli I. R. Costa

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Abstract

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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Antonio Campello, Cristiano Torezzan, Sueli I. R. Costa. 2012-02-09. Curves on torus layers and coding for continuous alphabet sources. https://doi.org/10.1109/isit.2012.6283738

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