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arXiv · 1302.4706

Curves on Flat Tori and Analog Source-Channel Codes

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. We propose a constructive scheme based on a set of curves on the surface of a N-dimensional sphere. Our approach shows that the design of good codes for this communication problem is related to geometrical properties of spherical codes and projections of N-dimensional rectangular lattices. Theoretical comparisons with some previous works in terms of the mean square error as a function of the channel SNR as well as simulations are provided.

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Antonio Campello, Cristiano Torezzan, Sueli I. R. Costa. 2013-06-13. Curves on Flat Tori and Analog Source-Channel Codes. https://doi.org/10.1109/tit.2013.2269135

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