Curves on torus layers and coding for continuous alphabet sources
  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. 
Antonio Campello, Cristiano Torezzan and Sueli I. R. Costa
cs.IT math.DG math.IT