학술논문

Curves on Flat Tori and Analog Source-Channel Codes
Document Type
Periodical
Source
IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 59(10):6646-6654 Oct, 2013
Subject
Communication, Networking and Broadcast Technologies
Signal Processing and Analysis
Lattices
Vectors
Encoding
Decoding
Bandwidth
Signal to noise ratio
Analog modulation
curves
flat tori
lattices
Language
ISSN
0018-9448
1557-9654
Abstract
In this paper, we consider the problem of transmitting a continuous alphabet discrete-time source over an additive white Gaussian noise channel in the bandwidth expansion case. We propose a constructive scheme based on a set of curves on the surface of a $2N$-dimensional sphere. Our approach shows that the design of good codes for this communication problem relies on geometrical properties of spherical codes and projections of $N$ -dimensional rectangular lattices. Theoretical comparisons with some previous works in terms of the mean squared error as a function of the channel SNR, as well as simulations, are provided.