Capacity bounds for the discrete superposition model of the Gaussian multiple-access channel

Recently, it has been shown that the capacity of certain Gaussian networks can be approximated by the capacity of the corresponding network in the discrete superposition model (DSM). The gap between the capacities is an additive constant only depending on the number of nodes in the network. Hence, t...

Full description

Saved in:
Bibliographic Details
Published in:2011 IEEE Wireless Communications and Networking Conference pp. 1590 - 1595
Main Authors: Schrammar, N, Skoglund, M
Format: Conference Proceeding
Language:English
Published: IEEE 01.03.2011
Subjects:
Additives
Approximation methods
Channel capacity
Merging
Signal to noise ratio
Transmitters
Upper bound
ISBN:1612842550, 9781612842554
ISSN:1525-3511
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Recently, it has been shown that the capacity of certain Gaussian networks can be approximated by the capacity of the corresponding network in the discrete superposition model (DSM). The gap between the capacities is an additive constant only depending on the number of nodes in the network. Hence, the capacity in the DSM is a good approximation in the high SNR regime. Finding this capacity involves optimizing over a finite set of coding strategies. However, the problem space grows with both the number of nodes and with SNR, rendering the optimization infeasible. In this paper we find upper and lower bounds on the capacity in the DSM. We start with the point-to-point channel, and we extend our strategy to the multiple-access channel. We show that the gap between our bounds is at most an additive constant independent of the channel gains. Hence, combining our results with the results, we find closed form bounds on the Gaussian capacity to within an additive constant.
ISBN:1612842550
9781612842554
ISSN:1525-3511
DOI:10.1109/WCNC.2011.5779401