A4 Refereed article in a conference publication

Shifted inverse determinant sums and new bounds for the DMT of space-time lattice codes




AuthorsRoope Vehkalahti, Laura Luzzi, Jean-Claude Belfiore

Conference nameIEEE International Symposium on Information Theory

PublisherInstitute of Electrical and Electronics Engineers Inc.

Publication year2014

Book title Information Theory (ISIT), 2014 IEEE International Symposium on

Journal name in sourceIEEE International Symposium on Information Theory - Proceedings

First page 2331

Last page2335

Number of pages5

ISBN978-1-4799-5186-4

DOIhttps://doi.org/10.1109/ISIT.2014.6875250(external)

Web address http://api.elsevier.com/content/abstract/scopus_id:84906536016(external)


Abstract

This paper considers shifted inverse determinant sums arising from the union bound of the pairwise error probability for space-time codes in multiple-antenna fading channels. Previous work by Vehkalahti et al. focused on the approximation of these sums for low multiplexing gains, providing a complete classification of the inverse determinant sums as a function of constellation size for the most well-known algebraic space-time codes. This work aims at building a general framework for the study of the shifted sums for all multiplexing gains. New bounds obtained using dyadic summing techniques suggest that the behavior of the shifted sums does characterize many properties of a lattice code such as the diversity-multiplexing gain trade-off, both under maximum-likelihood decoding and infinite lattice naive decoding. Moreover, these bounds allow to characterize the signal-to-noise ratio thresholds corresponding to different diversity gains. © 2014 IEEE.




Last updated on 2024-26-11 at 12:49