A4 Refereed article in a conference publication
Shifted inverse determinant sums and new bounds for the DMT of space-time lattice codes
Authors: Roope Vehkalahti, Laura Luzzi, Jean-Claude Belfiore
Conference name: IEEE International Symposium on Information Theory
Publisher: Institute of Electrical and Electronics Engineers Inc.
Publication year: 2014
Book title : Information Theory (ISIT), 2014 IEEE International Symposium on
Journal name in source: IEEE International Symposium on Information Theory - Proceedings
First page : 2331
Last page: 2335
Number of pages: 5
ISBN: 978-1-4799-5186-4
DOI: https://doi.org/10.1109/ISIT.2014.6875250(external)
Web address : http://api.elsevier.com/content/abstract/scopus_id:84906536016(external)
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.