標題: Inverse Determinant Sums and Connections Between Fading Channel Information Theory and Algebra
作者: Vehkalahti, Roope
Lu, Hsiao-Feng (Francis)
Luzzi, Laura
電機工程學系
Department of Electrical and Computer Engineering
關鍵字: Algebra;diversity-multiplexing gain tradeoff (DMT);division algebra;Lie groups;multiple-input multiple-output (MIMO);number theory;space-time block codes (STBCs);unit group;Zeta functions
公開日期: 1-九月-2013
摘要: This work considers inverse determinant sums, which arise from the union bound on the error probability, as a tool for designing and analyzing algebraic space-time block codes. A general framework to study these sums is established, and the connection between asymptotic growth of inverse determinant sums and the diversity-multiplexing gain tradeoff is investigated. It is proven that the growth of the inverse determinant sum of a division algebra-based space-time code is completely determined by the growth of the unit group. This reduces the inverse determinant sum analysis to studying certain asymptotic integrals in Lie groups. Using recent methods from ergodic theory, a complete classification of the inverse determinant sums of the most well-known algebraic space-time codes is provided. The approach reveals an interesting and tight relation between diversity-multiplexing gain tradeoff and point counting in Lie groups.
URI: http://dx.doi.org/10.1109/TIT.2013.2266396
http://hdl.handle.net/11536/22532
ISSN: 0018-9448
DOI: 10.1109/TIT.2013.2266396
期刊: IEEE TRANSACTIONS ON INFORMATION THEORY
Volume: 59
Issue: 9
起始頁: 6060
結束頁: 6082
顯示於類別:期刊論文


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  1. 000323455800058.pdf