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Space-Time Lattice Codes From Algebraic Number Fields

Jarkko Hiltunen, Jyrki Lahtonen, Space-Time Lattice Codes From Algebraic Number Fields. TUCS Technical Reports 489, Turku Centre for Computer Science, 2002.

Abstract:

The basic principle of diversity in the wireless communication is to provide multiple copies of information for a receiver, which can select or combine the received informations to obtain the best quality for reception. Diversity is commonly introduced in either the space, time, or frequency domain.

Space-time coding is a method in which the diversity is introduced in both the time and space domains by utilizing multiple transmit antennas. The data transmitted from multiple antennas is also spread in time supplying the receiver with a sum of the transmitted signals passed over independent fading channels.

In this report we consider the design of space-time block codes for $4$ transmit antennas which are based on the algebraic methods. Especially we study the design methods in which lattices and algebraic number theory have a remarkable role.

This report based on the report on the subproject "Algebraic constructions of ST codes" within the project "Telecommunications applications of discrete mathematics" funded by TEKES and Nokia Research Center.

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BibTeX entry:

@TECHREPORT{tHiLa02a,
  title = {Space-Time Lattice Codes From Algebraic Number Fields},
  author = {Hiltunen, Jarkko and Lahtonen, Jyrki},
  number = {489},
  series = {TUCS Technical Reports},
  publisher = {Turku Centre for Computer Science},
  year = {2002},
  ISBN = {952-12-1084-2},
}

Belongs to TUCS Research Unit(s): FUNDIM, Fundamentals of Computing and Discrete Mathematics

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