Some simple observations on MISO codes

Roope Vehkalahti*, Camilla Hollanti, Jyrki Lahtonen, Francis Lu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

This paper considers certain aspects of some well-known multiple-input single-output (MISO) codes. In the first section it is proved how in some special cases the n + 1 MISO channel can be seen as consisting of several parallel MISO channels having less transmit antennas. It is also pointed out that unitary conjugation does not change the diversity-multiplexing tradeoff (DMT) of a code. These simple results are then applied to analyze the DMT of several well-known MISO codes. In particular its is proved that all the considered codes are DMT optimal. As a by-product of this study it is seen that the full-diversity quasi-orthogonal codes by Su and Xia are unitarily equivalent to division algebraic constructions. This relation is then used to place the constructions by Su and Xia into a wider context. In the latter part of the paper the 2 + 1 slow fading MISO channel is considered and it is proven that one of the previously proposed MISO multi-block codes (MB-codes) has a linear worst-case sphere decoding complexity.

Original languageEnglish
Title of host publicationISITA/ISSSTA 2010 - 2010 International Symposium on Information Theory and Its Applications
Pages537-541
Number of pages5
DOIs
StatePublished - 1 Dec 2010
Event2010 20th International Symposium on Information Theory and Its Applications, ISITA 2010 and the 2010 20th International Symposium on Spread Spectrum Techniques and Applications, ISSSTA 2010 - Taichung, Taiwan
Duration: 17 Oct 201020 Oct 2010

Publication series

NameISITA/ISSSTA 2010 - 2010 International Symposium on Information Theory and Its Applications

Conference

Conference2010 20th International Symposium on Information Theory and Its Applications, ISITA 2010 and the 2010 20th International Symposium on Spread Spectrum Techniques and Applications, ISSSTA 2010
CountryTaiwan
CityTaichung
Period17/10/1020/10/10

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