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In the context of space-time block codes (STBCs), the theory of generalized quaternion and biquaternion algebras (i.e., tensor products of two quaternion algebras) over arbitrary base fields is presented, as well as quadratic form theoretic…

Information Theory · Computer Science 2012-02-07 Thomas Unger , Nadya Markin

In this paper, we introduce the notion of perfect space-time block codes (STBC). These codes have full rate, full diversity, non-vanishing constant minimum determinant for increasing spectral efficiency, uniform average transmitted energy…

Information Theory · Computer Science 2007-07-16 F. Oggier , G. Rekaya-Ben Othman , J. -C. Belfiore , E. Viterbo

Let $K/F$ and $K/L$ be two cyclic Galois field extensions and $D=(K/F,\sigma,c)$ a cyclic algebra. Given an invertible element $d\in D$, we present three families of unital nonassociative algebras over $L\cap F$ defined on the direct sum of…

Information Theory · Computer Science 2021-04-13 Susanne Pumpluen , Andrew Steele

Two new rate-one full-diversity space-time block codes (STBC) are proposed. They are characterized by the \emph{lowest decoding complexity} among the known rate-one STBC, arising due to the complete separability of the transmitted symbols…

Information Theory · Computer Science 2016-11-17 Dung Ngoc Dao , Chau Yuen , Chintha Tellambura , Yong Liang Guan , Tjeng Thiang Tjhung

In this paper, we propose two new systematic ways to construct amicable orthogonal designs (AOD), with an aim to facilitate the construction of power-balanced orthogonal spacetime block codes (O-STBC) with favorable practical attributes. We…

Information Theory · Computer Science 2008-06-23 Chau Yuen , Yong Liang Guan , Tjeng Thiang Tjhung

We focus on full-rate, fast-decodable space-time block codes (STBCs) for 2x2 and 4x2 multiple-input multiple-output (MIMO) transmission. We first derive conditions for reduced-complexity maximum-likelihood decoding, and apply them to a…

Information Theory · Computer Science 2008-03-18 Ezio Biglieri , Yi Hong , Emanuele Viterbo

A Space-Time Block Code (STBC) in $K$ symbols (variables) is called $g$-group decodable STBC if its maximum-likelihood decoding metric can be written as a sum of $g$ terms such that each term is a function of a subset of the $K$ variables…

Information Theory · Computer Science 2007-07-16 Sanjay Karmakar , B. Sundar Rajan

The problem of designing high rate, full diversity noncoherent space-time block codes (STBCs) with low encoding and decoding complexity is addressed. First, the notion of $g$-group encodable and $g$-group decodable linear STBCs is…

Information Theory · Computer Science 2016-11-17 G. Susinder Rajan , B. Sundar Rajan

High-rate space-time block codes (STBC with code rate > 1) in multi-input multi-output (MIMO) systems are able to provide both spatial multiplexing gain and diversity gain, but have high maximum likelihood (ML) decoding complexity. Since…

Information Theory · Computer Science 2016-11-18 Tian Peng Ren , Yong Liang Guan , Chau Yuen , Erry Gunawan , Er Yang Zhang

In this work, a new fast-decodable space-time block code (STBC) is proposed. The code is full-rate and full-diversity for 4x2 multiple-input multiple-output (MIMO) transmission. Due to the unique structure of the codeword, the proposed code…

Information Theory · Computer Science 2014-01-08 Ming Liu , Maryline Hélard , Jean-François Hélard , Matthieu Crussière

Linear space-time block codes (STBCs) of unitary rate and full diversity, systematically constructed over arbitrary constellations for any number of transmit antennas are introduced. The codes are obtained by generalizing the existing ABBA…

Information Theory · Computer Science 2007-07-13 Giuseppe Thadeu Freitas de Abreu

By using joint modulation and customized constellation set, we show that Quasi-Orthogonal Space-Time Block Code (QO-STBC) can be used to form a new differential space-time modulation (DSTM) scheme to provide full transmit diversity with…

Information Theory · Computer Science 2008-06-23 Chau Yuen , Yong Liang Guan , Tjeng Thiang Tjhung

A Quasi-Orthogonal Space-Time Block Code (QO-STBC) is attractive because it achieves higher code rate than Orthogonal STBC and lower decoding complexity than nonorthogonal STBC. In this paper, we first derive the algebraic structure of…

Information Theory · Computer Science 2008-06-23 Chau Yuen , Yong Liang Guan , Tjeng Thiang Tjhung

In this paper, a new method is proposed to obtain full-diversity, rate-2 (rate of 2 complex symbols per channel use) space-time block codes (STBCs) that are full-rate for multiple input, double output (MIDO) systems. Using this method,…

Information Theory · Computer Science 2013-04-25 K. Pavan Srinath , B. Sundar Rajan

The perfect space-time block codes (STBCs) are based on four design criteria - full-rateness, non-vanishing determinant, cubic shaping and uniform average transmitted energy per antenna per time slot. Cubic shaping and transmission at…

Information Theory · Computer Science 2012-12-12 K. Pavan Srinath , B. Sundar Rajan

This paper presents two new space time block codes (STBCs) with quasi orthogonal structure for an open loop multi-input single-output (MISO) systems. These two codes have been designed to transmit from three or four antennas at the…

Information Theory · Computer Science 2016-05-20 Ali Lotfi-Rezaabad , Siamak Talebi , Ata Chizari

Perfect Space-Time Codes (STC) are optimal codes in their original construction for Multiple Input Multiple Output (MIMO) systems. Based on Cyclic Division Algebras (CDA), they are full-rate, full-diversity codes, have Non-Vanishing…

Information Theory · Computer Science 2010-11-03 Mireille Sarkiss , Ghaya Rekaya-Ben Othman , Mohamed Oussama Damen , Jean-Claude Belfiore

This paper generalizes results in noncoherent space-time block code (STBC) design based on quantum error correction (QEC) to new antenna configurations. Previous work proposed QEC-inspired STBCs for antenna geometries where the number of…

Signal Processing · Electrical Eng. & Systems 2026-01-27 S. Andrew Lanham , Eli Bradley , Brian R. La Cour

Full-rate space-time block codes (STBCs) achieve high spectral-efficiency by transmitting linear combinations of information symbols through every transmit antenna. However, the coefficients used for the linear combinations, if not chosen…

Information Theory · Computer Science 2013-03-18 J. Harshan , Emanuele Viterbo

We propose a full-rate iterated space-time code construction, to design 2n-dimensional codes from n-dimensional cyclic algebra based codes. We give a condition to determine whether the resulting codes satisfy the full-diversity property,…

Information Theory · Computer Science 2013-03-12 Nadya Markin , Frederique Oggier
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