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Distributed Orthogonal Space-Time Block Codes (DOSTBCs) achieving full diversity order and single-symbol ML decodability have been introduced recently for cooperative networks and an upper-bound on the maximal rate of such codes along with…

Information Theory · Computer Science 2007-08-31 J. Harshan , B. Sundar Rajan

Full-rate STBC (space-time block codes) with non-vanishing determinants achieve the optimal diversity-multiplexing tradeoff but incur high decoding complexity. To permit fast decoding, Sezginer, Sari and Biglieri proposed an STBC structure…

Information Theory · Computer Science 2016-11-17 Tian Peng Ren , Yong Liang Guan , Chau Yuen , Yue Zhou , Er Yang Zhang

It has been shown recently that the maximum rate of a 2-real-symbol (single-complex-symbol) maximum likelihood (ML) decodable, square space-time block codes (STBCs) with unitary weight matrices is $\frac{2a}{2^a}$ complex symbols per…

Information Theory · Computer Science 2011-05-10 Teja Damodaram Bavirisetti , B. Sundar Rajan

In this paper, we propose a systematic design of space-time block codes (STBC) which can achieve high rate and full diversity when the partial interference cancellation (PIC) group decoding is used at receivers. The proposed codes can be…

Information Theory · Computer Science 2010-04-19 Long Shi , Wei Zhang , Xiang-Gen Xia

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

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

Families of "asymptotically regular" LDPC block code ensembles can be formed by terminating (J,K)-regular protograph-based LDPC convolutional codes. By varying the termination length, we obtain a large selection of LDPC block code ensembles…

Information Theory · Computer Science 2015-03-17 Michael Lentmaier , David G. M. Mitchell , Gerhard P. Fettweis , Daniel J. Costello,

Space-time coding techniques have become common-place in wireless communication standards as they provide an effective way to mitigate the fading phenomena inherent in wireless channels. However, the use of Space-Time Block Codes (STBCs)…

Information Theory · Computer Science 2016-11-17 Amr Ismail , Jocelyn Fiorina , Hikmet Sari

Space-Time block codes (STBC) from Orthogonal Designs (OD) and Co-ordinate Interleaved Orthogonal Designs (CIOD) have been attracting wider attention due to their amenability for fast (single-symbol) ML decoding, and full-rate with…

Information Theory · Computer Science 2007-07-13 Md. Zafar ALi Khan , B. Sundar Rajan

It is well known that the Space-time Block Codes (STBCs) from Complex orthogonal designs (CODs) are single-symbol decodable/symbol-by-symbol decodable (SSD). The weight matrices of the square CODs are all unitary and obtainable from the…

Information Theory · Computer Science 2016-11-17 Sanjay Karmakar , K. Pavan Srinath , B. Sundar Rajan

Since the classical work of Berlekamp, McEliece and van Tilborg, it is well known that the problem of exact maximum-likelihood (ML) decoding of general linear codes is NP-hard. In this paper, we show that exact ML decoding of a classs of…

Information Theory · Computer Science 2016-11-17 Weiyu Xu , Babak Hassibi

For any $n_t$ transmit, $n_r$ receive antenna ($n_t\times n_r$) MIMO system in a quasi-static Rayleigh fading environment, it was shown by Elia et al. that linear space-time block code-schemes (LSTBC-schemes) which have the non-vanishing…

Information Theory · Computer Science 2013-04-30 K. Pavan Srinath , B. Sundar Rajan

In this paper, we design space-time block codes (STBCs) to broadcast the common information omnidirectionally in a massive MIMO downlink. To reduce the burden of the downlink channel estimation and achieve partial spatial diversity from…

Information Theory · Computer Science 2016-10-26 Xin Meng , Xiang-Gen Xia , Xiqi Gao

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

We introduce the class of partition-balanced families of codes, and show how to exploit their combinatorial invariants to obtain upper and lower bounds on the number of codes that have a prescribed property. In particular, we derive precise…

Information Theory · Computer Science 2018-12-13 Eimear Byrne , Alberto Ravagnani

In the landmark paper by Hassibi and Hochwald, it is claimed without proof that the upper triangular matrix R encountered during the sphere decoding of any linear dispersion code is full-ranked whenever the rate of the code is less than the…

Information Theory · Computer Science 2011-09-06 Lakshmi Prasad Natarajan , K. Pavan Srinath , B. Sundar Rajan

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

The study of subblock-constrained codes has recently gained attention due to their application in diverse fields. We present bounds on the size and asymptotic rate for two classes of subblock-constrained codes. The first class is binary…

Information Theory · Computer Science 2017-01-19 Anshoo Tandon , Han Mao Kiah , Mehul Motani

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

Disjunct matrices, also known as cover-free families and superimposed codes, are combinatorial arrays widely used in group testing. Among their variants, those that satisfy an additional combinatorial property called inclusiveness form a…

Information Theory · Computer Science 2026-01-15 Yuto Mizunuma , Yuichiro Fujiwara