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Related papers: Algebraic Distributed Space-Time Codes with Low ML…

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Recently, a special class of complex designs called Training-Embedded Complex Orthogonal Designs (TE-CODs) has been introduced to construct single-symbol Maximum Likelihood (ML) decodable (SSD) distributed space-time block codes (DSTBCs)…

Information Theory · Computer Science 2009-09-15 J. Harshan , B. Sundar Rajan , Are Hjørungnes

An alternative, pedagogically simpler derivation of the allowed physical wave fronts of a propagating electromagnetic signal is presented using geometric algebra. Maxwell's equations can be expressed in a single multivector equation using…

High Energy Physics - Theory · Physics 2007-05-23 William M. Pezzaglia

Full-rate space time codes (STC) with rate = number of transmit antennas have high multiplexing gain, but high decoding complexity even when decoded using reduced-complexity decoders such as sphere or QRDM decoders. In this paper, we…

Information Theory · Computer Science 2015-05-30 Tian Peng Ren , Yong Liang Guan , Chau Yuen , Er Yang Zhang

Lattice coding techniques may be used to derive achievable rate regions which outperform known independent, identically distributed (i.i.d.) random codes in multi-source relay networks and in particular the two-way relay channel. Gains stem…

Information Theory · Computer Science 2016-11-17 Yiwei Song , Natasha Devroye , Huai-Rong Shao , Chiu Ngo

Maximum-likelihood (ML) decoding for arbitrary block codes remains fundamentally hard, with worst-case time complexity-measured by the total number of multiplications-being no better than straightforward exhaustive search, which requires…

Information Theory · Computer Science 2026-01-21 Hoang Ly , Emina Soljanin , Michael Schleppy

Distributed space-time block coding is a diversity technique to mitigate the effects of fading in multi-hop wireless networks, where multiple relay stages are used by a source to communicate with its destination. This paper proposes a new…

Information Theory · Computer Science 2008-05-06 Rahul Vaze , Robert W. Heath

A large class of MDS linear codes is constructed. These codes are endowed with an efficient decoding algorithm. Both the definition of the codes and the design of their decoding algorithm only require from Linear Algebra methods, making…

Information Theory · Computer Science 2020-06-02 José Gómez-Torrecillas , Gabriel Navarro , José Patricio Sánchez-Hernández

This is the second part of a two-part series of papers. In this paper, for the generalized non-orthogonal amplify and forward (GNAF) protocol presented in Part-I, a construction of a new family of distributed space-time codes based on…

Information Theory · Computer Science 2007-07-16 G. Susinder Rajan , B. Sundar Rajan

Distributed Orthogonal Space-Time Block Codes (DOSTBCs) achieving full diversity order and single-symbol ML decodability have been introduced recently by Yi and Kim for cooperative networks and an upperbound on the maximal rate of such…

Information Theory · Computer Science 2007-09-04 Harshan J. , B. Sundar Rajan

The work identifies the first general, explicit, and non-random MIMO encoder-decoder structures that guarantee optimality with respect to the diversity-multiplexing tradeoff (DMT), without employing a computationally expensive…

Information Theory · Computer Science 2016-11-18 Joakim Jalden , Petros Elia

In this paper we introduce a new right preprocessing method for the decoding of 2x2 algebraic STBCs, called algebraic reduction, which exploits the multiplicative structure of the code. The principle of the new reduction is to absorb part…

Information Theory · Computer Science 2008-09-30 Laura Luzzi , Ghaya Rekaya-Ben Othman , Jean-Claude Belfiore

Currently for the nt x nr MIMO channel, any explicitly constructed space-time (ST) designs that achieve optimality with respect to the diversity multiplexing tradeoff (DMT) are known to do so only when decoded using maximum likelihood (ML)…

Information Theory · Computer Science 2009-01-28 Joakim Jalden , Petros Elia

We can design efficient quantum error-correcting (QEC) codes by tailoring them to our choice of quantum architecture. Useful tools for constructing such codes include Clifford deformations and appropriate gauge fixings of compass codes. In…

Quantum Physics · Physics 2026-04-22 Julie A. Campos , Kenneth R. Brown

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

Information Theory · Computer Science 2021-10-06 Mahdi Soleymani , Mohammad Vahid Jamali , Hessam Mahdavifar

In this paper, we deal with the design of high-rate, full-diversity, low maximum likelihood (ML) decoding complexity space-time block codes (STBCs) with code rates of 2 and 1.5 complex symbols per channel use for multiple-input multiple…

Information Theory · Computer Science 2009-07-07 Ertugrul Basar , Umit Aygolu

Low-density parity-check (LDPC) codes together with belief propagation (BP) decoding yield exceptional error correction capabilities in the large block length regime. Yet, there remains a gap between BP decoding and maximum likelihood…

Information Theory · Computer Science 2025-01-22 Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen

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 present constructions of Space-Time (ST) codes based on lattice coset coding. First, we focus on ST code constructions for the short block-length case, i.e., when the block-length is equal to or slightly larger than the number of…

Information Theory · Computer Science 2008-04-14 K. Raj Kumar , Giuseppe Caire

In this paper, a joint power allocation algorithm with minimum mean-squared error (MMSE) receiver for a cooperative Multiple-Input and Multiple-Output (MIMO) network which employs multiple relays and a Decode-and-Forward (DF) strategy is…

Information Theory · Computer Science 2013-03-22 T. Peng , R. C. de Lamare , A. Schmeink

Expectation Propagation is a generalization to Belief Propagation (BP) in two ways. First, it can be used with any exponential family distribution over the cliques in the graph. Second, it can impose additional constraints on the marginal…

Information Theory · Computer Science 2010-09-23 Pablo M. Olmos , Juan José Murillo-Fuentes