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A new class of space time codes with high performance is presented. The code design utilizes tailor-made permutation codes, which are known to have large minimal distances as spherical codes. A geometric connection between spherical and…

Information Theory · Computer Science 2007-07-13 Oliver Henkel

The design of block codes for short information blocks (e.g., a thousand or less information bits) is an open research problem which is gaining relevance thanks to emerging applications in wireless communication networks. In this work, we…

Information Theory · Computer Science 2016-10-05 Gianluigi Liva , Lorenzo Gaudio , Tudor Ninacs , Thomas Jerkovits

In this work, we develop a space-time block code for noncoherent communication using techniques from the field of quantum error correction. We decompose the multiple-input multiple-output (MIMO) channel into operators from quantum…

Signal Processing · Electrical Eng. & Systems 2019-01-31 S. Andrew Lanham , Travis C. Cuvelier , Corey Ostrove , Brian La Cour , Granville Ott , Robert Heath

In this paper we propose constellations with suitable structure which allow one to construct codes with excellent diversity using geometrical symmetry and numerical methods. We also demonstrate how these structured constellations…

Optimization and Control · Mathematics 2007-05-23 Guangyue Han , Joachim Rosenthal

Space-time codes leverage the availability of multiple antennas to enhance the reliability of communication over wireless channels. While space-time codes have initially been designed with a focus on open-loop systems, recent technological…

Information Theory · Computer Science 2016-11-17 Che Lin , Vasanthan Raghavan , Venu Veeravalli

Spatially coupled serially concatenated codes (SC-SCCs) are a class of spatially coupled turbo-like codes, which have a close-to-capacity performance and low error floor. In this paper we investigate the impact of coupling memory, block…

Information Theory · Computer Science 2021-07-27 Mojtaba Mahdavi , Muhammad Umar Farooq , Liang Liu , Ove Edfors , Viktor Öwall , Michael Lentmaier

The computational complexity of the Maximum Likelihood decoding algorithm in [1], [2] for orthogonal space-time block codes is smaller than specified.

Information Theory · Computer Science 2009-08-08 Ender Ayanoglu

The computational complexity of optimum decoding for an orthogonal space-time block code G satisfying the orthogonality property that the Hermitian transpose of G multiplied by G is equal to a constant c times the sum of the squared symbols…

Information Theory · Computer Science 2009-10-13 Ender Ayanoglu , Erik G. Larsson , Eleftherios Karipidis

In a distributed space-time coding scheme, based on the relay channel model, the relay nodes co-operate to linearly process the transmitted signal from the source and forward them to the destination such that the signal at the destination…

Information Theory · Computer Science 2008-06-20 J. Harshan , B. Sundar Rajan

A construction is presented that allows to produce subspace codes of long length using subspace codes of shorter length in combination with a rank metric code. The subspace distance of the resulting code, called linkage code, is as good as…

Information Theory · Computer Science 2015-05-12 Heide Gluesing-Luerssen , Carolyn Troha

For point to point multiple input multiple output systems, Dayal-Brehler-Varanasi have proved that training codes achieve the same diversity order as that of the underlying coherent space time block code (STBC) if a simple minimum mean…

Information Theory · Computer Science 2008-09-03 G. Susinder Rajan , B. Sundar Rajan

Coherence has been used as a resource for optical communications since its earliest days. It is widely used for multiplexing of data, but not for encoding of data. Here we introduce a coding scheme, which we call \textit{mutual coherence…

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

A new design method for high rate, fully diverse ('spherical') space frequency codes for MIMO-OFDM systems is proposed, which works for arbitrary numbers of antennas and subcarriers. The construction exploits a differential geometric…

Information Theory · Computer Science 2016-11-17 Oliver Henkel

We show that conformal blocks simplify greatly when there is a large difference between two of the scaling dimensions for external operators. In particular the spacetime dimension only appears in an overall constant which we determine via…

High Energy Physics - Theory · Physics 2014-09-09 Connor Behan

The performance of an error correcting code is evaluated by its error probability, rate, and en/decoding complexity. The performance of a series of codes is evaluated by, as the block lengths approach infinity, whether their error…

Information Theory · Computer Science 2021-07-15 Hsin-Po Wang

Algebraic space-time coding allows for reliable data exchange across fading multiple-input multiple-output channels. A powerful technique for decoding space-time codes in Maximum-Likelihood (ML) decoding, but well-performing and widely-used…

Information Theory · Computer Science 2015-01-28 Amaro Barreal , Camilla Hollanti , David Karpuk

Orthogonal designs are fundamental mathematical notions used in the construction of space time block codes for wireless transmissions. Designs have two important parameters, the rate and the decoding delay; the main problem of the theory is…

Information Theory · Computer Science 2012-03-05 Sophie Morier-Genoud , Valentin Ovsienko

This paper explores the design of convolutional codes for varying constraint lengths, focusing on their role in error correction in digital communication systems. Convolutional codes are essential in achieving reliable data transmission…

Information Theory · Computer Science 2024-10-03 Parag Dhounde , Avinash Bhute

Low decoding latency and complexity are two important requirements of channel codes used in many applications, like machine-to-machine communications. In this paper, we show how these requirements can be fulfilled by using some special…

Information Theory · Computer Science 2018-09-14 Massimo Battaglioni , Alireza Tasdighi , Marco Baldi , Mohammad H. Tadayon , Franco Chiaraluce
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