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Related papers: Rotated and Scaled Alamouti Coding

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Fault-tolerant quantum computation relies on scaling up quantum error correcting codes in order to suppress the error rate on the encoded quantum states. Topological codes, such as the surface code or color codes are leading candidates for…

Quantum Physics · Physics 2022-10-12 Pedro Parrado-Rodríguez , Manuel Rispler , Markus Müller

Distributed Space-Time Block Codes (DSTBCs) from Complex Orthogonal Designs (CODs) (both square and non-square CODs other than the Alamouti design) are known to lose their single-symbol ML decodable (SSD) property when used in two-hop…

Information Theory · Computer Science 2009-08-04 J. Harshan , B. Sundar Rajan , Are Hjørungnes

This paper presents a low-ML-decoding-complexity, full-rate, full-diversity space-time block code (STBC) for a 2 transmit antenna, 2 receive antenna multiple-input multiple-output (MIMO) system, with coding gain equal to that of the best…

Information Theory · Computer Science 2016-11-15 K. Pavan Srinath , B. Sundar Rajan

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

We study the problem of constructing coded modulation schemes over multidimensional signal sets in Nakagami-$m$ block-fading channels. In particular, we consider the optimal diversity reliability exponent of the error probability when the…

Information Theory · Computer Science 2007-11-26 Albert Guillen i Fabregas , Giuseppe Caire

The optimization of joint source and channel coding for a sequence of numerous progressive packets is a challenging problem. Further, the problem becomes more complicated if the space-time coding is also involved with the optimization in a…

Information Theory · Computer Science 2017-09-18 Meesue Shin , Laura Toni , Sang-Hyo Kim , Seok-Ho Chang

An iterated refinement procedure for the Guruswami-Sudan list decoding algorithm for Generalised Reed-Solomon codes based on Alekhnovich's module minimisation is proposed. The method is parametrisable and allows variants of the usual list…

Information Theory · Computer Science 2014-04-14 Johan Sebastian Rosenkilde Nielsen , Alexander Zeh

We propose an easy-to-implement hard-decision majority-logic decoding algorithm for Reed-Muller codes RM(r,m) with m >= 3, m/2 >= r >= 1. The presented algorithm outperforms the best known majority-logic decoding algorithms and offers…

Information Theory · Computer Science 2018-07-03 Juliane Bertram , Peter Hauck , Michael Huber

The Plotkin construction combines two codes to a code of doubled length. It can be applied recursively. The class of Reed-Muller (RM) codes is a particular example. Also, a special class of generalized concatenated codes (GCC) can be…

Information Theory · Computer Science 2024-08-26 Martin Bossert

In the near future, the $5^{th}$ generation (5G) wireless systems will be established. They will consist of an integration of different techniques, including distributed antenna systems and massive multiple-input multiple-output systems,…

Information Theory · Computer Science 2017-10-17 Amaro Barreal , Camilla Hollanti

Error-correcting codes are usually envisioned to counter errors by operating unitary corrections depending on the projective measurement results of some syndrome observables. We here propose a way to use them in a more integrated way, where…

Quantum Physics · Physics 2020-10-07 Vincent Martin , Alain Sarlette

The second-order coding rate of the multiple-input multiple-output (MIMO) quasi-static Rayleigh fading channel is studied. We tackle this problem via an information-spectrum approach and statistical bounds based on recent random matrix…

Information Theory · Computer Science 2016-11-17 Jakob Hoydis , Romain Couillet , Pablo Piantanida

We proposed and experimentally demonstrated a new hybrid code structure based on the overlapping of two light sources to produce the effect of multi-voltage amplitudes. And we also proposed an efficient polarity reversal threshold (RRT)…

Image and Video Processing · Electrical Eng. & Systems 2022-01-19 Zihao Zhou , Maolin Li , Weipeng Guan

In this paper we provide a detailed description of Reed-Solomon (RS) codes, the most important algorithms for decoding them, and their use in concatenated coding systems for space applications. In the current literature there is scattered…

Information Theory · Computer Science 2016-08-16 Polykarpos Thomadakis , Antonios Argyriou

The performance of algebraic soft-decision decoding of Reed-Solomon codes using bit-level soft information is investigated. Optimal multiplicity assignment strategies of algebraic soft-decision decoding with infinite cost are first studied…

Information Theory · Computer Science 2008-08-05 Jing Jiang , Krishna R. Narayanan

We give a recursive decoding algorithm for projective Reed-Muller codes making use of a decoder for affine Reed-Muller codes. We determine the number of errors that can be corrected in this way, which is the current highest for decoders of…

Information Theory · Computer Science 2026-02-27 Rodrigo San-José

We propose two coding schemes for distributed matrix multiplication in the presence of stragglers. These coding schemes are adaptations of LT codes and Raptor codes to distributed matrix multiplication and are termed \emph{factored LT (FLT)…

Information Theory · Computer Science 2019-07-26 Asit Kumar Pradhan , Anoosheh Heidarzadeh , Krishna R. Narayanan

Generalized spatial modulation (GSM) is a spectral-efficient technique used in multiple-input multiple-output (MIMO) wireless communications when the number of radio frequency chains at the transmitter is less than the number of transmit…

Information Theory · Computer Science 2020-08-11 Lakshit Singla , Lakshmi Natarajan

In this letter, a novel Golden-Hadamard codebook (GHC) scheme is proposed to improve the performance of the traditional precoded Alamouti coding for multiple-input and single-output systems. Although the traditional discrete Fourier…

Information Theory · Computer Science 2018-10-12 Md. Abdul Latif Sarker , Md. Fazlul Kader , Moon Ho Lee , Dong Seog Han

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