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We propose a new type of short to moderate block-length, linear error-correcting codes, called moderate-density parity-check (MDPC) codes. The number of ones of the parity-check matrix of the codes presented is typically higher than the…

Information Theory · Computer Science 2009-11-18 Samuel Ouzan , Yair Be'ery

This study addresses the centralized synthesis of distributed controllers using linear matrix inequalities (LMIs). Sparsity constraints on control gains of distributed controllers result in conservatism via the convexification of the…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Sotaro Fushimi , Yuto Watanabe , Kazunori Sakurama

Motivated by the recent developments in the Space Shift Keying (SSK) and Spatial Modulation (SM) systems which employ Time-Orthogonal Pulse Shaping (TOPS) filters to achieve transmit diversity gains, we propose TOPS for Space-Time Block…

Information Theory · Computer Science 2012-04-26 Rakshith Rajashekar , K. V. S. Hari

Designing large coupling memory quasi-cyclic spatially-coupled LDPC (QC-SC-LDPC) codes with low error floors requires eliminating specific harmful substructures (e.g., short cycles) induced by edge spreading and lifting. Building on our…

Information Theory · Computer Science 2026-01-21 Lei Huang

We consider the distributed computing problem of multiplying a set of vectors with a matrix. For this scenario, Li et al. recently presented a unified coding framework and showed a fundamental tradeoff between computational delay and…

Information Theory · Computer Science 2017-09-19 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes

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

Multiple-input double-output (MIDO) codes are important in the near-future wireless communications, where the portable end-user device is physically small and will typically contain at most two receive antennas. Especially tempting is the 4…

Information Theory · Computer Science 2016-11-15 Roope Vehkalahti , Camilla Hollanti , Frédérique Oggier

A new ensemble of structured codes is introduced. These codes are called Quasi Linear Codes (QLC). The QLC's are constructed by taking subsets of linear codes. They have a looser structure compared to linear codes and are not closed under…

Information Theory · Computer Science 2016-02-16 F. Shirani , M. Heidari , S. S. Pradhan

Generalized low-density parity-check (GLDPC) codes, where single parity-check constraints on the code bits are replaced with generalized constraints (an arbitrary linear code), are a promising class of codes for low-latency communication.…

Information Theory · Computer Science 2025-08-12 Roxana Smarandache , David G. M. Mitchell , Anthony Gómez-Fonseca

Low density lattice codes (LDLC) are novel lattice codes that can be decoded efficiently and approach the capacity of the additive white Gaussian noise (AWGN) channel. In LDLC a codeword x is generated directly at the n-dimensional…

Information Theory · Computer Science 2007-07-13 Naftali Sommer , Meir Feder , Ofir Shalvi

We examine LDPC codes decoded using linear programming (LP). Four contributions to the LP framework are presented. First, a new method of tightening the LP relaxation, and thus improving the LP decoder, is proposed. Second, we present an…

Information Theory · Computer Science 2016-11-17 David Burshtein , Idan Goldenberg

This paper proposes a novel joint non-binary network-channel code for the Time-Division Decode-and-Forward Multiple Access Relay Channel (TD-DF-MARC), where the relay linearly combines -- over a non-binary finite field -- the coded…

Information Theory · Computer Science 2016-11-15 Mikel Hernaez , Pedro M. Crespo , Javier Del Ser

Associative division algebras are a rich source of fully diverse space-time block codes (STBCs). In this paper the systematic construction of fully diverse STBCs from nonassociative algebras is discussed. As examples, families of fully…

Information Theory · Computer Science 2012-02-07 Susanne Pumpluen , Thomas Unger

We propose a new code design that aims to distribute an LDPC code over a relay channel. It is based on a split-and-extend approach, which allows the relay to split the set of bits connected to some parity-check of the LDPC code into two or…

Information Theory · Computer Science 2010-04-30 Valentin Savin

Just as rank-metric or Gabidulin codes may be used to construct rate-diversity tradeoff optimal space-time codes, a recently introduced generalization for the sum-rank metric -- linearized Reed-Solomon codes -- accomplishes the same in the…

Information Theory · Computer Science 2021-03-10 Mohannad Shehadeh , Frank R. Kschischang

A new approach for designing bilayer and multi-layer LDPC codes is proposed and studied in the asymptotic regime. The ensembles are defined through individual uni-variate degree distributions, one for each layer. We present a construction…

Information Theory · Computer Science 2020-10-29 Eshed Ram , Yuval Cassuto

LT (Luby transform) codes are a celebrated family of rateless erasure codes (RECs). Most of existing LT codes were designed for applications in which a centralized encoder possesses all message blocks and is solely responsible for encoding…

Information Theory · Computer Science 2023-05-12 Jingfan Meng , Ziheng Liu , Yiwei Wang , Jun Xu

This paper (Part of the content of this manuscript has been accepted for presentation in IEEE Globecom 2008, to be held in New Orleans) deals with low maximum likelihood (ML) decoding complexity, full-rate and full-diversity space-time…

Information Theory · Computer Science 2008-09-04 K. Pavan Srinath , B. Sundar Rajan

Cyclic liftings are proposed to lower the error floor of low-density parity-check (LDPC) codes. The liftings are designed to eliminate dominant trapping sets of the base code by removing the short cycles which form the trapping sets. We…

Information Theory · Computer Science 2010-02-24 Reza Asvadi , Amir H. Banihashemi , Mahmoud Ahmadian-Attari

Differential distributed space-time coding (D-DSTC) is a cooperative transmission technique that can improve diversity in wireless relay networks in the absence of channel information. Conventionally, it is assumed that channels are…

Information Theory · Computer Science 2014-11-18 M. R. Avendi , Hamid Jafarkhani
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