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In Linear Programming (LP) decoding of a Low-Density-Parity-Check (LDPC) code one minimizes a linear functional, with coefficients related to log-likelihood ratios, over a relaxation of the polytope spanned by the codewords \cite{03FWK}. In…

Information Theory · Computer Science 2007-07-13 Michael Chertkov , Mikhail G. Stepanov

Ultra-high-resolution target sensing has emerged as a key enabler for various cutting-edge applications, which can be realized by utilizing the millimeter wave/terahertz frequencies. However, the extremely high operating frequency…

Signal Processing · Electrical Eng. & Systems 2023-05-15 Fan Zhang , Tianqi Mao , Zhaocheng Wang

A novel code construction based on spatially coupled low-density parity-check (SC-LDPC) codes is presented. The proposed code ensembles are described by protographs, comprised of several protograph-based chains characterizing individual…

Information Theory · Computer Science 2016-11-18 Dmitri Truhachev , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

Explicit codes are constructed that achieve the diversity-multiplexing gain tradeoff of the cooperative-relay channel under the dynamic decode-and-forward protocol for any network size and for all numbers of transmit and receive antennas at…

Information Theory · Computer Science 2007-07-13 Petros Elia , P. Vijay Kumar

The concept of well-rounded lattices has recently found important applications in the setting of a fading single-input single-output (SISO) wiretap channel. It has been shown that, under this setup, the property of being well-rounded is…

Information Theory · Computer Science 2016-09-27 Oliver W. Gnilke , Amaro Barreal , Alex Karrila , Ha Thanh Nguyen Tran , David A. Karpuk , Camilla Hollanti

We study the theoretical performance of a combined approach to demodulation and decoding of binary continuous-phase modulated signals under repetition-like codes. This technique is motivated by a need to transmit packetized or framed data…

Information Theory · Computer Science 2014-04-28 Gaurav Thakur

Function-correcting codes with data protection simultaneously protect both the data and a function of the data at distinct error-correction levels. When the function receives strictly stronger protection than the data, such a code is called…

Information Theory · Computer Science 2026-04-30 Charul Rajput , B. Sundar Rajan , Ragnar Freij-Hollanti , Camilla Hollanti

This paper is concerned with the systematic Bernoulli generator matrix~(BGM) codes, which have been proved to be capacity-achieving over binary-input output-symmetric~(BIOS) channels in terms of bit-error rate~(BER). We prove that the…

Information Theory · Computer Science 2025-04-21 Yixin Wang , Fanhui Meng , Xiao Ma

The strongly correlated systems we use to realise quantum error-correcting codes may give rise to high-weight, problematic errors. Encouragingly, we can expect local quantum error-correcting codes with no string-like logical operators $-$…

Quantum Physics · Physics 2021-07-14 Georgia M. Nixon , Benjamin J. Brown

We study the error-correction properties of multi-mode Fock-state codes under amplitude-damping (AD) noise, focusing on the asymptotic regime in which the total excitation of the code states grows without limit and the number of photon…

Quantum Physics · Physics 2026-04-27 Dor Elimelech , Arda Aydin , Alexander Barg

This paper investigates the design of spatially coupled low-density parity-check (SC-LDPC) codes constructed from connected-chain ensembles for bit-interleaved coded modulation (BICM) schemes. For short coupling lengths, connecting multiple…

Information Theory · Computer Science 2021-07-08 Yihuan Liao , Min Qiu , Jinhong Yuan

We introduce a methodology for generating random multi-qubit stabilizer codes based on solving a constraint satisfaction problem (CSP) on random bipartite graphs. This framework allows us to enforce stabilizer commutation, $X/Z$ balancing,…

Quantum Physics · Physics 2023-04-26 Maxime Tremblay , Guillaume Duclos-Cianci , Stefanos Kourtis

We consider binary continuous phase modulation (CPM) signals used in some recent low-cost and low-power consumption telecommunications standard. When these signals are generated through a low-cost transmitter, the real modulation index can…

Information Theory · Computer Science 2015-09-14 Malek Messai , Colavolpe Giulio , Amis Karine , Guilloud Frederic

The problem of finding good linear codes for joint source-channel coding (JSCC) is investigated in this paper. By the code-spectrum approach, it has been proved in the authors' previous paper that a good linear code for the authors' JSCC…

Information Theory · Computer Science 2008-08-28 Shengtian Yang , Yan Chen , Thomas Honold , Zhaoyang Zhang , Peiliang Qiu

The performance of a CDMA based wireless system is largely dependent on the characteristics of pseudo-random spreading codes. The spreading codes should be carefully chosen to ensure highest possible peak value of auto-correlation function…

Information Theory · Computer Science 2012-06-12 Deepak Kedia

In this paper, we design the precoding matrices at the base station side and the combining matrices at the user terminal side for initial downlink synchronization in millimeter wave massive multiple-input multiple-output systems. First, we…

Information Theory · Computer Science 2017-10-31 Xin Meng , Xiqi Gao , Xiang-Gen Xia

Integrated sensing and communication (ISAC) techniques can leverage existing, wide-coverage communication networks to perform sensing tasks, enabling large-scale and low-cost target sensing. However, the inherent randomness of communication…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Kaitao Meng , Kawon Han , Christos Masouros , Fan Liu

In many practical communication systems, one binary encoder/decoder pair is used to communicate over a set of parallel channels. Examples of this setup include multi-carrier transmission, rate-compatible puncturing of turbo-like codes, and…

Information Theory · Computer Science 2024-01-25 Christian Häger , Alexandre Graell i Amat , Alex Alvarado , Fredrik Brännström , Erik Agrell

In this work, we explore the introduction of distributed space-time codes in decode-and-forward (DF) protocols. A first protocol named the Asymmetric DF is presented. It is based on two phases of different lengths, defined so that signals…

Information Theory · Computer Science 2008-11-05 Charlotte Hucher , Ghaya Rekaya-Ben Othman , Ahmed Saadani

Integrated sensing and communication (ISAC) is a key enabling technique for future wireless networks owing to its efficient hardware and spectrum utilization. In this paper, we focus on dual-functional waveform design for a multi-input…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Peishi Li , Ming Li , Rang Liu , Qian Liu , A. Lee Swindlehurst
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