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It is shown that any communication system which admits a sum-product (SP) receiver also admits a corresponding linear-programming (LP) receiver. The two receivers have a relationship defined by the local structure of the underlying…

Information Theory · Computer Science 2008-09-18 Mark F. Flanagan

A framework for linear-programming (LP) decoding of nonbinary linear codes over rings is developed. This framework facilitates linear-programming based reception for coded modulation systems which use direct modulation mapping of coded…

Information Theory · Computer Science 2016-11-15 Mark F. Flanagan , Vitaly Skachek , Eimear Byrne , Marcus Greferath

We develop a framework for linear-programming (LP) decoding of non-binary linear codes over rings. We prove that the resulting LP decoder has the `maximum likelihood certificate' property, and we show that the decoder output is the lowest…

Information Theory · Computer Science 2007-10-10 Mark F. Flanagan , Vitaly Skachek , Eimear Byrne , Marcus Greferath

This letter considers a network comprising a transmitter, which employs random linear network coding to encode a message, a legitimate receiver, which can recover the message if it gathers a sufficient number of linearly independent coded…

Cryptography and Security · Computer Science 2022-03-08 Amjad Saeed Khan , Andrea Tassi , Ioannis Chatzigeorgiou

Sparse code multiple access (SCMA) is an emerging paradigm for efficient enabling of massive connectivity in future machine-type communications (MTC). In this letter, we conceive the uplink transmissions of the low-density parity check…

Information Theory · Computer Science 2022-02-14 Lingyun Chai , Zilong Liu , Pei Xiao , Amine Maaref , Lin Bai

The conventional receiver designs of generalized frequency division multiplexing (GFDM) consider a large scale multiple-input multiple-output (MIMO) system with a block circular matrix of combined channel and modulation. Exploiting this…

Signal Processing · Electrical Eng. & Systems 2018-12-17 Ahmad Nimr , Marwa Chafii , Gerhard Fettweis

Throughput and per-packet delay can present strong trade-offs that are important in the cases of delay sensitive applications.We investigate such trade-offs using a random linear network coding scheme for one or more receivers in single hop…

Networking and Internet Architecture · Computer Science 2012-02-06 Weifei Zeng , Chris T. K. Ng , Muriel Medard

We present lower bounds on the minimum pseudocodeword effective Euclidean distance (or minimum "pseudodistance") for coded modulation systems using linear codes with $q$-ary phase-shift keying (PSK) modulation over the additive white…

Information Theory · Computer Science 2008-06-12 Vitaly Skachek , Mark F. Flanagan

In this paper, we perform receiver design for a diffusive molecular communication environment. Our model includes flow in any direction, sources of information molecules in addition to the transmitter, and enzymes in the propagation…

Information Theory · Computer Science 2014-10-17 Adam Noel , Karen C. Cheung , Robert Schober

We identify a connection between the approximability of CSPs in two models: (i) sublinear space streaming algorithms, and (ii) the basic LP relaxation. We show that whenever the basic LP admits an integrality gap, there is an…

Computational Complexity · Computer Science 2025-09-23 Noah G. Singer , Madhur Tulsiani , Santhoshini Velusamy

Locally Differentially Private (LDP) Reports are commonly used for collection of statistics and machine learning in the federated setting. In many cases the best known LDP algorithms require sending prohibitively large messages from the…

Cryptography and Security · Computer Science 2021-02-25 Vitaly Feldman , Kunal Talwar

Modern communication systems organize receivers in blocks in order to simplify their analysis and design. However, an approach that considers the receiver design from a wider perspective rather than treating it block-by-block may take…

Information Theory · Computer Science 2020-12-07 Sami Akın , Maxim Penner , Jürgen Peissig

We propose a novel flexible and scalable framework to design integrated communication and computing (ICC) -- a.k.a. over-the-air computing (AirComp)-- receivers. To elaborate, while related literature so far has generally focused either on…

Signal Processing · Electrical Eng. & Systems 2024-11-12 Kuranage Roche Rayan Ranasinghe , Kengo Ando , Giuseppe Thadeu Freitas de Abreu

We propose a novel low-complexity receiver design for multicarrier continuous aperture array (CAPA) systems operating over doubly-dispersive (DD) channels. The receiver leverages a Gaussian Belief Propagation (GaBP)-based framework that…

Signal Processing · Electrical Eng. & Systems 2025-09-30 Kuranage Roche Rayan Ranasinghe , Giuseppe Thadeu Freitas de Abreu , Emil Björnson

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

We design iterative receiver schemes for a generic wireless communication system by treating channel estimation and information decoding as an inference problem in graphical models. We introduce a recently proposed inference framework that…

We consider the design of multiple-input multiple-output communication systems with a linear precoder at the transmitter, zero-forcing decision feedback equalization (ZF-DFE) at the receiver, and a low-rate feedback channel that enables…

Information Theory · Computer Science 2008-04-16 Michael Botros Shenouda , Timothy Davidson

A new property which relies on the linear programming (LP) decoder, the approximate maximum-likelihood certificate (AMLC), is introduced. When using the belief propagation decoder, this property is a measure of how close the decoded…

Information Theory · Computer Science 2011-05-17 Idan Goldenberg , David Burshtein

A linear programming (LP) based framework is presented for obtaining converses for finite blocklength lossy joint source-channel coding problems. The framework applies for any loss criterion, generalizes certain previously known converses,…

Information Theory · Computer Science 2017-05-04 Sharu Theresa Jose , Ankur A. Kulkarni

The problem of community detection with two equal-sized communities is closely related to the minimum graph bisection problem over certain random graph models. In the stochastic block model distribution over networks with community…

Optimization and Control · Mathematics 2022-05-13 Alberto Del Pia , Aida Khajavirad , Dmitriy Kunisky
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