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In this paper we present an FPGA-based implementation of linear programming (LP) decoding. LP decoding frames error correction as an optimization problem. This is in contrast to variants of belief propagation (BP) decoding that view error…

Information Theory · Computer Science 2016-05-23 Mitchell Wasson , Mario Milicevic , Stark C. Draper , Glenn Gulak

While linear programming (LP) decoding provides more flexibility for finite-length performance analysis than iterative message-passing (IMP) decoding, it is computationally more complex to implement in its original form, due to both the…

Information Theory · Computer Science 2009-02-05 Mohammad H. Taghavi , Amin Shokrollahi , Paul H. Siegel

We introduce multiple symmetric LP relaxations for minimum cut problems. The relaxations give optimal and approximate solutions when the input is a Hamiltonian cycle. We show that this leads to one of two interesting results. In one case,…

Data Structures and Algorithms · Computer Science 2020-05-26 Robert D. Carr , Jennifer Iglesias , Giuseppe Lanciac , Benjamin Moseley

Wideband communication receivers often deal with the problems of detecting weak signals from distant sources received together with strong nearby interferers. When the techniques of random modulation are used in communication system…

Information Theory · Computer Science 2018-11-15 Dian Mo , Marco F. Duarte

Index coding is concerned with efficient broadcast of a set of messages to receivers in the presence of receiver side information. In this paper, we study the secure index coding problem with security constraints on the receivers…

Information Theory · Computer Science 2020-04-16 Yucheng Liu , Parastoo Sadeghi , Neda Aboutorab , Arman Sharififar

Compressing the output of \epsilon-locally differentially private (LDP) randomizers naively leads to suboptimal utility. In this work, we demonstrate the benefits of using schemes that jointly compress and privatize the data using shared…

Cryptography and Security · Computer Science 2022-03-01 Abhin Shah , Wei-Ning Chen , Johannes Balle , Peter Kairouz , Lucas Theis

This paper presents new results on linear transceiver designs in a multiple-input-multiple-output (MIMO) link. By considering the minimal total mean-square error (MSE) criterion, we prove that the robust optimal linear transceiver design…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Hongying Tang , Wen Chen , Jun Li

A subspace code is a nonempty collection of subspaces of the vector space $\mathbb{F}_q^{n}$. A pair of linear codes is called a linear complementary pair (in short LCP) of codes if their intersection is trivial and the sum of their…

Information Theory · Computer Science 2026-04-03 Sanjit Bhowmick

We present the design of an analog circuit which solves linear programming (LP) problems. In particular, the steady-state circuit voltages are the components of the LP optimal solution. The paper shows how to construct the circuit and…

Optimization and Control · Mathematics 2013-05-07 Sergey Vichik , Francesco Borrelli

Random linear network coding (RLNC) is asymptotically throughput optimal in the wireless broadcast of a block of packets from a sender to a set of receivers, but suffers from heavy computational load and packet decoding delay. To mitigate…

Information Theory · Computer Science 2015-06-04 Mingchao Yu , Parastoo Sadeghi , Alex Sprintson

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

In this letter, we develop a low-complexity transceiver design, referred to as semi-random beam pairing (SRBP), for sparse multipath massive MIMO channels. By exploring a sparse representation of the MIMO channel in the virtual angular…

Information Theory · Computer Science 2016-08-24 Yuehua Yu , Peng Wang , He Chen , Yonghui Li , Branka Vucetic

We consider an ensemble of constant composition codes that are subsets of linear codes: while the encoder uses only the constant-composition subcode, the decoder operates as if the full linear code was used, with the motivation of…

Information Theory · Computer Science 2022-06-22 Neri Merhav , Georg Bocherer

The error floor phenomenon observed with LDPC codes and their graph-based, iterative, message-passing (MP) decoders is commonly attributed to the existence of error-prone substructures -- variously referred to as near codewords, trapping…

Information Theory · Computer Science 2013-09-11 Xiaojie Zhang , Paul H. Siegel

An index code is said to be locally decodable if each receiver can decode its demand using its side information and by querying only a subset of the transmitted codeword symbols instead of observing the entire codeword. Local decodability…

Information Theory · Computer Science 2019-01-18 Lakshmi Natarajan , Hoang Dau , Prasad Krishnan , V. Lalitha

Message-passing algorithms based on belief-propagation (BP) are successfully used in many applications including decoding error correcting codes and solving constraint satisfaction and inference problems. BP-based algorithms operate over…

Information Theory · Computer Science 2013-07-16 Guy Even , Nissim Halabi

In this paper, we study the optimal secondary-link beamforming pattern that balances between the SU's throughput and the interference it causes to PUs in MIMO cognitive radio networks. In particular, we aim to maximize the throughput of the…

Networking and Internet Architecture · Computer Science 2010-08-11 Ying Jun Zhang , Anthony Man-Cho So

This paper investigates multiuser multi-input single-output downlink symbiotic radio communication systems assisted by an intelligent reflecting surface (IRS). Different from existing methods ideally assuming the secondary user (SU) can…

Information Theory · Computer Science 2021-10-22 Shaokang Hu , Chang Liu , Zhiqiang Wei , Yuanxin Cai , Derrick Wing Kwan Ng , Jinhong Yuan

Laser light is widely used for communication and sensing applications, so the optimal discrimination of coherent states--the quantum states of light emitted by a laser--has immense practical importance. However, quantum mechanics imposes a…

Quantum Physics · Physics 2013-05-24 Marcus P. da Silva , Saikat Guha , Zachary Dutton

This paper develops a systematic approach to realising linear detectors with an optimised sensitivity, allowing for the detection of extremely weak signals. First, general constraints are derived on a specific class of input-output transfer…

Quantum Physics · Physics 2023-01-09 Joe Bentley , Hendra Nurdin , Yanbei Chen , Xiang Li , Haixing Miao