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The sphere decoder (SD) is an attractive low-complexity alternative to maximum likelihood (ML) detection in a variety of communication systems. It is also employed in multiple-input multiple-output (MIMO) systems where the computational…

Information Theory · Computer Science 2013-03-05 Gianmarco Romano , Domenico Ciuonzo , Pierluigi Salvo Rossi , Francesco Palmieri

Recent advances in DNA sequencing technology and DNA storage systems have rekindled the interest in deletion channels. Multiple recent works have looked at variants of sequence reconstruction over a single and over multiple deletion…

Information Theory · Computer Science 2020-06-01 Sundara Rajan Srinivasavaradhan , Michelle Du , Suhas Diggavi , Christina Fragouli

BiD codes, which are a new family of algebraic codes of length $3^m$, achieve the erasure channel capacity under bit-MAP decoding and offer asymptotically larger minimum distance than Reed-Muller (RM) codes. In this paper we propose fast…

Information Theory · Computer Science 2026-01-15 Devansh Jain , Lakshmi Prasad Natarajan

Quantum error correction (QEC) is indispensable for realizing fault-tolerant quantum computation, yet its effectiveness hinges critically on the classical decoding algorithm that interprets noisy syndrome measurements. Among all possible…

Quantum Physics · Physics 2026-05-19 Hanyan Cao , Ge Yan , Yuxuan Du , Feng Pan

A lower bound on the maximum likelihood (ML) decoding error exponent of linear block code ensembles, on the erasure channel, is developed. The lower bound turns to be positive, over an ensemble specific interval of erasure probabilities,…

Information Theory · Computer Science 2019-01-23 Enrico Paolini , Gianluigi Liva

In this paper, we propose a new nonlinear detector with improved interference suppression in Multi-User Multiple Input, Multiple Output (MU-MIMO) system. The proposed detector is a combination of the following parts: QR decomposition (QRD),…

Other Computer Science · Computer Science 2020-09-29 Andrey Ivanov , Alexander Osinsky , Dmitry Lakontsev , Dmitry Yarotsky

Machine learning (ML) starts to be widely used to enhance the performance of multi-user multiple-input multiple-output (MU-MIMO) receivers. However, it is still unclear if such methods are truly competitive with respect to conventional…

Information Theory · Computer Science 2021-07-01 Mathieu Goutay , Fayçal Ait Aoudia , Jakob Hoydis , Jean-Marie Gorce

We propose a joint channel estimation and signal detection approach for the uplink non-orthogonal multiple access (NOMA) using unsupervised machine learning. We apply a Gaussian mixture model (GMM) to cluster the received signals, and…

Information Theory · Computer Science 2022-12-26 Ayoob Salari , Mahyar Shirvanimoghaddam , Muhammad Basit Shahab , Reza Arablouei , Sarah Johnson

We study the problem of estimating the means of well-separated mixtures when an adversary may add arbitrary outliers. While strong guarantees are available when the outlier fraction is significantly smaller than the minimum mixing weight,…

Minimum achievable complexity (MAC) for a maximum likelihood (ML) performance-achieving detection algorithm is derived. Using the derived MAC, we prove that the conventional sphere decoding (SD) algorithms suffer from an inherent weakness…

Information Theory · Computer Science 2021-09-21 Mohammad Neinavaie , Mostafa Derakhtian , Sergiy A. Vorobyov

Link adaptation is a crucial part of many modern communications systems, allowing the system to adapt the transmission and reception strategies to changes in channel conditions. One of the fundamental components of the link adaptation…

Information Theory · Computer Science 2009-09-08 Oded Redlich , Doron Ezri , Dov Wulich

In this paper, we propose a new detection technique for multiuser multiple-input multiple-output (MU-MIMO) systems. The proposed scheme combines a lattice reduction (LR) transformation, which makes the channel matrix nearly orthogonal, and…

Information Theory · Computer Science 2014-12-09 L. Arevalo , R. C. de Lamare , R. Sampaio-Neto

This paper is concerned with bounds on the maximum-likelihood (ML) decoding error probability of Reed-Solomon (RS) codes over additive white Gaussian noise (AWGN) channels. To resolve the difficulty caused by the dependence of the Euclidean…

Information Theory · Computer Science 2014-01-22 Qiutao Zhuang , Xiao Ma , Aleksander Kavcic

The maximum-likelihood (ML) decoder for symbol detection in large multiple-input multiple-output wireless communication systems is typically computationally prohibitive. In this paper, we study a popular and practical alternative, namely…

Signal Processing · Electrical Eng. & Systems 2018-07-04 Christos Thrampoulidis , Weiyu Xu , Babak Hassibi

Channel estimation is one of the key issues in practical massive multiple-input multiple-output (MIMO) systems. Compared with conventional estimation algorithms, deep learning (DL) based ones have exhibited great potential in terms of…

Information Theory · Computer Science 2021-08-24 Jiabao Gao , Mu Hu , Caijun Zhong , Geoffrey Ye Li , Zhaoyang Zhang

This paper introduces a framework for systematic complexity scaling of deep neural network(DNN) based MIMO detectors. The model uses a fraction of the DNN inputs by scaling their values through weights that follow monotonically…

Signal Processing · Electrical Eng. & Systems 2020-07-03 Abdullahi Mohammad , Christos Masouros , Yiannis Andreopoulos

Recursive list decoding is considered for Reed-Muller (RM) codes. The algorithm repeatedly relegates itself to the shorter RM codes by recalculating the posterior probabilities of their symbols. Intermediate decodings are only performed…

Information Theory · Computer Science 2017-03-17 Ilya Dumer , Kirill Shabunov

In this paper, Sphere Decoding (SD) algorithms for Spatial Modulation (SM) are developed to reduce the computational complexity of Maximum-Likelihood (ML) detectors. Two SDs specifically designed for SM are proposed and analysed in terms of…

Information Theory · Computer Science 2013-05-31 Abdelhamid Younis , Sinan Sinanović , Marco Di Renzo , Raed Mesleh , Harald Haas

Following the great success of Machine Learning (ML), especially Deep Neural Networks (DNNs), in many research domains in 2010s, several ML-based approaches were proposed for detection in large inverse linear problems, e.g., massive MIMO…

Signal Processing · Electrical Eng. & Systems 2021-10-22 Edgar Beck , Carsten Bockelmann , Armin Dekorsy

This paper tackles two problems that fall under the study of coding for insertions and deletions. These problems are motivated by several applications, among them is reconstructing strands in DNA-based storage systems. Under this paradigm,…

Information Theory · Computer Science 2025-06-23 Omer Sabary , Daniella Bar-Lev , Yotam Gershon , Alexander Yucovich , Eitan Yaakobi
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