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In Multiple-Input Multiple-Output (MIMO) systems, Sphere Decoding (SD) can achieve performance equivalent to full search Maximum Likelihood (ML) decoding, with reduced complexity. Several researchers reported techniques that reduce the…

Information Theory · Computer Science 2015-03-13 Boyu Li , Ender Ayanoglu

Multiple-input multiple-output (MIMO) systems have been widely acclaimed in order to provide high data rates. Recently Lattice Reduction (LR) aided detectors have been proposed to achieve near Maximum Likelihood (ML) performance with low…

Information Theory · Computer Science 2016-02-22 Mehnaz Rahman , Gwan S. Choi

We consider the NP-hard problem of minimizing a convex quadratic function over the integer lattice ${\bf Z}^n$. We present a simple semidefinite programming (SDP) relaxation for obtaining a nontrivial lower bound on the optimal value of the…

Optimization and Control · Mathematics 2017-03-16 Jaehyun Park , Stephen Boyd

This paper presents a computationally efficient decoder for multiple antenna systems. The proposed algorithm can be used for any constellation (QAM or PSK) and any labeling method. The decoder is based on matrix-lifting Semi-Definite…

Information Theory · Computer Science 2007-09-12 Amin Mobasher , Amir K. Khandani

This paper deals with the algorithmic aspects of solving feasibility problems of semidefinite programming (SDP), aka linear matrix inequalities (LMI). Since in some SDP instances all feasible solutions have irrational entries, numerical…

Optimization and Control · Mathematics 2025-04-28 Vladimir Kolmogorov , Simone Naldi , Jeferson Zapata

Motivated by applications in wireless communications, this paper develops semidefinite programming (SDP) relaxation techniques for some mixed binary quadratically constrained quadratic programs (MBQCQP) and analyzes their approximation…

Optimization and Control · Mathematics 2014-03-18 Zi Xu , Mingyi Hong , Zhi-Quan Luo

A matrix optimization problem over an uncertain linear system on finite horizon (abbreviated as MOPUL) is studied, in which the uncertain transition matrix is regarded as a decision variable. This problem is in general NP-hard. By using the…

Optimization and Control · Mathematics 2023-10-31 Jintao Xu , Shu-Cherng Fang , Wenxun Xing

The multireference alignment problem consists of estimating a signal from multiple noisy shifted observations. Inspired by existing Unique-Games approximation algorithms, we provide a semidefinite program (SDP) based relaxation which…

Data Structures and Algorithms · Computer Science 2013-08-27 Afonso S. Bandeira , Moses Charikar , Amit Singer , Andy Zhu

We have observed an interesting, yet unexplained, phenomenon: Semidefinite programming (SDP) based relaxations of maximum likelihood estimators (MLE) tend to be tight in recovery problems with noisy data, even when MLE cannot exactly…

Optimization and Control · Mathematics 2014-04-11 Afonso S. Bandeira , Yuehaw Khoo , Amit Singer

In this paper, a novel low-complexity detection algorithm for spatial modulation (SM), referred to as the minimum-distance of maximum-length (m-M) algorithm, is proposed and analyzed. The proposed m-M algorithm is a smart searching method…

Information Theory · Computer Science 2019-07-22 Ibrahim Al-Nahhal , Ertugrul Basar , Octavia A. Dobre , Salama Ikki

We propose a novel optimization-based decoding algorithm for LDPC-coded massive MIMO channels. The proposed decoding algorithm is based on a proximal gradient method for solving an approximate maximum a posteriori (MAP) decoding problem.…

Information Theory · Computer Science 2021-02-11 Tadashi Wadayama , Satoshi Takabe

Massive MIMO is a variant of multiuser MIMO, where the number of antennas $M$ at the base-station is large, and generally much larger than the number of spatially multiplexed data streams to/from the users. It has been observed that in many…

Information Theory · Computer Science 2017-07-25 Saeid Haghighatshoar , Giuseppe Caire

This paper proposes spatial lattice modulation (SLM), a spatial modulation method for multipleinput-multiple-output (MIMO) systems. The key idea of SLM is to jointly exploit spatial, in-phase, and quadrature dimensions to modulate…

Information Theory · Computer Science 2018-05-23 Jiwook Choi , Yunseo Nam , Namyoon Lee

The multiple-input multiple-output (MIMO) detection problem, a fundamental problem in modern digital communications, is to detect a vector of transmitted symbols from the noisy outputs of a fading MIMO channel. The maximum likelihood…

Optimization and Control · Mathematics 2021-02-10 Ruichen Jiang , Ya-Feng Liu , Chenglong Bao , Bo Jiang

In this paper, a derandomized algorithm for sampling decoding is proposed to achieve near-optimal performance in lattice decoding. By setting a probability threshold to sample candidates, the whole sampling procedure becomes deterministic,…

Information Theory · Computer Science 2016-11-17 Zheng Wang , Shuiyin Liu , Cong Ling

Several algorithms are available in the literature for finding the entire set of Pareto-optimal solutions in MultiObjective Linear Programming (MOLP). However, it has not been proposed so far an interior point algorithm that finds all…

Optimization and Control · Mathematics 2011-12-30 Víctor Blanco , Justo Puerto , Safae El-Haj Ben-Ali

In multiple-input multiple-output (MIMO) fading channels maximum likelihood (ML) detection is desirable to achieve high performance, but its complexity grows exponentially with the spectral efficiency. The current state of the art in MIMO…

Information Theory · Computer Science 2007-07-13 Massimiliano Siti , Michael P. Fitz

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

We describe two implementations of the optimal error correction algorithm known as the maximum likelihood decoder (MLD) for the 2D surface code with a noiseless syndrome extraction. First, we show how to implement MLD exactly in time…

Quantum Physics · Physics 2014-10-01 Sergey Bravyi , Martin Suchara , Alexander Vargo

The 3D MIMO code is a robust and efficient space-time coding scheme for the distributed MIMO broadcasting. However, it suffers from the high computational complexity if the optimal maximum-likelihood (ML) decoding is used. In this paper we…

Information Theory · Computer Science 2014-01-08 Ming Liu , Jean-François Hélard , Matthieu Crussière , Maryline Hélard
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