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In this paper, the paradigm of sphere decoding (SD) for solving the integer least square problem (ILS) is revisited, where extra degrees of freedom are introduced to exploit the decoding potential. Firstly, the equivalent sphere decoding…

Information Theory · Computer Science 2025-12-23 Zheng Wang , Cong Ling , Shi Jin , Yongming Huang , Feifei Gao

Sphere decoding (SD) is a low complexity maximum likelihood (ML) detection algorithm, which has been adapted for different linear channels in digital communications. The complexity of the SD has been shown to be exponential in some cases,…

Information Theory · Computer Science 2007-07-13 Luay Azzam , Ender Ayanoglu

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

Sphere decoding (SD) of polar codes is an efficient method to achieve the error performance of maximum likelihood (ML) decoding. But the complexity of the conventional sphere decoder is still high, where the candidates in a target sphere…

Information Theory · Computer Science 2013-08-14 Kai Niu , Kai Chen , Jiaru Lin

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

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

Despite its reduced complexity, lattice reduction-aided decoding exhibits a widening gap to maximum-likelihood (ML) performance as the dimension increases. To improve its performance, this paper presents randomized lattice decoding based on…

Information Theory · Computer Science 2016-11-17 Shuiyin Liu , Cong Ling , Damien Stehlé

In this paper, we propose a reduced-complexity optimal modified sphere decoding (MSD) detection scheme for SCMA. As SCMA systems are characterized by a number of resource elements (REs) that are less than the number of the supported users,…

Information Theory · Computer Science 2017-08-30 Monirosharieh Vameghestahbanati , Ebrahim Bedeer , Ian Marsland , Ramy H. Gohary , Halim Yanikomeroglu

This paper discusses the problem of extracting spread spectrum hidden data from the perspective of lattice decoding. Since the conventional blind extraction scheme multi-carrier iterative generalize least-squares (M-IGLS) and non-blind…

Cryptography and Security · Computer Science 2023-06-01 Fan Yang , Shanxiang Lyu , Hao Cheng , Jinming Wen , Hao Chen

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

Removing the aberrations introduced by the Point Spread Function (PSF) is a fundamental aspect of astronomical image processing. The presence of noise in observed images makes deconvolution a nontrivial task that necessitates the use of…

Instrumentation and Methods for Astrophysics · Physics 2017-05-03 Samuel Farrens , Jean-Luc Starck , Fred Maurice Ngolè Mboula

A new computational algorithm, the discrete singular convolution (DSC), is introduced for computational electromagnetics. The basic philosophy behind the DSC algorithm for the approximation of functions and their derivatives is studied.…

Numerical Analysis · Mathematics 2025-10-20 G. W. Wei

In this paper, we propose a novel learning-aided sphere decoding (SD) scheme for large multiple-input--multiple-output systems, namely, deep path prediction-based sphere decoding (DPP-SD). In this scheme, we employ a neural network (NN) to…

Information Theory · Computer Science 2020-01-03 Doyeon Weon , Kyungchun Lee

Spatial modulation (SM) is a promising multiple-input multiple-output system used to increase spectral efficiency. The maximum likelihood (ML) decoder jointly detects the transmitted SM symbol, which is of high complexity. In this paper, a…

Information Theory · Computer Science 2020-06-11 Ibrahim Al-Nahhal , Octavia A. Dobre , Salama Ikki

In this paper, we propose an efficient ordered-statistics decoding (OSD) algorithm with an adaptive Gaussian elimination (GE) reduction technique. The proposed decoder utilizes two decoding conditions to adaptively remove GE in OSD. The…

Information Theory · Computer Science 2022-12-26 Chentao Yue , Mahyar Shirvanimoghaddam , Branka Vucetic , Yonghui Li

We study the problem of list-decodable Gaussian mean estimation and the related problem of learning mixtures of separated spherical Gaussians. We develop a set of techniques that yield new efficient algorithms with significantly improved…

Data Structures and Algorithms · Computer Science 2017-11-21 Ilias Diakonikolas , Daniel M. Kane , Alistair Stewart

This paper investigates the problems large-scale distributed composite convex optimization, with motivations from a broad range of applications, including multi-agent systems, federated learning, smart grids, wireless sensor networks,…

Optimization and Control · Mathematics 2025-12-16 Maoran Wang , Xingju Cai , Yongxin Chen

In the setting of quasi-static multiple-input multiple-output (MIMO) channels, we consider the high signal-to-noise ratio (SNR) asymptotic complexity required by the sphere decoding (SD) algorithm for decoding a large class of full rate…

Information Theory · Computer Science 2011-02-08 Joakim Jalden , Petros Elia

Massive MIMO systems are seen by many researchers as a paramount technology toward next generation networks. This technology consists of hundreds of antennas that are capable of sending and receiving simultaneously a huge amount of data.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-25 A. Dabah , H. Ltaief , Z. Rezki , M. -A. Arfaoui , M. -S. Alouini , D. Keyes

The security of code-based cryptography relies primarily on the hardness of generic decoding with linear codes. The best generic decoding algorithms are all improvements of an old algorithm due to Prange: they are known under the name of…

Cryptography and Security · Computer Science 2017-02-09 Thomas Debris-Alazard , Jean-Pierre Tillich
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