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In this paper, fast-decodable lattice code constructions are designed for the nonorthogonal amplify-and-forward (NAF) multiple-input multiple-output (MIMO) channel. The constructions are based on different types of algebraic structures,…

Information Theory · Computer Science 2012-02-28 Camilla Hollanti , Nadya Markin

Nonnegative Tucker decomposition (NTD), a tensor decomposition model, has received increased interest in the recent years because of its ability to blindly extract meaningful patterns, in particular in Music Information Retrieval.…

In this paper, a novel robust beamforming scheme is proposed in three dimensional multi-input multi-output (3D-MIMO) systems. As one of the typical deployments of massive MIMO, a 3D-MIMO system owns sparse channels in angular domain. Thus,…

Signal Processing · Electrical Eng. & Systems 2018-12-19 Kai Liu , Hui Feng , Tao Yang , Bo Hu

We develop a framework to optimize the tradeoff between diversity, multiplexing, and delay in MIMO systems to minimize end-to-end distortion. We first focus on the diversity-multiplexing tradeoff in MIMO systems, and develop analytical…

Information Theory · Computer Science 2008-04-09 Tim Holliday , Andrea J. Goldsmith , H. Vincent Poor

In this paper, we consider the problem of recursively designing uniquely decodable ternary code sets for highly overloaded synchronous code-division multiple-access (CDMA) systems. The proposed code set achieves larger number of users $K <…

Information Theory · Computer Science 2019-02-27 Michel Kulhandjian , Claude D'Amours , Hovannes Kulhandjian

Randomized numerical linear algebra is proved to bridge theoretical advancements to offer scalable solutions for approximating tensor decomposition. This paper introduces fast randomized algorithms for solving the fixed Tucker-rank problem…

Numerical Analysis · Mathematics 2025-06-06 Maolin Che , Yimin Wei , Chong Wu , Hong Yan

Big data analysis has become a crucial part of new emerging technologies such as the internet of things, cyber-physical analysis, deep learning, anomaly detection, etc. Among many other techniques, dimensionality reduction plays a key role…

Vertical decomposition is a widely used general technique for decomposing the cells of arrangements of semi-algebraic sets in $d$-space into constant-complexity subcells. In this paper, we settle in the affirmative a few long-standing open…

Computational Geometry · Computer Science 2023-11-06 Pankaj K. Agarwal , Esther Ezra , Micha Sharir

In this paper, we propose three approaches for the estimation of the Tucker decomposition of multi-way arrays (tensors) from partial observations. All approaches are formulated as convex minimization problems. Therefore, the minimum is…

Machine Learning · Statistics 2015-03-17 Ryota Tomioka , Kohei Hayashi , Hisashi Kashima

With the goal of improving spectral efficiency, complex rotation-based precoding and power allocation schemes are developed for two multiple-input multiple-output (MIMO) communication systems, namely, simultaneous wireless information and…

Information Theory · Computer Science 2021-11-30 Xinliang Zhang , Mojtaba Vaezi

Dimensionality reduction is an essential technique for multi-way large-scale data, i.e., tensor. Tensor ring (TR) decomposition has become popular due to its high representation ability and flexibility. However, the traditional TR…

Numerical Analysis · Mathematics 2024-12-20 Longhao Yuan , Chao Li , Jianting Cao , Qibin Zhao

Tensor decomposition methodologies are proposed to reduce the memory requirement of translation operator tensors arising in the fast multipole method-fast Fourier transform (FMM-FFT)-accelerated surface integral equation (SIE) simulators.…

Signal Processing · Electrical Eng. & Systems 2020-11-25 Cheng Qian , Abdulkadir C. Yucel

The optimization of joint source and channel coding for a sequence of numerous progressive packets is a challenging problem. Further, the problem becomes more complicated if the space-time coding is also involved with the optimization in a…

Information Theory · Computer Science 2017-09-18 Meesue Shin , Laura Toni , Sang-Hyo Kim , Seok-Ho Chang

Nonnegative Tucker decomposition (NTD) is a powerful tool for the extraction of nonnegative parts-based and physically meaningful latent components from high-dimensional tensor data while preserving the natural multilinear structure of…

Machine Learning · Computer Science 2015-09-17 Guoxu Zhou , Andrzej Cichocki , Qibin Zhao , Shengli Xie

The QR Decomposition (QRD) of communication channel matrices is a fundamental prerequisite to several detection schemes in Multiple-Input Multiple-Output (MIMO) communication systems. Herein, the main feature of the QRD is to transform the…

Other Computer Science · Computer Science 2016-11-17 Sebastien Aubert , Manar Mohaisen , Fabienne Nouvel , KyungHi Chang

It has been widely observed that there exists a fundamental trade-off between the minimum (Hamming) distance properties and the iterative decoding convergence behavior of turbo-like codes. While capacity achieving code ensembles typically…

It is known that circularly symmetric Gaussian signals are the optimal input signals for the partial decode-and-forward (PDF) coding scheme in the Gaussian multiple-input multiple-output (MIMO) relay channel, but there is currently no…

Information Theory · Computer Science 2019-11-15 Christoph Hellings , Patrick Gest , Thomas Wiegart , Wolfgang Utschick

In moderate- to high-mobility scenarios, CSI varies rapidly and becomes temporally non-stationary, leading to severe performance degradation in the massive MIMO transmissions. To address this issue, we propose a tensor-structured approach…

Signal Processing · Electrical Eng. & Systems 2025-04-15 Hongwei Hou , Yafei Wang , Yiming Zhu , Xinping Yi , Wenjin Wang , Dirk T. M. Slock , Shi Jin

Recurrent Neural Networks (RNNs) have been widely used in sequence analysis and modeling. However, when processing high-dimensional data, RNNs typically require very large model sizes, thereby bringing a series of deployment challenges.…

Machine Learning · Computer Science 2020-05-12 Miao Yin , Siyu Liao , Xiao-Yang Liu , Xiaodong Wang , Bo Yuan

Channel modeling is a fundamental task for the design and evaluation of wireless technologies and networks, before actual prototyping, commercial product development and real deployments. The recent trends of current and future mobile…

Networking and Internet Architecture · Computer Science 2023-05-09 Matteo Pagin , Sandra Lagén , Biljana Bojović , Michele Polese , Michele Zorzi