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In recent years, hyper-complex deep networks (such as complex-valued and quaternion-valued neural networks) have received a renewed interest in the literature. They find applications in multiple fields, ranging from image reconstruction to…

Machine Learning · Computer Science 2020-07-14 Riccardo Vecchi , Simone Scardapane , Danilo Comminiello , Aurelio Uncini

In wireless communication networks, it is difficult to solve many NP-hard problems owing to computational complexity and high cost. Recently, quantum annealing (QA) based on quantum physics was introduced as a key enabler for solving…

Large-scale multiple-antenna systems have been identified as a promising technology for the next generation of wireless systems. However, by scaling up the number of receive antennas the energy consumption will also increase. One possible…

Information Theory · Computer Science 2019-10-08 Z. Shao , L. Landau , R. C. de Lamare

The Quaternion Fourier transform (QFT) is one of the key tools in studying color image processing. Indeed, a deep understanding of the QFT has created the color images to be transformed as whole, rather than as color separated component. In…

Classical Analysis and ODEs · Mathematics 2016-07-19 Xiao Xiao Hu , Kit Ian Kou

In this paper, we address the problem of robust adaptive beamforming of signals received by a linear array. The challenge associated with the beamforming problem is twofold. Firstly, the process requires the inversion of the usually…

Information Theory · Computer Science 2016-11-22 Mohamed Suliman , Tarig Ballal , Tareq Y. Al-Naffouri

From their inception, quaternions and their division algebra have proven to be advantageous in modelling rotation/orientation in three-dimensional spaces and have seen use from the initial formulation of electromagnetic filed theory through…

Joint communications and sensing (JCAS) is expected to be a crucial technology for future wireless systems. This paper investigates beamforming design for a multi-user multi-target JCAS system to ensure fairness and balance between…

Signal Processing · Electrical Eng. & Systems 2024-11-27 Mengyuan Ma , Tianyu Fang , Nir Shlezinger , A. L. Swindlehurst , Markku Juntti , Nhan Nguyen

In this paper, we aim at maximizing the weighted sum-rate (WSR) of rate splitting multiple access (RSMA) in multi-user multi-antenna transmission networks through the joint optimization of rate allocation and beamforming. Unlike…

Information Theory · Computer Science 2023-12-27 Tianyu Fang , Yijie Mao

We propose a novel system identification technique, based on a least-mean square algorithm, allowing for the estimation of a linear channel by using an unknown-response measurement channel. The key of the technique is a memoryless nonlinear…

Signal Processing · Electrical Eng. & Systems 2021-10-18 Juan I. Bonetti , James Kunst , Damián A. Morero , Mario R. Hueda

In this article, we introduce the notion of Quaternion Boostlet Transform (QBT), a hypercomplex framework designed to unify the analysis of multi-component wavefields by merging the algebraic richness of quaternions with the relativistic,…

Functional Analysis · Mathematics 2026-05-01 Owais Ahmad , Jasifa Fayaz

We develop an efficient and near-optimal solution for beamforming in multi-user multiple-input-multiple-output single-hop wireless ad-hoc interference networks. Inspired by the weighted minimum mean squared error (WMMSE) method, a classical…

Signal Processing · Electrical Eng. & Systems 2023-04-04 Arindam Chowdhury , Gunjan Verma , Ananthram Swami , Santiago Segarra

Despite quantum networking concepts, designs, and hardware becoming increasingly mature, there is no consensus on the optimal wavelength for free-space systems. We present an in-depth analysis of a daytime free-space quantum channel as a…

The important problem of weighted sum rate maximization (WSRM) in a multicellular environment is intrinsically sensitive to channel estimation errors. In this paper, we study ways to maximize the weighted sum rate in a linearly precoded…

Information Theory · Computer Science 2013-10-21 Muhammad Fainan Hanif , Le-Nam Tran , Antti Tölli , Markku Juntti , Savo Glisic

The tensor train rank (TT-rank) has achieved promising results in tensor completion due to its ability to capture the global low-rankness of higher-order (>3) tensors. On the other hand, recently, quaternions have proven to be a very…

Image and Video Processing · Electrical Eng. & Systems 2022-09-08 Jifei Miao , Kit Ian Kou , Liqiao Yang , Dong Cheng

This paper presents adaptive bidirectional minimum mean-square error (MMSE) parameter estimation algorithms for fast-fading channels. The time correlation between successive channel gains is exploited to improve the estimation and tracking…

Information Theory · Computer Science 2013-06-12 Patrick Clarke , Rodrigo C. de Lamare

This letter investigates a channel assignment problem in uplink wireless communication systems. Our goal is to maximize the sum rate of all users subject to integer channel assignment constraints. A convex optimization based algorithm is…

Signal Processing · Electrical Eng. & Systems 2020-01-14 Guangyu Jia , Zhaohui Yang , Hak-Keung Lam , Jianfeng Shi , Mohammad Shikh-Bahaei

In recent years, several models using Quaternion-Valued Convolutional Neural Networks (QCNNs) for different problems have been proposed. Although the definition of the quaternion convolution layer is the same, there are different…

Machine Learning · Computer Science 2024-09-04 Gerardo Altamirano-Gómez , Carlos Gershenson

Non-orthogonal multiple access (NOMA) and beamforming are well-established techniques for enabling massive connectivity in future wireless networks. However, many optimal beamforming solutions rely on highly complex iterative algorithms and…

Signal Processing · Electrical Eng. & Systems 2026-02-24 Chentong Li , Saeed Mohammadzadeh , Kanapathippillai Cumanan , Octavia A. Dobre

The l1-norm minimization problem plays an important role in the compressed sensing (CS) theory. We present in this letter an algorithm for solving the problem of l1-norm minimization for quaternion signals by converting it to second-order…

Numerical Analysis · Computer Science 2012-02-27 Jiasong Wu , Xu Zhang , Xiaoqing Wang , Lotfi Senhadji , Huazhong Shu

Beamforming is one of the key techniques in millimeter wave (mmWave) multi-input multi-output (MIMO) communications. Designing appropriate beamforming not only improves the quality and strength of the received signal, but also can help…

Signal Processing · Electrical Eng. & Systems 2020-08-14 Xueyuan Wang , M. Cenk Gursoy
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