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The field of neural networks has seen significant advances in recent years with the development of deep and convolutional neural networks. Although many of the current works address real-valued models, recent studies reveal that neural…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Marco Aurélio Granero , Cristhian Xavier Hernández , Marcos Eduardo Valle

Future services demand high data rate and quality. Thus, it is necessary to define new and robust algorithms to equalize channels and reduce noise in communications. Nowadays, new equalization algorithms are being developed to optimize the…

Information Theory · Computer Science 2012-08-13 Sanaz Moshirian , Soheil Ghadami , Mohammad Havaei

The main goal of this paper is to propose a new quaternion total variation regularization model for solving linear ill-posed quaternion inverse problems, which arise from three-dimensional signal filtering or color image processing. The…

Numerical Analysis · Mathematics 2024-08-07 Xuan Liu , Zhigang Jia , Xiaoqing Jin

Downlink beamforming is a key technology for cellular networks. However, computing the transmit beamformer that maximizes the weighted sum rate subject to a power constraint is an NP-hard problem. As a result, iterative algorithms that…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Lissy Pellaco , Mats Bengtsson , Joakim Jaldén

Inspired by the fact that the matrix formulated by nonlocal similar patches in a natural image is of low rank, the rank approximation issue have been extensively investigated over the past decades, among which weighted nuclear norm…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Qing-Hua Zhang , Liang-Tian He , Yi-Lun Wang , Liang-Jian Deng , Jun Liu

Wireless communication systems generally endure severe fading and interference caused by the time-dispersive channel. Major transmission distortion is produced by channel multipath propagation and overlap of subsequent symbols. To…

Signal Processing · Electrical Eng. & Systems 2023-12-12 Rayyan Abdalla

A simple feedback control algorithm is presented for distributed beamforming in a wireless network. A network of wireless sensors that seek to cooperatively transmit a common message signal to a Base Station (BS) is considered. In this…

Information Theory · Computer Science 2007-07-16 R. Mudumbai , J. Hespanha , U. Madhow , G. Barriac

This work proposes a mixed learning-based and optimization-based approach to the weighted-sum-rates beamforming problem in a multiple-input multiple-output (MIMO) wireless network. The conventional methods, i.e., the fractional programming…

Information Theory · Computer Science 2026-01-07 Jianhang Zhu , Tsung-Hui Chang , Liyao Xiang , Kaiming Shen

Downlink beamforming is an essential technology for wireless cellular networks; however, the design of beamforming vectors that maximize the weighted sum rate (WSR) is an NP-hard problem and iterative algorithms are typically applied to…

Signal Processing · Electrical Eng. & Systems 2022-06-28 Jingyuan Xia , Gunduz Deniz

Accurate channel estimation is crucial for the improvement of signal processing performance in wireless communications. However, traditional model-based methods frequently experience difficulties in dynamic environments. Similarly,…

Signal Processing · Electrical Eng. & Systems 2025-07-15 Thien Hieu Hoang , Tri Nhu Do , Georges Kaddoum

The main aim of this paper is to study quaternion phase retrieval (QPR), i.e., the recovery of quaternion signal from the magnitude of quaternion linear measurements. We show that all $d$-dimensional quaternion signals can be reconstructed…

Signal Processing · Electrical Eng. & Systems 2023-07-25 Junren Chen , Michael K. Ng

Convex optimization methods have been extensively used in the fields of communications and signal processing. However, the theory of quaternion optimization is currently not as fully developed and systematic as that of complex and real…

Optimization and Control · Mathematics 2023-12-27 Shuning Sun , Qiankun Diao , Dongpo Xu , Pauline Bourigault , Danilo P. Mandic

The Wahba problem, also known as rotation search, seeks to find the best rotation to align two sets of vector observations given putative correspondences, and is a fundamental routine in many computer vision and robotics applications. This…

Optimization and Control · Mathematics 2019-09-24 Heng Yang , Luca Carlone

This paper addresses the color image completion problem in accordance with low-rank quatenrion matrix optimization that is characterized by sparse regularization in a transformed domain. This research was inspired by an appreciation of the…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Liqiao Yang , Yang Liu , Kit Ian Kou

This work proposes a novel and efficient quadstream BiLSTM-Attention network, abbreviated as QSLA network, for robust automatic modulation classification (AMC) of wireless signals. The proposed model exploits multiple representations of the…

Machine Learning · Computer Science 2024-08-15 Rohit Udaiwal , Nayan Baishya , Yash Gupta , B. R. Manoj

Training sequences are designed to probe wireless channels in order to obtain channel state information for block-fading channels. Optimal training sounds the channel using orthogonal beamforming vectors to find an estimate that optimizes…

Information Theory · Computer Science 2014-04-04 Andrew J. Duly , Taejoon Kim , David J. Love , James V. Krogmeier

Machine learning algorithms have recently been considered for many tasks in the field of wireless communications. Previously, we have proposed the use of a deep fully convolutional neural network (CNN) for receiver processing and shown it…

Signal Processing · Electrical Eng. & Systems 2022-07-13 Janne M. J. Huttunen , Dani Korpi , Mikko Honkala

In this paper, the beam squint problem, which causes significant variations in radiated beam gain over frequencies in millimeter wave communication system, is investigated. A constant modulus beamformer design, which is formulated to…

Information Theory · Computer Science 2018-08-31 Ximei Liu , Deli Qiao

This article considers the problem of designing adaption and optimisation techniques for training quantum learning machines. To this end, the division algebra of quaternions is used to derive an effective model for representing computation…

Quantum Physics · Physics 2025-05-09 Sayed Pouria Talebi , Clive Cheong Took , Danilo P. Mandic

Randomized algorithms for low-rank approximation of quaternion matrices have gained increasing attention in recent years. However, existing methods overlook pass efficiency, the ability to limit the number of passes over the input…

Numerical Analysis · Mathematics 2026-03-25 Salman Ahmadi-Asl , Malihe Nobakht Kooshkghazi , Valentin Leplat