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Recently, novel quaternion-valued wavelets on the plane were constructed using an optimisation approach. These wavelets are compactly supported, smooth, orthonormal, non-separable and truly quaternionic. However, they have not been tested…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Neil D. Dizon , Jeffrey A. Hogan

This paper proposes a novel low-complexity three-dimensional (3D) localization algorithm for wireless sensor networks, termed quanternion-domain super multi-dimensional scaling (QD-SMDS). The algorithm is based on a reformulation of the…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Alessio Lukaj , Keigo Masuoka , Takumi Takahashi , Giuseppe Thadeu Freitas de Abreu , Hideki Ochiai

Consider a robust multiple-input single-output downlink beamforming optimization problem in a frequency division duplexing system. The base station (BS) sends training signals to the users, and every user estimates the channel coefficients,…

Signal Processing · Electrical Eng. & Systems 2020-12-15 Xianming Li , Yongwei Huang , Wing-Kin Ma

Neural networks in the real domain have been studied for a long time and achieved promising results in many vision tasks for recent years. However, the extensions of the neural network models in other number fields and their potential…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Xuanyu Zhu , Yi Xu , Hongteng Xu , Changjian Chen

Reconfigurable intelligent surface (RIS) is a promising technology for future wireless communications due to its capability of optimizing the propagation environments. Nevertheless, in literature, there are few prototypes serving multiple…

Signal Processing · Electrical Eng. & Systems 2024-05-14 Zhibo Zhou , Haifan Yin , Li Tan , Ruikun Zhang , Kai Wang , Yingzhuang Liu

Adaptive modulation and coding (AMC) is widely employed in modern wireless communication systems to improve the transmission efficiency by adjusting the transmission rate according to the channel conditions. Thus, AMC can provide very…

Signal Processing · Electrical Eng. & Systems 2017-12-21 Zhe Yang , Lin Cai , Aaron Gulliver , Liang He , Jianping Pan

To address the non-negativity dropout problem of quaternion models, a novel quasi non-negative quaternion matrix factorization (QNQMF) model is presented for color image processing. To implement QNQMF, the quaternion projected gradient…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Yifen Ke , Changfeng Ma , Zhigang Jia , Yajun Xie , Riwei Liao

This paper considers a version of the Wiener filtering problem for equalization of passive quantum linear quantum systems. We demonstrate that taking into consideration the quantum nature of the signals involved leads to features typically…

Systems and Control · Electrical Eng. & Systems 2024-12-20 V. Ugrinovskii , M. R. James

Accurate quantum channel parameter estimation is essential for effective information reconciliation in continuous-variable quantum key distribution (CV-QKD). However, conventional maximum likelihood (ML) estimators rely on a large amount of…

Quantum Physics · Physics 2025-12-23 Jisheng Dai , Xue-Qin Jiang , Peng Huang , Tao Wang , Guihua Zeng

We propose a novel low-complexity three-dimensional (3D) localization algorithm for wireless sensor networks, termed quaternion-domain super multidimensional scaling (QD-SMDS). This algorithm reformulates the conventional SMDS, which was…

Signal Processing · Electrical Eng. & Systems 2025-04-29 Keigo Masuoka , Takumi Takahashi , Giuseppe Thadeu Freitas de Abreu , Hideki Ochiai

Fractional programming (FP) arises in various communications and signal processing problems because several key quantities in the field are fractionally structured, e.g., the Cram\'{e}r-Rao bound, the Fisher information, and the…

Information Theory · Computer Science 2024-05-29 Kaiming Shen , Ziping Zhao , Yannan Chen , Zepeng Zhang , Hei Victor Cheng

Neural network generalizability is becoming a broad research field due to the increasing availability of datasets from different sources and for various tasks. This issue is even wider when processing medical data, where a lack of…

Image and Video Processing · Electrical Eng. & Systems 2025-05-22 Luigi Sigillo , Eleonora Grassucci , Aurelio Uncini , Danilo Comminiello

The tremendous bandwidth available in the millimeter wave (mmW) frequencies between 30 and 300 GHz have made these bands an attractive candidate for next-generation cellular systems. However, reliable communication at these frequencies…

Information Theory · Computer Science 2014-10-20 Parisa A. Eliasi , Sundeep Rangan , Theodore S. Rappaport

In this letter, the channel estimation problem is studied for wireless communication systems assisted by large intelligent surface. Due to features of assistant channel, channel estimation (CE) problem for the investigated system is shown…

Information Theory · Computer Science 2019-11-07 Junliang Lin , Gongpu Wang , Rongfei Fan , Theodoros A. Tsiftsis , Chintha Tellambura

Many phenomena are described by bivariate signals or bidimensional vectors in applications ranging from radar to EEG, optics and oceanography. The time-frequency analysis of bivariate signals is usually carried out by analyzing two separate…

Methodology · Statistics 2016-09-09 Julien Flamant , Nicolas Le Bihan , Pierre Chainais

The wireless channel is fundamental to communication, encompassing numerous tasks collectively referred to as channel-associated tasks. These tasks can leverage joint learning based on channel characteristics to share representations and…

Signal Processing · Electrical Eng. & Systems 2025-02-10 Xuanyu Liu , Shijian Gao , Boxun Liu , Xiang Cheng , Liuqing Yang

The recently introduced atomic norm minimization (ANM) framework for parameter estimation is a promising candidate towards low overhead channel estimation in wireless communications. However, previous works on ANM-based channel estimation…

Information Theory · Computer Science 2018-09-05 Stelios Stefanatos , Mahdi Barzegar Khalilsarai , Gerhard Wunder

Quaternion wavelets are redundant wavelet transforms generalizing complex-valued non-decimated wavelet transforms. In this paper we propose a matrix-formulation for non-decimated quaternion wavelet transforms and define spectral tools for…

Applications · Statistics 2019-03-05 Taewoon Kong , Brani Vidakovic

Large-scale multiple-input multiple-output (MIMO) is an emerging wireless technology that deploys thousands of transmit antennas at the base-station to boost spectral efficiency. The classic weighted minimum mean-square-error (WMMSE)…

Information Theory · Computer Science 2025-03-17 Yi Feng , Kaiming Shen

Polarization is a unique characteristic of transverse wave and is represented by Stokes parameters. Analysis of polarization states can reveal valuable information about the sources. In this paper, we propose a separable low-rank quaternion…

Computer Vision and Pattern Recognition · Computer Science 2022-07-29 Junjun Pan , Michael K. Ng