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It is well-known that a complex circulant matrix can be diagonalized by a discrete Fourier matrix with imaginary unit $\mathtt{i}$. The main aim of this paper is to demonstrate that a quaternion circulant matrix cannot be diagonalized by a…

Numerical Analysis · Mathematics 2024-02-09 Junjun Pan , Michael K. Ng

We propose a novel quantum approach to signal processing, including a quantum algorithm for low-pass and high-pass filtering, based on the sequency-ordered Walsh-Hadamard transform. We present quantum circuits for performing the…

Quantum Physics · Physics 2024-02-19 Alok Shukla , Prakash Vedula

Quaternion neural networks are parameter-efficient and model multidimensional dependencies by representing four related features as a single entity. However, existing quaternion self-attention computes component-wise scores and applies…

Machine Learning · Computer Science 2026-05-26 Shogo Yamauchi , Tohru Nitta , Hideaki Tamori

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…

This paper proposes a novel distributed reduced--rank scheme and an adaptive algorithm for distributed estimation in wireless sensor networks. The proposed distributed scheme is based on a transformation that performs dimensionality…

Information Theory · Computer Science 2014-11-06 S. Xu , R. C. de Lamare , H. V. Poor

We design iterative receiver schemes for a generic wireless communication system by treating channel estimation and information decoding as an inference problem in graphical models. We introduce a recently proposed inference framework that…

We introduce a new method for robust beamforming, where the goal is to estimate a signal from array samples when there is uncertainty in the angle of arrival. Our method offers state-of-the-art performance on narrowband signals and is…

Signal Processing · Electrical Eng. & Systems 2024-06-25 Nakul Singh , Coleman DeLude , Mark A. Davenport , Justin Romberg

Fractional programming (FP) plays a crucial role in wireless network design because many relevant problems involve maximizing or minimizing ratio terms. Notice that the maximization case and the minimization case of FP cannot be converted…

Information Theory · Computer Science 2024-01-10 Yannan Chen , Licheng Zhao , Kaiming Shen

Recent developments in quaternion-valued widely linear processing have established that the exploitation of complete second-order statistics requires consideration of both the standard covariance and the three complementary covariance…

Numerical Analysis · Computer Science 2018-01-30 Min Xiang , Shirin Enshaeifar , Alexander E. Stott , Clive Cheong Took , Yili Xia , Sithan Kanna , Danilo P. Mandic

In the next generation wireless networks, lowlatency communication is critical to support emerging diversified applications, e.g., Tactile Internet and Virtual Reality. In this paper, a novel blind demixing approach is developed to reduce…

Information Theory · Computer Science 2018-12-07 Jialin Dong , Kai Yang , Yuanming Shi

Understanding wireless channels is crucial for the design of wireless systems. For mobile communication, sounders and antenna arrays with short measurement times are required to simultaneously capture the dynamic and spatial channel…

Signal Processing · Electrical Eng. & Systems 2025-09-26 Juan Sanchez , Xuesong Cai , Ali Al-Ameri , Fredrik Tufvesson

Continuous phase modulation (CPM) has extensive applications in wireless communications due to its high spectral and power efficiency. However, its nonlinear characteristics pose significant challenges for detection in frequency selective…

Information Theory · Computer Science 2024-08-15 Zilong Liu , Yi Song , Qinghua Guo , Peng Sun , Kexian Gong , Zhongyong Wang

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

Problems related to wavelength assignment (WA) in optical communications networks involve allocating transmission wavelengths for known transmission paths between nodes that minimize a certain objective function, for example, the total…

The increase in the number of base station (BS) antennas calls for efficient solutions to deal with the increased interconnection bandwidth and processing complexity of traditional centralized approaches. Decentralized approaches are thus…

Signal Processing · Electrical Eng. & Systems 2025-04-17 Juan Vidal Alegría , Ove Edfors

Water-filling solutions play an important role in the designs for wireless communications, e.g., transmit covariance matrix design. A traditional physical understanding is to use the analogy of pouring water over a pool with fluctuating…

Information Theory · Computer Science 2020-01-16 Chengwen Xing , Yindi Jing , Shuai Wang , Shaodan Ma , H. Vincent Poor

Recognising the limitations of various existing channel-estimation schemes for energy beamforming, we propose an energy-preserving indirect feedback-based approach for finding the optimal beamforming vector. Upon elaborating on the key…

Signal Processing · Electrical Eng. & Systems 2023-07-25 Siddhartha Sarma , Rahul Shrestha , Rohit B. Chaurasiya

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

In recent years, quaternion matrix completion (QMC) based on low-rank regularization has been gradually used in image de-noising and de-blurring.Unlike low-rank matrix completion (LRMC) which handles RGB images by recovering each color…

Image and Video Processing · Electrical Eng. & Systems 2021-01-08 Liqiao Yang , Kit Ian Kou , Jifei Miao

We study the design of receivers in extra-large scale MIMO (XL-MIMO) systems, i.e. systems in which the base station is equipped with an antenna array of extremely large dimensions. While XL-MIMO can significantly increase the system's…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Abolfazl Amiri , Sajad Rezaie , Carles Navarro Manchon , Elisabeth de Carvalho