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In this paper, we present a novel solution for optimal beamforming in a two-way relay (TWR) systems with perfect channel state information. The solution makes use of properties of quadratic surfaces to simplify the solution space of the…

最优化与控制 · 数学 2015-05-05 Chris Thron , Ahsan Aziz

Full-waveform inversion (FWI) is a powerful geophysical imaging technique that infers high-resolution subsurface physical parameters by solving a non-convex optimization problem. However, due to limitations in observation, e.g., limited…

数值分析 · 数学 2023-11-09 Xiong-Bin Yan , Keke Wu , Zhi-Qin John Xu , Zheng Ma

The differential transform method (DTM) is a relatively new technique that may be used to find a series solution to differential equations (both linear and nonlinear) through an iterative process. This brief manuscript is an initial effort…

流体动力学 · 物理学 2016-10-20 Aneet Dharmavaram Narendranath

We present the Wavelet-based Edge Multiscale Parareal (WEMP) Algorithm, recently proposed in [Li and Hu, {\it J. Comput. Phys.}, 2021], for efficiently solving subdiffusion equations with heterogeneous coefficients in long time. This…

数值分析 · 数学 2024-06-14 Guanglian Li

In this paper, we apply the Schwarz Waveform Relaxation (SWR) method to the one dimensional Schr{\"o}dinger equation with a general linear or a nonlinear potential. We propose a new algorithm for the Schr{\"o}dinger equation with time…

数值分析 · 数学 2015-03-10 C Besse , F Xing

Wireless Technology Recognition (WTR) and localization are essential in modern communication systems, enabling efficient spectrum management, seamless coexistence of diverse technologies, and accurate positioning in dynamic environments. In…

信号处理 · 电气工程与系统科学 2025-09-22 Mohammad Cheraghinia , Eli De Poorter , Jaron Fontaine , Merouane Debbah , Adnan Shahid

We propose a new class of method for solving nonlinear systems of equations, which, among other things,has four nice features: (i) it is inspired by the mathematical property of damped oscillators, (ii) it can be regarded as a simple…

Wavelet theory has been well studied in recent decades. Due to their appealing features such as sparse multiscale representation and fast algorithms, wavelets have enjoyed many tremendous successes in the areas of signal/image processing…

数值分析 · 数学 2019-09-27 Bin Han , Michelle Michelle , Yau Shu Wong

The solution of systems of non-autonomous linear ordinary differential equations is crucial in a variety of applications, such us nuclear magnetic resonance spectroscopy. A new method with spectral accuracy has been recently introduced in…

数值分析 · 数学 2022-10-14 Stefano Pozza , Niel Van Buggenhout

In this paper, we propose a novel joint coding-modulation technique based on serial concatenation of orthogonal linear transform, such as discrete Fourier transform (DFT) or Walsh-Hadamard transform (WHT), with memoryless nonlinearity. We…

信息论 · 计算机科学 2018-01-22 Sergey V. Zhidkov

In order to further exploit the potential of joint multi-antenna radar-communication (RadCom) system, we propose two transmission techniques respectively based on separated and shared antenna deployments. Both techniques are designed to…

信号处理 · 电气工程与系统科学 2021-01-29 Chengcheng Xu , Bruno Clerckx , Jianyun Zhang

An optimization procedure for multi-transmitter (MISO) wireless power transfer (WPT) systems based on tight semidefinite relaxation (SDR) is presented. This method ensures physical realizability of MISO WPT systems designed via convex…

最优化与控制 · 数学 2017-11-22 Hans-Dieter Lang , Costas D. Sarris

The connection of Taylor maps and polynomial neural networks (PNN) to solve ordinary differential equations (ODEs) numerically is considered. Having the system of ODEs, it is possible to calculate weights of PNN that simulates the dynamics…

神经与进化计算 · 计算机科学 2020-08-11 Andrei Ivanov , Anna Golovkina , Uwe Iben

The multiscale complexity of modern problems in computational science and engineering can prohibit the use of traditional numerical methods in multi-dimensional simulations. Therefore, novel algorithms are required in these situations to…

数值分析 · 数学 2021-06-15 Cale Harnish , Luke Dalessandro , Karel Matous , Daniel Livescu

A high order wavelet integral collocation method (WICM) is developed for general nonlinear boundary value problems in physics. This method is established based on Coiflet approximation of multiple integrals of interval bounded functions…

数值分析 · 数学 2017-04-26 Lei Zhang , Jizeng Wang , Xiaojing Liu , Youhe Zhou

Watermarking has emerged as a crucial method to distinguish AI-generated text from human-created text. Current watermarking approaches often lack formal optimality guarantees or address the scheme and detector design separately. In this…

密码学与安全 · 计算机科学 2025-10-28 Haiyun He , Yepeng Liu , Ziqiao Wang , Yongyi Mao , Yuheng Bu

The Wigner Transform (WT) has been extensively used in the formulation of phase-space models for a variety of wave propagation problems including high-frequency limits, nonlinear and random waves. It is well known that the WT features…

偏微分方程分析 · 数学 2015-05-19 Agissilaos G. Athanassoulis

We propose a way to favorably employ neural networks in the field of non-destructive testing using Full Waveform Inversion (FWI). The presented methodology discretizes the unknown material distribution in the domain with a neural network…

机器学习 · 计算机科学 2023-12-04 Stefan Kollmannsberger , Divya Singh , Leon Herrmann

Wireless sensor networks (WSNs) have attracted considerable attention in recent years and motivate a host of new challenges for distributed signal processing. The problem of distributed or decentralized estimation has often been considered…

机器学习 · 计算机科学 2009-11-11 Joel B. Predd , Sanjeev R. Kulkarni , H. Vincent Poor

The random feature method (RFM) has demonstrated great potential in bridging traditional numerical methods and machine learning techniques for solving partial differential equations (PDEs). It retains the advantages of mesh-free approaches…

数值分析 · 数学 2025-05-02 Mikhail Kuvakin , Zijian Mei , Jingrun Chen