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A finite element approach for approximating the solution of a mathematical model for the response of a penetrable, bounded object (obstacle) to the excitation by an external electromagnetic field is presented and investigated. The model…

Numerical Analysis · Mathematics 2026-04-16 Lutz Angermann

A wideband Gaussian Noise Model of the nonlinear noise power spectral density is developed for a single semiconductor optical amplifier as described by the Agrawal model. A simple, interpretable closed-form expression is obtained for the…

Optics · Physics 2026-03-16 Hartmut Hafermann

Dual-functional radar-communication (DFRC) is a promising technology where radar and communication functions operate on the same spectrum and hardware. In this paper, we propose an algorithm for designing constant modulus waveforms for DFRC…

Signal Processing · Electrical Eng. & Systems 2024-04-09 Byunghyun Lee , Anindya Bijoy Das , David J. Love , Christopher G. Brinton , James V. Krogmeier

We consider the mathematical analysis and numerical approximation of a system of nonlinear partial differential equations that arises in models that have relevance to steady isochoric flows of colloidal suspensions. The symmetric velocity…

Numerical Analysis · Mathematics 2021-08-09 Andrea Bonito , Vivette Girault , Diane Guignard , Kumbakonam R. Rajagopal , Endre Süli

The integration of quantum communication functions often requires dedicated opto-electronic components that do not bode well with the technology roadmaps of telecom systems. We investigate the capability of commercial coherent transceiver…

We derive convenient uniform concentration bounds and finite sample multivariate normal approximation results for quadratic forms, then describe some applications involving variance components estimation in linear random-effects models.…

Statistics Theory · Mathematics 2015-09-16 Lee H. Dicker , Murat A. Erdogdu

This study focuses on (traditional and unsourced) multiple-access communication over a single transmit and multiple ($M$) receive antennas. We assume full or partial channel state information (CSI) at the receiver. It is known that to fully…

Information Theory · Computer Science 2023-07-04 Alexander Fengler , Alejandro Lancho , Yury Polyanskiy

Hybrid digital/analog architecture and low-resolution analog-to-digital/digital-to-analog converters (ADCs /DACs) are two low-cost implementations for large-scale millimeter wave (mmWave) systems. In this paper, we investigate the problem…

Signal Processing · Electrical Eng. & Systems 2023-03-07 Ziyang Cheng , Linlong Wu , Bowen Wang , Julan Xie , Huiyong Li

A high-frequency recovered fully discrete low-regularity integrator is constructed to approximate rough and possibly discontinuous solutions of the semilinear wave equation. The proposed method, with high-frequency recovery techniques, can…

Numerical Analysis · Mathematics 2024-10-18 Jiachuan Cao , Buyang Li , Yanping Lin , Fangyan Yao

The finite element method is one of the widely employed numerical techniques in electrical engineering for the study of electric and magnetic fields. When applied to the moving conductor problems, the finite element method is known to have…

Numerical Analysis · Mathematics 2022-09-01 Sethupathy Subramanian , Sujata Bhowmick

This note studies the robust output feedback stabilization problem of multi-input multi-output invertible nonlinear systems with output-dependent multipliers. An "ideal" state feedback is first designed under certain mild assumptions. Then,…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Lei Wang , Christopher M. Kellett

In this paper, we propose a multi-input multi-output beamforming transmit optimization model for joint radar sensing and multi-user communications, where the design of the beamformers is formulated as an optimization problem whose objective…

Optimization and Control · Mathematics 2023-12-27 Zhiguo Wang , Jiageng Wu , Ya-Feng Liu , Fan Liu

This paper presents a method for jointly designing the transmitter-receiver pair in a block-by-block communication system that employs (intra-block) decision feedback detection. We provide closed-form expressions for transmitter-receiver…

Information Theory · Computer Science 2009-11-11 Fang Xu , Tim Davidson , Jian-Kang Zhang , K. Max Wong

In this letter, we consider the multiple-input multiple-output (MIMO) radar waveform design in the presence of signal-dependent clutters and additive white Gaussian noise. By imposing the constant modulus constraint (CMC) and waveform…

Signal Processing · Electrical Eng. & Systems 2018-05-11 Chenglin Ren , Fan liu , Longfei Zhou , Jianming Zhou , Wu Luo , Shengzhi Yang

Basing on recently developed convex programming framework in the paper [arXiv:2204.10626], we provide a proof for a long-standing conjecture on optimality of Gaussian encondings for the ultimate communication rate of generalized heterodyne…

Quantum Physics · Physics 2023-07-25 A. S. Holevo , S. N. Filippov

In this paper, we consider the joint design of the transceivers for a multiple access Multiple Input and Multiple Output (MIMO) system having Inter-Symbol Interference (ISI) channels. The system we consider is equipped with the Minimum Mean…

Information Theory · Computer Science 2008-05-19 Wenwen Jiang , Jian-Kang Zhang , Kon Max Wong

We introduce an efficient method to reconstruct the Wigner function of many-mode continuous variable systems. It is based on convex optimization with semidefinite programs, and also includes a version of the maximum entropy principle, in…

Quantum Physics · Physics 2020-02-28 Ludmila A. S. Botelho , Reinaldo O. Vianna

Integrated Sensing and Communication (ISAC) systems face stringent hardware constraints, particularly regarding the high Peak-to-Average Power Ratio (PAPR) of standard OFDM, which necessitates power amplifier (PA) back-off and reduces…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Amir Bouziane , Huseyin Arslan

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

We generalize normal mode expansion of Green's tensor $\bar{\bar{G}}(\bf{r},\bf{r}')$ to lossy resonators in open systems, resolving a longstanding open challenge. We obtain a simple yet robust formulation, whereby radiation of energy to…

Optics · Physics 2019-04-10 Parry Y. Chen , David J. Bergman , Yonatan Sivan