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In this paper, we propose a new beamforming design to maximize energy efficiency (EE) for multiple input single output interfering broadcast channels (IFBC). Under this model, the EE problem is non-convex in general due to the coupled…

Information Theory · Computer Science 2015-08-28 Sang-Rim Lee , Jaehoon Jung , Haewook Park , Inkyu Lee

A continuous aperture array (CAPA)-based multi-group multicast communication system is investigated. An integral-based CAPA multi-group multicast beamforming design is formulated for the maximization of the system energy efficiency (EE),…

Information Theory · Computer Science 2026-03-10 Mengyu Qian , Xidong Mu , Li You , Michail Matthaiou

We propose a new homotopy-based conditional gradient method for solving convex optimization problems with a large number of simple conic constraints. Instances of this template naturally appear in semidefinite programming problems arising…

Optimization and Control · Mathematics 2025-01-31 Pavel Dvurechensky , Gabriele Iommazzo , Shimrit Shtern , Mathias Staudigl

The globally optimal robust adaptive beamforming (RAB) solution is studied for worst-case signal-to-interference-plus-noise ratio (SINR) maximization (the maximin SINR problem) under convex and closed uncertainty sets for the desired signal…

Signal Processing · Electrical Eng. & Systems 2026-04-17 Yongwei Huang , Zhenhui Huang , Sergiy A. Vorobyov , Zhi-Quan Luo

In this paper, we propose a multi-input multi-output transmit beamforming 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 2024-04-02 Jiageng Wu , Zhiguo Wang , Ya-Feng Liu , Fan Liu

Composite optimization problems involve minimizing the composition of a smooth map with a convex function. Such objectives arise in numerous data science and signal processing applications, including phase retrieval, blind deconvolution,…

Optimization and Control · Mathematics 2025-10-06 Mateo Díaz , Liwei Jiang , Abdel Ghani Labassi

In this work, we consider a class of convex optimization problems in a real Hilbert space that can be solved by performing a single projection, i.e., by projecting an infeasible point onto the feasible set. Our results improve those…

Optimization and Control · Mathematics 2024-04-10 Hoa T. Bui , Regina S. Burachik , Evgeni A. Nurminski , Matthew K. Tam

This paper investigates the transmit beamforming design for multiple-input multiple-output systems to support both multi-target localization and multi-user communications. To enhance the target localization performance, we derive the…

Signal Processing · Electrical Eng. & Systems 2025-01-14 Bo Tang , Da Li , Wenjun Wu , Astha Saini , Prabhu Babu , Petre Stoica

In this paper, we consider the (global and sum) energy efficiency optimization problem in downlink multi-input multi-output multi-cell systems, where all users suffer from multi-user interference. This is a challenging problem due to…

Optimization and Control · Mathematics 2019-09-04 Yang Yang , Marius Pesavento , Symeon Chatzinotas , Björn Ottersten

A new approach to solving a class of rankconstrained semi-definite programming (SDP) problems, which appear in many signal processing applications such as transmit beamspace design in multiple-input multiple-output (MIMO) radar, downlink…

Information Theory · Computer Science 2016-10-10 Matthew W. Morency , Sergiy A. Vorobyov

We investigate an alternative solution method to the joint signal-beamformer optimization problem considered by Setlur and Rangaswamy[1]. First, we directly demonstrate that the problem, which minimizes the received noise, interference, and…

Systems and Control · Computer Science 2018-02-14 Sean M. O'Rourke , Pawan Setlur , Muralidhar Rangaswamy , A. Lee Swindlehurst

This letter studies joint transmit beamforming and antenna selection at a secondary base station (BS) with multiple primary users (PUs) in an underlay cognitive radio multiple-input single-output broadcast channel. The objective is to…

Information Theory · Computer Science 2017-03-02 Van-Dinh Nguyen , Chuyen T. Nguyen , Hieu V. Nguyen , Oh-Soon Shin

This paper considers downlink multi-group multicasting via beamforming facilitated by a reconfigurable intelligent surface (RIS). We develop a fast and scalable algorithm for the joint base station (BS) and RIS beamforming optimization to…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Mohammad Ebrahimi , Min Dong , Mitra Hekmat

The performance of optimization methods is often tied to the spectrum of the objective Hessian. Yet, conventional assumptions, such as smoothness, do often not enable us to make finely-grained convergence statements -- particularly not for…

Optimization and Control · Mathematics 2024-02-08 Nikita Doikov , Sebastian U. Stich , Martin Jaggi

User scheduling and beamforming design are two crucial yet coupled topics for wireless communication systems. They are usually optimized separately with conventional optimization methods. In this paper, a novel cross-layer optimization…

Information Theory · Computer Science 2022-03-03 Shiwen He , Zhenyu An , Jianyue Zhu , Min Zhang , Yongming Huang , Yaoxue Zhang

Graph-based variational methods have recently shown to be highly competitive for various classification problems of high-dimensional data, but are inherently difficult to handle from an optimization perspective. This paper proposes a convex…

Optimization and Control · Mathematics 2017-02-17 Egil Bae , Ekaterina Merkurjev

Under investigation is the problem of finding the best approximation of a function in a Hilbert space subject to convex constraints and prescribed nonlinear transformations. We show that in many instances these prescriptions can be…

Functional Analysis · Mathematics 2021-06-17 Patrick L. Combettes , Zev C. Woodstock

We consider a network of agents that locate themselves in an environment through sensor measurements and aim to transmit a message signal to a base station via collaborative beamforming. The agents' sensor measurements result in…

Signal Processing · Electrical Eng. & Systems 2021-03-19 Erfaun Noorani , Yagiz Savas , Alec Koppel , John Baras , Ufuk Topcu , Brian M. Sadler

We consider optimization problems with polynomial inequality constraints in non-commuting variables. These non-commuting variables are viewed as bounded operators on a Hilbert space whose dimension is not fixed and the associated polynomial…

Optimization and Control · Mathematics 2010-05-18 Stefano Pironio , Miguel Navascues , Antonio Acin

We study the secrecy rate maximization problem in a millimeter wave (mmWave) network, consisting of a base station (BS), multiple intelligent reflecting surfaces (IRSs) (or reconfigurable intelligent surfaces (RISs)), multiple users, and a…

Information Theory · Computer Science 2025-10-02 Anahid Rafieifar , Hosein Ahmadinejad , S. Mohammad Razavizadeh , Jiguang He
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