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Cloud radio access network (C-RAN) with centralized baseband processing is envisioned as a promising candidate for the next-generation wireless communication network. However, the joint processing gain of C-RAN is fundamentally constrained…

Information Theory · Computer Science 2015-09-23 Liu Liang , Zhang Rui

We examine the duality theory for a class of non-convex functions obtained by composing a convex function with a continuous one. Using Fenchel duality, we derive a dual problem that satisfies weak duality under general assumptions. To…

Optimization and Control · Mathematics 2025-10-08 Vittorio Latorre

This paper presents the Lagrangian duality theory for mixed-integer semidefinite programming (MISDP). We derive the Lagrangian dual problem and prove that the resulting Lagrangian dual bound dominates the bound obtained from the continuous…

Optimization and Control · Mathematics 2025-07-10 Frank de Meijer , Renata Sotirov

Extending network lifetime of battery-operated devices is a key design issue that allows uninterrupted information exchange among distributive nodes in wireless sensor networks. Collaborative beamforming (CB) and cooperative transmission…

Information Theory · Computer Science 2007-07-13 Zhu Han , H. Vincent Poor

In this paper, we investigate the optimization problem of joint source and relay beamforming matrices for a twoway amplify-and-forward (AF) multi-input multi-output (MIMO) relay system. The system consisting of two source nodes and two…

Information Theory · Computer Science 2015-02-18 Wei Duan , Wei Song , Moon Ho Lee

In this paper, we consider an intelligent reflecting surface (IRS)-aided cell-free massive multiple-input multiple-output system, where the beamforming at access points and the phase shifts at IRSs are jointly optimized to maximize energy…

Signal Processing · Electrical Eng. & Systems 2022-12-27 Si-Nian Jin , Dian-Wu Yue , Yi-Ling Chen , Qing Hu

This paper addresses coordinated downlink beamforming optimization in multicell time-division duplex (TDD) systems where a small number of parameters are exchanged between cells but with no data sharing. With the goal to reach the point on…

Information Theory · Computer Science 2016-11-17 Yongming Huang , Gan Zheng , Mats Bengtsson , Kai-Kit Wong , Luxi Yang , Bjorn Ottersten

Bit error rate (BER) minimization and SNR-gap maximization, two robustness optimization problems, are solved, under average power and bit-rate constraints, according to the waterfilling policy. Under peak-power constraint the solutions…

Information Theory · Computer Science 2016-11-18 Jean-Yves Baudais , Fahad Syed Muhammad , Jean-François Hélard

We study spectrum sharing between two dense low-earth orbit (LEO) satellite constellations, an incumbent primary system and a secondary system that must respect interference protection constraints on the primary system. In particular, we…

Signal Processing · Electrical Eng. & Systems 2025-03-20 Eunsun Kim , Ian P. Roberts , Taekyun Lee , Jeffrey G. Andrews

Multi-cell cooperative processing with limited backhaul traffic is studied for cellular uplinks. Aiming at reduced backhaul overhead, a sparsity-regularized multi-cell receive-filter design problem is formulated. Both unstructured…

Information Theory · Computer Science 2015-10-16 Swayambhoo Jain , Seung-Jun Kim , Georgios B. Giannakis

A novel augmented Lagrangian method for solving non-convex programs with nonlinear cost and constraint couplings in a distributed framework is presented. The proposed decomposition algorithm is made of two layers: The outer level is a…

Optimization and Control · Mathematics 2014-07-22 Jean-Hubert Hours , Colin N. Jones

In this work, optimality conditions and classical results from duality theory are derived for continuous-time linear optimization problems with inequality constraints. The optimality conditions are given in the Karush-Kuhn-Tucker form. Weak…

Optimization and Control · Mathematics 2023-05-10 Valeriano Antunes de Oliveira

The paper studies the multi-user precoding problem as a non-convex optimization problem for wireless multiple input and multiple output (MIMO) systems. In our work, we approximate the target Spectral Efficiency function with a novel…

Information Theory · Computer Science 2022-06-22 Evgeny Bobrov , Dmitry Kropotov , Sergey Troshin , Danila Zaev

We study the computational complexity certification of inexact gradient augmented Lagrangian methods for solving convex optimization problems with complicated constraints. We solve the augmented Lagrangian dual problem that arises from the…

Optimization and Control · Mathematics 2013-02-19 Valentin Nedelcu , Ion Necoara , Quoc Tran Dinh

In this paper we investigate the practical design for the multiple-antenna cognitive radio (CR) networks sharing the geographically used or unused spectrum. We consider a single cell network formed by the primary users (PU), which are…

Information Theory · Computer Science 2013-12-10 Pin-Hsun Lin , Gabriel P. Villardi , Zhou Lan , Hiroshi Harada

Energy minimization algorithms, such as graph cuts, enable the computation of the MAP solution under certain probabilistic models such as Markov random fields. However, for many computer vision problems, the MAP solution under the model is…

Computer Vision and Pattern Recognition · Computer Science 2013-07-31 Yongsub Lim , Kyomin Jung , Pushmeet Kohli

In this paper, we propose a distributed algorithm for solving large-scale separable convex problems using Lagrangian dual decomposition and the interior-point framework. By adding self-concordant barrier terms to the ordinary Lagrangian, we…

Optimization and Control · Mathematics 2013-02-14 I. Necoara , J. A. K. Suykens

This paper focuses on developing a decentralized framework for coordinated minimum power beamforming wherein $L$ base stations (BSs), each equipped with $N$ antennas, serve $K$ single-antenna users with specific rate constraints. This is…

Signal Processing · Electrical Eng. & Systems 2018-11-27 Hossein Asgharimoghaddam , Antti Tölli , Luca Sanguinetti , Merouane Debbah

We consider the problem of coordinated multi- cell downlink beamforming in massive multiple input multiple output (MIMO) systems consisting of N cells, Nt antennas per base station (BS) and K user terminals (UTs) per cell. Specifically, we…

Information Theory · Computer Science 2015-04-09 Subhash Lakshminarayana , Mohamad Assaad , Merouane Debbah

We address an optimal transmit power allocation problem that minimizes the outage probability of a secondary user (SU) who is allowed to coexist with a primary user (PU) in a narrowband spectrum sharing cognitive radio network, under a long…

Information Theory · Computer Science 2011-11-14 Yuan Yuan He , Subhrakanti Dey