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The worst-case robust adaptive beamforming problem for general-rank signal model is considered. Its formulation is to maximize the worst-case signal-to-interference-plus-noise ratio (SINR), incorporating a positive semidefinite constraint…

Signal Processing · Electrical Eng. & Systems 2018-05-15 Yongwei Huang , Sergiy A. Vorobyov

A joint robust transmit/receive adaptive beamforming for multiple-input multipleoutput (MIMO) radar based on probability-constrained optimization approach is developed in the case of Gaussian and arbitrary distributed mismatch present in…

Information Theory · Computer Science 2016-03-03 Weiyu Zhang , Sergiy A. Vorobyov

In this letter, we propose a robust beamforming design for non-orthogonal multiple access (NOMA) based multiple-input single-output (MISO) downlink systems. In particular, the robust power minimization problem is studied with imperfect…

Information Theory · Computer Science 2017-08-29 Faezeh Alavi , Kanapathippillai Cumanan , Zhiguo Ding , Alister G. Burr

In this paper, a binaural beamforming algorithm for hearing aid applications is introduced.The beamforming algorithm is designed to be robust to some error in the estimate of the target speaker direction. The algorithm has two main…

Audio and Speech Processing · Electrical Eng. & Systems 2019-11-21 Hala As'ad , Martin Bouchard , Homayoun Kamkar-Parsi

In this paper, we propose low-complexity robust adaptive beamforming (RAB) techniques that based on shrinkage methods. The only prior knowledge required by the proposed algorithms are the angular sector in which the actual steering vector…

Information Theory · Computer Science 2015-05-27 H. Ruan , R. C. de Lamare

We develop a new approach to robust adaptive beamforming in the presence of signal steering vector errors. Since the signal steering vector is known imprecisely, its presumed (prior) value is used to find a more accurate estimate of the…

Information Theory · Computer Science 2012-05-15 Arash Khabbazibasmenj , Sergiy A. Vorobyov , Aboulnasr Hassanien

The robust adaptive beamforming (RAB) problem for general-rank signal model with an additional positive semi-definite constraint is considered. Using the principle of the worst-case performance optimization, such RAB problem leads to a…

Information Theory · Computer Science 2015-06-12 Arash Khabbazibasmenj , Sergiy A. Vorobyov

In this paper, we study the generalized problem that minimizes or maximizes a multi-order complex quadratic form with constant-modulus constraints on all elements of its optimization variable. Such a mathematical problem is commonly…

Signal Processing · Electrical Eng. & Systems 2025-08-28 Chunxuan Shi , Yongzhe Li , Ran Tao

In this paper, we address a manifold constrained nonsmooth optimization problem involving the composition of a weakly convex function and a smooth mapping under the availability of a parametrization of the manifold. To find a stationary…

Optimization and Control · Mathematics 2026-02-03 Keita Kume , Isao Yamada

This paper introduces a framework for Chance-Constrained Optimization with Complex Variables, addressing complex linear programming for both individual and joint probabilistic constraints in the complex domain. We first analyze the 3CP…

Optimization and Control · Mathematics 2026-05-25 Raneem Madani , Abdel Lisser , Zeno Toffano

In this paper, we consider the classical robust adaptive beamforming (RAB) problem. Conventionally, this problem is solved either with an off-the-shelf solver like MOSEK or through the well-known RMVB algorithm based on Lagrange multiplier…

Optimization and Control · Mathematics 2026-03-11 Licheng Zhao , Rui Zhou , Wenqiang Pu

In this work, we propose an adaptive set-membership constant modulus (SM-CM) algorithm with a generalized sidelobe canceler (GSC) structure for blind beamforming. We develop a stochastic gradient (SG) type algorithm based on the concept of…

Information Theory · Computer Science 2014-03-13 Yunlong Cai , Rodrigo C. de Lamare , Minjian Zhao

A robust adaptive model predictive control (MPC) algorithm is presented for linear, time invariant systems with unknown dynamics and subject to bounded measurement noise. The system is characterized by an impulse response model, which is…

Systems and Control · Electrical Eng. & Systems 2019-11-21 Anilkumar Parsi , Andrea Iannelli , Mingzhou Yin , Mohammad Khosravi , Roy S. Smith

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 work, we propose a low-complexity robust adaptive beamforming (RAB) technique which estimates the steering vector using a Low-Complexity Shrinkage-Based Mismatch Estimation (LOCSME) algorithm. The proposed LOCSME algorithm estimates…

Information Theory · Computer Science 2015-06-17 Hang Ruan , Rodrigo C. de Lamare

Advancements in 6G wireless technology have elevated the importance of beamforming, especially for attaining ultra-high data rates via millimeter-wave (mmWave) frequency deployment. Although promising, mmWave bands require substantial beam…

Networking and Internet Architecture · Computer Science 2024-07-31 Avi Deb Raha , Kitae Kim , Apurba Adhikary , Mrityunjoy Gain , Zhu Han , Choong Seon Hong

Optimization problems involving complex variables, when solved, are typically transformed into real variables, often at the expense of convergence rate and interpretability. This paper introduces a novel formalism for a prominent problem in…

Optimization and Control · Mathematics 2025-04-07 Raneem Madani , Abdel Lisser

Transmit optimization and resource allocation for wireless cooperative networks with channel state information (CSI) uncertainty are important but challenging problems in terms of both the uncertainty modeling and performance op-…

Information Theory · Computer Science 2014-06-30 Yuanming Shi , Jun Zhang , Khaled B. Letaief

The constrained gradient method (CGM) has recently been proposed to solve convex optimization and monotone variational inequality (VI) problems with general functional constraints. While existing literature has established convergence…

Optimization and Control · Mathematics 2025-11-24 Danqing Zhou , Hongmei Chen , Shiqian Ma , Junfeng Yang

In this paper, we focus on constant-modulus waveform design for the dual use of radar target detection and cellular transmission. As the MIMO radar typically transmits orthogonal waveforms to search potential targets, we aim at jointly…

Signal Processing · Electrical Eng. & Systems 2019-04-15 Fan Liu , Christos Masouros , Hugh Griffiths