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In this paper, we first describe a matricial Newton-type algorithm designed to solve the multivariable spectrum approximation problem. We then prove its global convergence. Finally, we apply this approximation procedure to multivariate…

Optimization and Control · Mathematics 2008-09-30 Federico Ramponi , Augusto Ferrante , Michele Pavon

This paper addresses the mobility problem in massive multiple-input multiple-output systems, which leads to significant performance losses in the practical deployment of the fifth generation mobile communication networks. We propose a novel…

Information Theory · Computer Science 2022-08-04 Weidong Li , Haifan Yin , Ziao Qin , Yandi Cao , Merouane Debbah

In this paper, we investigate the matrix estimation problem in the multi-response regression model with measurement errors. A nonconvex error-corrected estimator based on a combination of the amended loss function and the nuclear norm…

Statistics Theory · Mathematics 2022-09-19 Xin Li , Dongya Wu

We develop a direction of arrival (DoA) and channel estimation algorithm for the one-bit quantized millimeter-wave (mmWave) massive multiple-input multiple-output (MIMO) system. By formulating the estimation problem as a noisy one-bit…

Signal Processing · Electrical Eng. & Systems 2019-09-24 Liangyuan Xu , Feifei Gao , Cheng Qian

We propose a novel iterative algorithm for estimating a deterministic but unknown parameter vector in the presence of model uncertainties. This iterative algorithm is based on a system model where an overall noise term describes both, the…

Statistics Theory · Mathematics 2017-11-27 Oliver Lang , Michael Lunglmayr , Mario Huemer

Matrix-variate optimization plays a central role in advanced wireless system designs. In this paper, we aim to explore optimal solutions of matrix variables under two special structure constraints using complex matrix derivatives, including…

Information Theory · Computer Science 2023-11-21 Xin Ju , Shiqi Gong , Nan Zhao , Chengwen Xing , Arumugam Nallanathan , Dusit Niyato

Image reconstruction under multiple light scattering is crucial in a number of applications such as diffraction tomography. The reconstruction problem is often formulated as a nonconvex optimization, where a nonlinear measurement model is…

Computer Vision and Pattern Recognition · Computer Science 2018-07-04 Yu Sun , Zhihao Xia , Ulugbek S. Kamilov

We propose a class of robust estimates for multivariate linear models. Based on the approach of MM estimation (Yohai 1987), we estimate the regression coefficients and the covariance matrix of the errors simultaneously. These estimates have…

Statistics Theory · Mathematics 2025-12-03 Nadia L. Kudraszow , Ricardo A. Maronna

Polyhedral estimate is a generic efficiently computable nonlinear in observations routine for recovering unknown signal belonging to a given convex compact set from noisy observation of signal's linear image. Risk analysis and optimal…

Statistics Theory · Mathematics 2022-12-26 Anatoli Juditsky , Arkadi Nemirovski

Partial feedback in multiple-input multiple-output (MIMO) communication systems provides tremendous capacity gain and enables the transmitter to exploit channel condition and to eliminate channel interference. In the case of severely…

Applications · Statistics 2007-10-24 Kamal Shahtalebi , Golam Reza Bakhshi , Hamidreza Saligheh Rad

Large scale multiple-input multiple-output (MIMO) system is considered one of promising technologies for realizing next-generation wireless communication system (5G) to increasing the degrees of freedom in space and enhancing the link…

Information Theory · Computer Science 2014-07-24 Guan Gui , Li Xu

As massive multiple-input multiple-output (MIMO) becomes popular, direction of arrival (DOA) measurement has been made a real renaissance due to the high-resolution achieved. Thus, there is no doubt about DOA estimation using massive MIMO.…

Information Theory · Computer Science 2023-07-18 Jiangzhou Wang , Baihua Shi , Feng Shu , Qi Zhang , Di Wu , Qijuan Jie , Zhihong Zhuang , Siling Feng , Yijin Zhang

A linear inverse problem is proposed that requires the determination of multiple unknown signal vectors. Each unknown vector passes through a different system matrix and the results are added to yield a single observation vector. Given the…

Numerical Analysis · Computer Science 2010-09-03 Adam C. Zelinski , Vivek K Goyal , Elfar Adalsteinsson

A new wave of wireless services, including virtual reality, autonomous driving and internet of things, is driving the design of new generations of wireless systems to deliver ultra-high data rates, massive number of connected devices and…

Information Theory · Computer Science 2019-12-24 Zhenyu Liu , Lin Zhang , Zhi Ding

Large Language Models (LLMs) have become indispensable tools across various applications, making it more important than ever to ensure the quality and the trustworthiness of their outputs. This has led to growing interest in uncertainty…

Computation and Language · Computer Science 2025-09-26 Roman Vashurin , Maiya Goloburda , Preslav Nakov , Maxim Panov

Channel estimation is a difficult problem in MIMO systems. Using a physical model allows to ease the problem, injecting a priori information based on the physics of propagation. However, such models rest on simplifying assumptions and…

Signal Processing · Electrical Eng. & Systems 2021-05-28 Luc Le Magoarou , Stéphane Paquelet

Multiple-input multiple-output (MIMO) detection is a fundamental problem in wireless communications and it is strongly NP-hard in general. Massive MIMO has been recognized as a key technology in the fifth generation (5G) and beyond…

Optimization and Control · Mathematics 2021-03-10 Ping-Fan Zhao , Qing-Na Li , Wei-Kun Chen , Ya-Feng Liu

By using the Hadamard matrix product concept, this paper introduces two generalized matrix formulation forms of numerical analogue of nonlinear differential operators. The SJT matrix-vector product approach is found to be a simple,…

Computational Engineering, Finance, and Science · Computer Science 2024-09-21 W. Chen

Massive MIMO is a variant of multiuser MIMO, where the number of antennas $M$ at the base-station is large, and generally much larger than the number of spatially multiplexed data streams to/from the users. It has been observed that in many…

Information Theory · Computer Science 2017-07-25 Saeid Haghighatshoar , Giuseppe Caire

Millimeter wave (mmWave) multiple-input-multi-output (MIMO) is now a reality with great potential for further improvement. We study full-duplex transmissions as an effective way to improve mmWave MIMO systems. Compared to half-duplex…

Information Theory · Computer Science 2025-01-31 Mehdi Sattari , Hao Guo , Deniz Gündüz , Ashkan Panahi , Tommy Svensson