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In this paper, we give a tutorial on asymptotic properties of the Least Square (LS) and Regularized Least Squares (RLS) estimators for the finite impulse response model with filtered white noise inputs. We provide three perspectives: the…

Statistics Theory · Mathematics 2022-01-03 Yue Ju , Tianshi Chen , Biqiang Mu , Lennart Ljung

In this paper, we address the problem of robust adaptive beamforming of signals received by a linear array. The challenge associated with the beamforming problem is twofold. Firstly, the process requires the inversion of the usually…

Information Theory · Computer Science 2016-11-22 Mohamed Suliman , Tarig Ballal , Tareq Y. Al-Naffouri

The reduced-rank method exploits the distortion-variance tradeoff to yield superior solutions for classic problems in statistical signal processing such as parameter estimation and filtering. The central idea is to reduce the variance of…

Information Theory · Computer Science 2019-03-06 K. G. Nagananda , Pramod Khargonekar

An iteratively reweighted least squares (IRLS) method is proposed for estimating polyserial and polychoric correlation coefficients in this paper. It iteratively calculates the slopes in a series of weighted linear regression models fitting…

Methodology · Statistics 2022-10-21 Peng Zhang , Ben Liu , Jingjing Pan

Partial diffusion-based recursive least squares (PDRLS) is an effective method for reducing computational load and power consumption in adaptive network implementation. In this method, each node shares a part of its intermediate estimate…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-20 Vahid Vahidpour , Amir Rastegarnia , Azam Khalili , Saeid Sanei

To keep massive MIMO systems cost-efficient, power amplifiers with rather small output dynamic ranges are employed. They may distort the transmit signal and degrade the performance. This paper proposes a distortion aware precoding scheme…

Signal Processing · Electrical Eng. & Systems 2019-05-15 Ali Bereyhi , Saba Asaad , Ralf R. Müller , Symeon Chatzinotas

The iteratively reweighted least squares method (IRLS) is a popular technique used in practice for solving regression problems. Various versions of this method have been proposed, but their theoretical analyses failed to capture the good…

Data Structures and Algorithms · Computer Science 2019-07-11 Alina Ene , Adrian Vladu

This paper presents reduced-rank linearly constrained minimum variance (LCMV) beamforming algorithms based on joint iterative optimization of filters. The proposed reduced-rank scheme is based on a constrained joint iterative optimization…

Other Computer Science · Computer Science 2012-05-22 R. C. de Lamare , L. Wang , R. Fa

Introduction Several speech processing algorithms assume the signal is stationary during short intervals (approximately 20 to 30 ms). This assumption is valid for several applications, but it is too restrictive in some contexts. This work…

Audio and Speech Processing · Electrical Eng. & Systems 2018-12-10 Aldebaro Klautau

We propose an iterative channel estimation algorithm based on the Least Square Estimation (LSE) and Sparse Message Passing (SMP) algorithm for the Millimeter Wave (mmWave) MIMO systems. The channel coefficients of the mmWave MIMO are…

Information Theory · Computer Science 2022-06-23 Chongwen Huang , Lei Liu , Chau Yuen , Sumei Sun

Most multilayer least squares (LS)-based neural networks are structured with two separate stages: unsupervised feature encoding and supervised pattern classification. Once the unsupervised learning is finished, the latent encoding would be…

Machine Learning · Computer Science 2021-03-04 Wandong Zhang , QM Jonathan Wu , Yimin Yang , WG Will Zhao , Tianlei Wang , Hui Zhang

The concept of reconfiguring wireless propagation environments using intelligent reflecting surfaces (IRS)s has recently emerged, where an IRS comprises of a large number of passive reflecting elements that can smartly reflect the impinging…

Information Theory · Computer Science 2020-05-05 Qurrat-Ul-Ain Nadeem , Hibatallah Alwazani , Abla Kammoun , Anas Chaaban , Merouane Debbah , Mohamed-Slim Alouini

In the presence of confounders, the ordinary least squares (OLS) estimator is known to be biased. This problem can be remedied by using the two-stage least squares (TSLS) estimator, based on the availability of valid instrumental variables…

Methodology · Statistics 2015-04-15 Cedric E. Ginestet , Richard Emsley , Sabine Landau

The Rasch model is widely used for item response analysis in applications ranging from recommender systems to psychology, education, and finance. While a number of estimators have been proposed for the Rasch model over the last decades, the…

Machine Learning · Statistics 2018-06-12 Andrew S. Lan , Mung Chiang , Christoph Studer

In this paper, we propose a new algorithm of iterative least squared (LS) channel estimation for 64 antennas Massive Multiple Input, Multiple Output (MIMO) turbo-receiver. The algorithm employs log-likelihood ratios (LLR) of low-density…

Signal Processing · Electrical Eng. & Systems 2020-09-29 Alexander Osinsky , Andrey Ivanov , Dmitry Lakontsev , Roman Bychkov , Dmitry Yarotsky

Ongoing demand for radio spectrum by commercial wireless services has steadily increased pressure on the frequency bands traditionally reserved for radar. This paper addresses the joint problem of designing non-contiguous radar transmission…

Signal Processing · Electrical Eng. & Systems 2026-05-29 Gordon Ariho , Hara Madhav Talasila , James M. Stiles , Peng Seng Tan

Latest least squares regression (LSR) methods mainly try to learn slack regression targets to replace strict zero-one labels. However, the difference of intra-class targets can also be highlighted when enlarging the distance between…

Computer Vision and Pattern Recognition · Computer Science 2019-10-09 Zhe Chen , Xiao-Jun Wu , Josef Kittler

We present a unified large system analysis of linear receivers for a class of random matrix channels. The technique unifies the analysis of both the minimum-mean-squared-error (MMSE) receiver and the adaptive least-squares (ALS) receiver,…

Information Theory · Computer Science 2009-09-29 Matthew J. M. Peacock , Iain B. Collings , Michael L. Honig

We propose a minimum distance estimation method for robust regression in sparse high-dimensional settings. The traditional likelihood-based estimators lack resilience against outliers, a critical issue when dealing with high-dimensional…

Methodology · Statistics 2013-07-12 Aurélie C. Lozano , Nicolai Meinshausen

In radial basis function neural network (RBFNN) based real-time learning tasks, forgetting mechanisms are widely used such that the neural network can keep its sensitivity to new data. However, with forgetting mechanisms, some useful…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Yiming Fei , Jiangang Li , Yanan Li