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We consider the design of a linear sensing system with a fixed energy budget assuming that the sampling noise is the dominant noise source. The energy constraint implies that the signal energy per measurement decreases linearly with the…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Yang Lu , Wei Dai , Yonina C. Eldar

Gaussian processes (GP) for machine learning have been studied systematically over the past two decades and they are by now widely used in a number of diverse applications. However, GP kernel design and the associated hyper-parameter…

Machine Learning · Computer Science 2020-10-28 Feng Yin , Lishuo Pan , Xinwei He , Tianshi Chen , Sergios Theodoridis , Zhi-Quan , Luo

Baseband processing algorithms often require knowledge of the noise power, signal power, or signal-to-noise ratio (SNR). In practice, these parameters are typically unknown and must be estimated. Furthermore, the mean-square error (MSE) is…

Signal Processing · Electrical Eng. & Systems 2023-03-28 Alexandra Gallyas-Sanhueza , Christoph Studer

We consider the problem of signal estimation in a generalized linear model (GLM). GLMs include many canonical problems in statistical estimation, such as linear regression, phase retrieval, and 1-bit compressed sensing. Recent work has…

Information Theory · Computer Science 2024-10-29 Pablo Pascual Cobo , Kuan Hsieh , Ramji Venkataramanan

We propose a low complexity graph-based linear minimum mean square error (LMMSE) equalizer which considers both the intersymbol interference (ISI) and the effect of non-white noise inherent in Faster-than-Nyquist (FTN) signaling. In order…

Information Theory · Computer Science 2016-11-17 Pinar Sen , Tugcan Aktas , A. Ozgur Yilmaz

In this paper, we propose a novel channel estimation algorithm based on the Least Square Estimation (LSE) and Sparse Message Passing algorithm (SMP), which is of special interest for Millimeter Wave (mmWave) systems, since this algorithm…

Information Theory · Computer Science 2016-09-13 Chongwen Huang , Lei Liu , Chau Yuen , Sumei Sun

We consider the problem of identifying a single line outage in a power grid by using data from phasor measurement units (PMUs). When a line outage occurs, the voltage phasor of each bus node changes in response to the change in network…

Optimization and Control · Mathematics 2014-09-15 Taedong Kim , Stephen J. Wright

In this paper, least square estimation (LSE)-based dynamic generator model parameter identification is investigated. Electromechanical dynamics related parameters such as inertia constant and primary frequency control droop for a…

Systems and Control · Computer Science 2015-03-19 Bander Mogharbel , Lingling Fan , Zhixin Miao

Gaussian channel simulation is an essential paradigm in understanding the evolution of bosonic quantum states. It allows us to investigate how such states are influenced by the environment and how they transmit quantum information. This…

This letter presents an improved version of diffusion least mean ppower (LMP) algorithm for distributed estimation. Instead of sum of mean square errors, a weighted sum of mean square error is defined as the cost function for global and…

Machine Learning · Statistics 2016-08-09 H. Zayyani , M. Korki

Analysis and synthesis of safety-critical autonomous systems are carried out using models which are often dynamic. Two central features of these dynamic systems are parameters and unmodeled dynamics. This paper addresses the use of a…

Systems and Control · Electrical Eng. & Systems 2022-03-17 Arnab Sarker , Peter Fisher , Joseph E. Gaudio , Anuradha M. Annaswamy

Efficient information processing is crucial for both living organisms and engineered systems. The mutual information rate, a core concept of information theory, quantifies the amount of information shared between the trajectories of input…

Molecular Networks · Quantitative Biology 2025-09-01 Manuel Reinhardt , Age J. Tjalma , Anne-Lena Moor , Christoph Zechner , Pieter Rein ten Wolde

In this paper, we study the placement of Phasor Measurement Units (PMU) for enhancing hybrid state estimation via the traditional Gauss-Newton method, which uses measurements from both PMU devices and Supervisory Control and Data…

Optimization and Control · Mathematics 2016-11-15 Xiao Li , Anna Scaglione , Tsung-Hui Chang

In this paper we consider the issue of reliability of measurements in distributed adaptive estimation problem. To this aim, we assume a sensor network with different observation noise variance among the sensors and propose new estimation…

Systems and Control · Computer Science 2015-07-27 Wael M. Bazzi , Amir Rastegarnia , Azam Khalili

The present study proposes incorporating non-parametric knowledge into the diffusion least-mean-squares algorithm in the framework of a maximum a posteriori (MAP) estimation. The proposed algorithm leads to a robust estimation of an unknown…

Machine Learning · Computer Science 2023-12-05 Soheil Ashkezari-Toussi , Hadi sadoghi-Yazdi

Purpose: For quantitative susceptibility mapping (QSM), the lack of ground-truth in clinical settings makes it challenging to determine suitable parameters for the dipole inversion. We propose a probabilistic Bayesian approach for QSM with…

Image and Video Processing · Electrical Eng. & Systems 2023-06-01 Shuai Huang , James J. Lah , Jason W. Allen , Deqiang Qiu

The minimum mean square error of the estimation of a non Gaussian signal where observed from an additive white Gaussian noise channel's output, is analyzed. First, a quite general time-continuous channel model is assumed for which the…

Information Theory · Computer Science 2010-02-04 Jacob Binia

Consider the noisy underdetermined system of linear equations: y=Ax0 + z0, with n x N measurement matrix A, n < N, and Gaussian white noise z0 ~ N(0,\sigma^2 I). Both y and A are known, both x0 and z0 are unknown, and we seek an…

Statistics Theory · Mathematics 2015-03-14 David L. Donoho , Arian Maleki , Andrea Montanari

This paper describes several new algorithms for estimating the parameters of a periodic bandlimited signal from samples corrupted by jitter (timing noise) and additive noise. Both classical (non-random) and Bayesian formulations are…

Applications · Statistics 2016-09-08 Daniel S. Weller , Vivek K Goyal

This paper tackles the problem of millimeter-Wave (mmWave) channel estimation in massive MIMO communication systems. A new Bayes-optimal channel estimator is derived using recent advances in the approximate belief propagation (BP) Bayesian…

Information Theory · Computer Science 2019-03-07 Faouzi Bellili , Foad Sohrabi , Wei Yu