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The goal of this paper is to characterize the best achievable performance for the problem of estimating an unknown parameter having a sparse representation. Specifically, we consider the setting in which a sparsely representable…

统计理论 · 数学 2009-09-29 Zvika Ben-Haim , Yonina C. Eldar

It is known that the estimating equations for quantile regression (QR) can be solved using an EM algorithm in which the M-step is computed via weighted least squares, with weights computed at the E-step as the expectation of independent…

统计方法学 · 统计学 2021-08-26 Haim Bar , James Booth , Martin T. Wells

Horizontal line arrays are often employed in underwater environments to estimate the direction of arrival (DOA) of a weak signal. Conventional beamforming (CB) is robust but has wide beamwidths and high-level sidelobes. High-resolution…

信号处理 · 电气工程与系统科学 2020-12-09 Qi Zhang , Jiang Zhu , Yuantao Gu , Zhiwei Xu

Sparse linear arrays, such as co-prime arrays and nested arrays, have the attractive capability of providing enhanced degrees of freedom. By exploiting the coarray structure, an augmented sample covariance matrix can be constructed and…

应用统计 · 统计学 2016-12-15 Mianzhi Wang , Arye Nehorai

We study a new image sensor that is reminiscent of traditional photographic film. Each pixel in the sensor has a binary response, giving only a one-bit quantized measurement of the local light intensity. To analyze its performance, we…

信息论 · 计算机科学 2015-05-28 Feng Yang , Yue M. Lu , Luciano Sbaiz , Martin Vetterli

This paper presents a distributed estimator for a deterministic parametric physical field sensed by a homogeneous sensor network and develops a new transformed expression for the Cramer-Rao lower bound (CRLB) on the variance of distributed…

信息论 · 计算机科学 2015-06-17 Salvatore Talarico , Natalia A. Schmid , Marwan Alkhweldi , Matthew C. Valenti

Mixed-resolution architectures, combining high-resolution (analog) data with coarsely quantized (e.g., 1-bit) data, are widely employed in emerging communication and radar systems to reduce hardware costs and power consumption. However, the…

信号处理 · 电气工程与系统科学 2025-08-29 Yaniv Mazor , Tirza Routtenberg

Parameter estimation from multiple measurement vectors (MMVs) is a fundamental problem in many signal processing applications, e.g., spectral analysis and direction-of- arrival estimation. Recently, this problem has been address using prior…

信息论 · 计算机科学 2016-06-24 Christian Steffens , Marius Pesavento , Marc E. Pfetsch

Spectrum cartography (SC), also known as radio map estimation (RME), aims at crafting multi-domain (e.g., frequency and space) radio power propagation maps from limited sensor measurements. While early methods often lacked theoretical…

信号处理 · 电气工程与系统科学 2023-08-25 Subash Timilsina , Sagar Shrestha , Xiao Fu

As an alternative to the traditional sampling theory, compressed sensing allows acquiring much smaller amount of data, still estimating the spectra of frequency-sparse signals accurately. However, compressed sensing usually requires random…

信息论 · 计算机科学 2016-07-22 Shan Huang , Hong Sun , Haijian Zhang , Lei Yu

This letter investigates channel estimation for ultra-massive multiple-input multiple-output (MIMO) communications. We propose a joint low-rank and sparse Bayesian estimation (LRSBE) algorithm for spatial non-stationary ultra-massive…

信息论 · 计算机科学 2025-12-05 Jianghan Ji , Cheng-Xiang Wang , Shuaifei Chen , Chen Huang , Xiping Wu , Emil Björnson

This paper presents a novel efficient method for gridless line spectrum estimation problem with single snapshot, namely the gradient descent least squares (GDLS) method. Conventional single snapshot (a.k.a. single measure vector or SMV)…

信号处理 · 电气工程与系统科学 2023-07-19 Ruizhe Shi , Zhe Zhang , Xiaolan Qiu , Chibiao Ding

An important receiver operation is to detect the presence specific preamble signals with unknown delays in the presence of scattering, Doppler effects and carrier offsets. This task, referred to as "link acquisition", is typically a…

信息论 · 计算机科学 2015-06-11 Xiao Li , Andrea Rueetschi , Anna Scaglione , Yonina C. Eldar

Carrier frequency offset estimation (CFOE) is a critical stage in modern coherent optical communication systems. Although conventional all-digital techniques perform reliably in typical fiber-optic communication links, CFOE often becomes a…

信号处理 · 电气工程与系统科学 2026-03-31 I. P. Vieira , G. V. Serra , R. A. Colares , D. A. A. Mello

In massive multiple-input multiple-output (MIMO) systems, the knowledge of the users' channel covariance matrix is crucial for minimum mean square error (MMSE) channel estimation in the uplink as well as it plays an important role in…

信息论 · 计算机科学 2022-06-07 Tianyu Yang , Mahdi Barzegar Khalilsarai , Saeid Haghighatshoar , Giuseppe Caire

Purpose: To develop a method for optimizing pulsed saturation transfer MR fingerprinting (ST MRF) acquisition. Methods: The Cram\'er-Rao bound (CRB) for variance assessment was employed on Bloch-McConnell-based simulated signals, followed…

医学物理 · 物理学 2025-10-21 Nikita Vladimirov , Moritz Zaiss , Or Perlman

Target parameter estimation performance is investigated for a radar employing a set of widely separated transmitting and receiving antenna arrays. Cases with multiple extended targets are considered under two signal model assumptions:…

信息论 · 计算机科学 2018-08-02 Peter Khomchuk , Igal Bilik , Rick S. Blum

In the Multiple Measurements Vector (MMV) model, measurement vectors are connected to unknown, jointly sparse signal vectors through a linear regression model employing a single known measurement matrix (or dictionary). Typically, the…

统计方法学 · 统计学 2024-08-05 Esa Ollila

Estimation of a vector from quantized linear measurements is a common problem for which simple linear techniques are suboptimal -- sometimes greatly so. This paper develops generalized approximate message passing (GAMP) algorithms for…

信息论 · 计算机科学 2015-03-24 Ulugbek Kamilov , Vivek K. Goyal , Sundeep Rangan

Variational auto-encoders (VAE) are popular deep latent variable models which are trained by maximizing an Evidence Lower Bound (ELBO). To obtain tighter ELBO and hence better variational approximations, it has been proposed to use…

机器学习 · 统计学 2021-07-22 Achille Thin , Nikita Kotelevskii , Arnaud Doucet , Alain Durmus , Eric Moulines , Maxim Panov