English
Related papers

Related papers: Gridless Multisnapshot Variational Line Spectral E…

200 papers

We consider distributed estimation of a Gaussian vector with a linear observation model in an inhomogeneous wireless sensor network, where a fusion center (FC) reconstructs the unknown vector, using a linear estimator. Sensors employ…

Information Theory · Computer Science 2016-08-24 Alireza Sani , Azadeh Vosoughi

Estimating the spectral characteristics of a nonstationary random process is an important but challenging task, which can be facilitated by exploiting structural properties of the process. In certain applications, the observed processes are…

Computation · Statistics 2013-04-25 Alexander Jung , Georg Tauböck , Franz Hlawatsch

We consider the problem of recovering random graph signals from nonlinear measurements. For this case, closed-form Bayesian estimators are usually intractable and even numerical evaluation of these estimators may be hard to compute for…

Signal Processing · Electrical Eng. & Systems 2022-06-23 Ariel Kroizer , Tirza Routtenberg , Yonina C. Eldar

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

The use of multichannel data in line spectral estimation (or frequency estimation) is common for improving the estimation accuracy in array processing, structural health monitoring, wireless communications, and more. Recently proposed…

Information Theory · Computer Science 2018-10-15 Zai Yang , Jinhui Tang , Yonina C. Eldar , Lihua Xie

We present a general problem formulation for optimal parameter estimation based on quantized observations, with application to antenna array communication and processing (channel estimation, time-of-arrival (TOA) and direction-of-arrival…

Information Theory · Computer Science 2010-10-28 Amine Mezghani , Felix Antreich , Josef A. Nossek

This paper aims at presenting a numerical investigation of the statistical efficiency of the MUSIC (with different covariance matrix estimates) and the IAA-APES Direction of Arrivals (DOAs) estimation algorithms under a general Complex…

Signal Processing · Electrical Eng. & Systems 2019-03-04 Stefano Fortunati , Fulvio Gini , Maria S. Greco

This paper examines the problem of estimating the parameters of a bandlimited signal from samples corrupted by random jitter (timing noise) and additive iid Gaussian noise, where the signal lies in the span of a finite basis. For the…

Applications · Statistics 2015-03-24 Daniel S. Weller , Vivek K Goyal

We study the problem of sampling a bandlimited graph signal in the presence of noise, where the objective is to select a node subset of prescribed cardinality that minimizes the signal reconstruction mean squared error (MSE). To that end,…

Machine Learning · Statistics 2017-11-02 Abolfazl Hashemi , Rasoul Shafipour , Haris Vikalo , Gonzalo Mateos

Sparse coding refers to the pursuit of the sparsest representation of a signal in a typically overcomplete dictionary. From a Bayesian perspective, sparse coding provides a Maximum a Posteriori (MAP) estimate of the unknown vector under a…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Dror Simon , Jeremias Sulam , Yaniv Romano , Yue M. Lu , Michael Elad

Stochastic sampling methods are arguably the most direct and least intrusive means of incorporating parametric uncertainty into numerical simulations of partial differential equations with random inputs. However, to achieve an overall error…

Numerical Analysis · Mathematics 2014-04-09 Hans-Werner van Wyk

In this paper, we consider the problem of recovering random graph signals with complex values. For general Bayesian estimation of complex-valued vectors, it is known that the widely-linear minimum mean-squared-error (WLMMSE) estimator can…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Alon Amar , Tirza Routtenberg

The directionality of millimeter-wave (mmWave) communications introduces a significant challenge in serving fast-rotating/moving terminals, e.g., mobile AR/VR, high-speed vehicles, trains, UAVs.This challenge is exacerbated in mmWave…

Information Theory · Computer Science 2019-04-26 Jiahui Li , Yin Sun , Limin Xiao , Shidong Zhou , C. Emre Koksal

We address numerical differentiation under coarse, non-uniform sampling and Gaussian noise. A maximum-likelihood estimator with $L_2$-norm constraint on a higher-order derivative is obtained, yielding spline-based solution. We introduce a…

Methodology · Statistics 2025-07-31 Konstantin E. Avrachenkov , Leonid B. Freidovich

In this paper, we present a variational inference algorithm that decomposes a signal into multiple groups of related spectral lines. The spectral lines in each group are associated with a group parameter common to all spectral lines within…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Jakob Möderl , Franz Pernkopf , Klaus Witrisal , Erik Leitinger

We study the quantization of real-valued bandlimited signals on graphs, focusing on low-bit representations. We propose iterative noise-shaping algorithms for quantization, including sampling approaches with and without vertex replacement.…

Signal Processing · Electrical Eng. & Systems 2026-01-27 Felix Krahmer , He Lyu , Rayan Saab , Jinna Qian , Anna Veselovska , Rongrong Wang

In this study, the hybrid Cramer-Rao bound (CRB) is developed for target localization, to establish the sensitivity of the estimation mean-square error (MSE) to the level of phase synchronization mismatch in coherent Multiple-Input…

Information Theory · Computer Science 2009-10-30 Hana Godrich , Alexander M. Haimovich , H. Vincent Poor

Line spectral estimation is the problem of recovering the frequencies and amplitudes of a mixture of a few sinusoids from equispaced samples. However, in a variety of signal processing problems arising in imaging, radar, and localization we…

Information Theory · Computer Science 2016-09-28 Reinhard Heckel , Mahdi Soltanolkotabi

For many practical applications in wireless communications, we need to recover a structured sparse signal from a linear observation model with dynamic grid parameters in the sensing matrix. Conventional expectation maximization (EM)-based…

Signal Processing · Electrical Eng. & Systems 2023-11-14 Wenkang Xu , An Liu , Bingpeng Zhou , Minjian Zhao

Although quantile regression to calculate risk measures has been widely established in the financial literature, when considering data observed at mixed--frequency, an extension is needed. In this paper, a model is suggested built on a…

Statistical Finance · Quantitative Finance 2023-03-17 Vincenzo Candila , Giampiero M. Gallo , Lea Petrella