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The fundamental principle underlying compressed sensing is that a signal, which is sparse under some basis representation, can be recovered from a small number of linear measurements. However, prior knowledge of the sparsity basis is…

信息论 · 计算机科学 2010-04-29 Sivan Gleichman , Yonina C. Eldar

This paper studies the problem of jointly estimating multiple network processes driven by a common unknown input, thus effectively generalizing the classical blind multi-channel identification problem to graphs. More precisely, we model…

信号处理 · 电气工程与系统科学 2019-10-01 Yu Zhu , Fernando J. Iglesias , Antonio G. Marques , Santiago Segarra

One-bit compressive sensing is concerned with the accurate recovery of an underlying sparse signal of interest from its one-bit noisy measurements. The conventional signal recovery approaches for this problem are mainly developed based on…

信号处理 · 电气工程与系统科学 2022-09-23 Yiming Zeng , Shahin Khobahi , Mojtaba Soltanalian

We consider the problem of recovering block-sparse signals whose structures are unknown \emph{a priori}. Block-sparse signals with nonzero coefficients occurring in clusters arise naturally in many practical scenarios. However, the…

信息论 · 计算机科学 2013-11-12 Jun Fang , Yanning Shen , Hongbin Li , Pu Wang

Blind source separation (BSS) algorithms are unsupervised methods, which are the cornerstone of hyperspectral data analysis by allowing for physically meaningful data decompositions. BSS problems being ill-posed, the resolution requires…

信号处理 · 电气工程与系统科学 2022-09-28 Rémi Carloni Gertosio , Jérôme Bobin , Fabio Acero

Radio frequency sources are observed at a fusion center via sensor measurements made over slow flat-fading channels. The number of sources may be larger than the number of sensors, but their activity is sparse and intermittent with bursty…

信号处理 · 电气工程与系统科学 2019-08-07 Annan Dong , Osvaldo Simeone , Alexander Haimovich , Jason Dabin

Blind motion deblurring is one of the most basic and challenging problems in image processing and computer vision. It aims to recover a sharp image from its blurred version knowing nothing about the blur process. Many existing methods use…

计算机视觉与模式识别 · 计算机科学 2019-01-09 Quan Yuan , Junxia Li , Lingwei Zhang , Zhefu Wu , Guangyu Liu

The non-negative solution to an underdetermined linear system can be uniquely recovered sometimes, even without imposing any additional sparsity constraints. In this paper, we derive conditions under which a unique non-negative solution for…

The problem of estimating a sparse signal from low dimensional noisy observations arises in many applications, including super resolution, signal deconvolution, and radar imaging. In this paper, we consider a sparse signal model with…

信息论 · 计算机科学 2020-06-24 Youye Xie , Michael B. Wakin , Gongguo Tang

As known, receivers with in-phase and quadrature phase (I/Q) down conversion, especially direct-conversion architectures, always suffer from I/Q imbalance. I/Q imbalance is caused by amplitude and phase mismatch between I/Q paths. The…

信号处理 · 电气工程与系统科学 2019-05-27 Peiyang Song , Fengkui Gong , Hang Zhang , Guo Li

The state of polarization and the carrier phase drift dynamically during transmission in a random fashion in coherent optical fiber communications. The typical digital signal processing solution to mitigate these impairments consists of two…

信息论 · 计算机科学 2024-01-25 Cristian B. Czegledi , Erik Agrell , Magnus Karlsson , Pontus Johannisson

The generalized approximate message passing (GAMP) algorithm under the Bayesian setting shows advantage in recovering under-sampled sparse signals from corrupted observations. Compared to conventional convex optimization methods, it has a…

信息论 · 计算机科学 2017-01-12 Shuai Huang , Trac D. Tran

The ubiquity of approximately sparse data has led a variety of com- munities to great interest in compressed sensing algorithms. Although these are very successful and well understood for linear measurements with additive noise, applying…

信息论 · 计算机科学 2016-07-27 Christophe Schülke , Francesco Caltagirone , Lenka Zdeborová

A new iteration bound for the preconditioned conjugate gradient (PCG) method is presented that more accurately captures convergence for systems with clustered eigenspectra, where the classical condition number-based bound is too…

数值分析 · 数学 2025-11-18 Philip Soliman , Filipe Cumaru , Alexander Heinlein

One of the most powerful approaches to imaging at the nanometer or subnanometer length scale is coherent diffraction imaging using X-ray sources. For amorphous (non-crystalline) samples, the raw data can be interpreted as the modulus of the…

数值分析 · 数学 2020-04-02 Alexander Barnett , Charles L. Epstein , Leslie Greengard , Jeremy Magland

Pulse Doppler radars suffer from range-Doppler ambiguity that translates into a trade-off between maximal unambiguous range and velocity. Several techniques, like the multiple PRFs (MPRF) method, have been proposed to mitigate this problem.…

信号处理 · 电气工程与系统科学 2021-10-01 Xiang Liu , Deborah Cohen , Tianyao Huang , Yimin Liu , Yonina C. Eldar

In this paper, we studied the problem of beam alignment for millimeter wave (mmWave) communications, in which we assume a hybrid analog and digital beamforming structure is employed at the transmitter (i.e. base station), and an…

信息论 · 计算机科学 2019-09-04 Xingjian Li , Jun Fang , Huiping Duan , Zhi Chen , Hongbin Li

Proximal gradient methods are popular in sparse optimization as they are straightforward to implement. Nevertheless, they achieve biased solutions, requiring many iterations to converge. This work addresses these issues through a suitable…

最优化与控制 · 数学 2025-04-18 V. Cerone , S. M. Fosson , A. Re , D. Regruto

Blind source separation (BSS) aims at recovering signals from mixtures. This problem has been extensively studied in cases where the mixtures are contaminated with additive Gaussian noise. However, it is not well suited to describe data…

机器学习 · 统计学 2018-12-12 I. El Hamzaoui , J. Bobin

I show that the power iteration method applied to the phase retrieval problem converges under special conditions. One is given the relative phases between small non-overlapping groups of pixels of a recorded intensity pattern, but no…

光学 · 物理学 2012-12-04 Stefano Marchesini