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相关论文: On the Foundation of Sparse Sensing (Part II): Dio…

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The estimation of static parameters in dynamical systems and control theory has been extensively studied, with significant progress made in estimating varying parameters in specific system types. Suppose, in the general case, we have data…

最优化与控制 · 数学 2025-07-10 Jamiree Harrison , Enoch Yeung

This paper aims to propose and theoretically analyze a new distributed scheme for sparse linear regression and feature selection. The primary goal is to learn the few causal features of a high-dimensional dataset based on noisy observations…

机器学习 · 统计学 2021-11-05 Hanie Barghi , Amir Najafi , Seyed Abolfazl Motahari

In this paper, we consider the classic measurement error regression scenario in which our independent, or design, variables are observed with several sources of additive noise. We will show that our motivating example's replicated…

应用统计 · 统计学 2012-07-10 David J. Biagioni , Ryan Elmore , Wesley Jones

We propose a compressed sampling and dictionary learning framework for fiber-optic sensing using wavelength-tunable lasers. A redundant dictionary is generated from a model for the reflected sensor signal. Imperfect prior knowledge is…

统计方法学 · 统计学 2017-06-13 Christian Weiss , Abdelhak M. Zoubir

Co-prime sensing is a sub-Nyquist technique for signal acquisition. Several modifications to the prototype co-prime array have been proposed in the literature. Researchers have also demonstrated low latency estimation. This paper describes…

信号处理 · 电气工程与系统科学 2020-11-24 Usham V. Dias

In this paper a sublinear time algorithm is presented for the reconstruction of functions that can be represented by just few out of a potentially large candidate set of Fourier basis functions in high spatial dimensions, a so-called…

数值分析 · 数学 2020-06-24 Lutz Kämmerer , Felix Krahmer , Toni Volkmer

We consider a distributed compressed sensing scenario where many sensors measure correlated sparse signals and the sensors are connected through a network. Correlation between sparse signals is modeled by a partial common support-set. For…

信息论 · 计算机科学 2015-01-14 Dennis Sundman , Saikat Chatterjee , Mikael Skoglund

The paper considers sparse array design for receive beamforming achieving maximum signal-to-interference plus noise ratio (MaxSINR) for both single point source and multiple point sources, operating in an interference active environment.…

信号处理 · 电气工程与系统科学 2020-01-08 Syed A. Hamza , Moeness G. Amin

The sparse signal processing literature often uses random sensing matrices to obtain performance guarantees. Unfortunately, in the real world, sensing matrices do not always come from random processes. It is therefore desirable to evaluate…

泛函分析 · 数学 2018-03-06 Dustin G. Mixon , Waheed U. Bajwa , Robert Calderbank

The performance of sensor arrays in sensing and wireless communications improves with more elements, but this comes at the cost of increased energy consumption and hardware expense. This work addresses the challenge of selecting $k$ sensor…

机器学习 · 计算机科学 2024-07-30 Spilios Evmorfos , Zhaoyi Xu , Athina Petropulu

Conventional compressed sensing theory assumes signals have sparse representations in a known, finite dictionary. Nevertheless, in many practical applications such as direction-of-arrival (DOA) estimation and line spectral estimation, the…

信息论 · 计算机科学 2014-12-19 Jun Fang , Huiping Duan , Jing Li , Hongbin Li , Rick S. Blum

Direction-of-arrival (DOA) estimation for incoherently distributed (ID) sources is essential in multipath wireless communication scenarios, yet it remains challenging due to the combined effects of angular spread and gain-phase…

信号处理 · 电气工程与系统科学 2025-01-29 He Xu , Tuo Wu , Wei Liu , Maged Elkashlan , Naofal Al-Dhahir , Merouane Debbah , Chau Yuen , Hing Cheung So

In the context of the compressed sensing problem, we propose a new ensemble of sparse random matrices which allow one (i) to acquire and compress a {\rho}0-sparse signal of length N in a time linear in N and (ii) to perfectly recover the…

信息论 · 计算机科学 2013-04-15 Maria Chiara Angelini , Federico Ricci-Tersenghi , Yoshiyuki Kabashima

In this paper, we discuss the development of a sublinear sparse Fourier algorithm for high-dimensional data. In ``Adaptive Sublinear Time Fourier Algorithm" by D. Lawlor, Y. Wang and A. Christlieb (2013), an efficient algorithm with…

数值分析 · 数学 2019-07-02 Bosu Choi , Andrew Christlieb , Yang Wang

In compressed sensing, we wish to reconstruct a sparse signal $x$ from observed data $y$. In sparse coding, on the other hand, we wish to find a representation of an observed signal $y$ as a sparse linear combination, with coefficients $x$,…

计算机视觉与模式识别 · 计算机科学 2013-11-25 Will Landecker , Rick Chartrand , Simon DeDeo

Fluid antenna system (FAS), which continuously repositions a single physical element across a deployment region $[0, D]$, breaks this limit by freeing antenna positions from the discrete grid entirely. This paper establishes the theoretical…

信号处理 · 电气工程与系统科学 2026-05-20 Tuo Wu , Jie Tang , Ye Tian , Cheng Zeng , Matthew C. Valenti , Hing Cheung So

Recent advancements in Deep Learning (DL) for Direction of Arrival (DOA) estimation have highlighted its superiority over traditional methods, offering faster inference, enhanced super-resolution, and robust performance in low…

信号处理 · 电气工程与系统科学 2024-05-07 Ruxin Zheng , Shunqiao Sun , Hongshan Liu , Honglei Chen , Mojtaba Soltanalian , Jian Li

Antenna arrays have many applications in direction-of-arrival (DOA) estimation. Sparse arrays such as nested arrays, super nested arrays, and coprime arrays have large degrees of freedom (DOFs). They can estimate large number of sources…

信号处理 · 电气工程与系统科学 2021-01-12 Saleh A. Alawsh , Ali H. Muqaibel

In this work, we investigate direction finding in the presence of sensor gain uncertainties and directional perturbations for sensor array processing in a multi-frequency scenario. Specifically, we adopt a distributed optimization scheme in…

信号处理 · 电气工程与系统科学 2020-02-27 Martin Brossard , Virginie Ollier , Mohammed Nabil El Korso , Rémy Boyer , Pascal Larzabal

For a sound field observed on a sensor array, compressive sensing (CS) reconstructs the direction-of-arrival (DOA) of multiple sources using a sparsity constraint. The DOA estimation is posed as an underdetermined problem by expressing the…

统计理论 · 数学 2023-07-19 Peter Gerstoft , Angeliki Xenaki , Christoph F. Mecklenbräuker