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In many practical applications such as direction-of-arrival (DOA) estimation and line spectral estimation, the sparsifying dictionary is usually characterized by a set of unknown parameters in a continuous domain. To apply the conventional…

Information Theory · Computer Science 2015-06-18 Jun Fang , Jing Li , Yanning Shen , Hongbin Li , Shaoqian Li

Recent breakthrough results in compressed sensing (CS) have established that many high dimensional objects can be accurately recovered from a relatively small number of non- adaptive linear projection observations, provided that the objects…

Machine Learning · Statistics 2011-11-30 Akshay Soni , Jarvis Haupt

A unified view of sparse signal processing is presented in tutorial form by bringing together various fields. For each of these fields, various algorithms and techniques, which have been developed to leverage sparsity, are described…

Information Theory · Computer Science 2009-02-12 F. Marvasti , A. Amini , F. Haddadi , M. Soltanolkotabi , B. H. Khalaj , A. Aldroubi , S. Holm , S. Sanei , J. Chambers

One-bit compressive sensing (CS) is an advanced version of sparse recovery in which the sparse signal of interest can be recovered from extremely quantized measurements. Namely, only the sign of each measurement is available to us. In many…

Information Theory · Computer Science 2019-10-22 Hossein Beheshti , Sajad Daei , Farzan Haddadi

Too high sampling rate is the bottleneck to wideband spectrum sensing for cognitive radio (CR). As the survey shows that the sensed signal has a sparse representation in frequency domain in the mass, compressed sensing (CS) can be used to…

Information Theory · Computer Science 2010-05-12 Yipeng Liu , Qun Wan

The theory of compressive sensing (CS) asserts that an unknown signal $\mathbf{x} \in \mathbb{C}^N$ can be accurately recovered from $m$ measurements with $m\ll N$ provided that $\mathbf{x}$ is sparse. Most of the recovery algorithms need…

Methodology · Statistics 2017-10-12 Jianfeng Wang , Zhiyong Zhou , Anders Garpebring , Jun Yu

Compressive sensing has been used to demonstrate scene reconstruction and source localization in a wide variety of devices. To date, optical compressive sensors have not been able to achieve significant volume reduction relative to…

Sparse signal models are in the focus of recent developments in narrowband DOA estimation. Applying these methods to localizing audio sources, however, is challenging due to the wideband nature of the signals. The common approach of…

Sound · Computer Science 2014-03-07 Clemens Hage , Tim Habigt , Martin Kleinsteuber

Sparse wideband sensor array design for sensor location optimisation is highly nonlinear and it is traditionally solved by genetic algorithms, simulated annealing or other similar optimization methods. However, this is an extremely…

Information Theory · Computer Science 2014-03-20 Matthew B. Hawes , Wei Liu

This paper investigates the problem of direction-of-arrival (DOA) estimation using multiple partially-calibrated sparse subarrays. In particular, we present the Generalized Coarray Multiple Signal Classification (GCA-MUSIC) DOA estimation…

Machine Learning · Computer Science 2024-08-07 W. S. Leite , R. C. de Lamare

Single-snapshot signal processing in sparse linear arrays has become increasingly vital, particularly in dynamic environments like automotive radar systems, where only limited snapshots are available. These arrays are often utilized either…

Signal Processing · Electrical Eng. & Systems 2025-01-14 Ruxin Zheng , Shunqiao Sun , Hongshan Liu , Yimin D. Zhang

We provide two novel adaptive-rate compressive sensing (CS) strategies for sparse, time-varying signals using side information. Our first method utilizes extra cross-validation measurements, and the second one exploits extra low-resolution…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Garrett Warnell , Sourabh Bhattacharya , Rama Chellappa , Tamer Basar

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…

Signal Processing · Electrical Eng. & Systems 2020-12-09 Qi Zhang , Jiang Zhu , Yuantao Gu , Zhiwei Xu

Direction of arrival (DOA) estimation employing low-resolution analog-to-digital convertors (ADCs) has emerged as a challenging and intriguing problem, particularly with the rise in popularity of large-scale arrays. The substantial…

Signal Processing · Electrical Eng. & Systems 2024-01-05 Junkai Ji , Wei Mao , Feng Xi , Shengyao Chen

In oversampled adaptive sensing (OAS), noisy measurements are collected in multiple subframes. The sensing basis in each subframe is adapted according to some posterior information exploited from previous measurements. The framework is…

Information Theory · Computer Science 2019-12-11 Ali Bereyhi , Ralf R. Müller

To obtain the best resolution for any measurement there is an ever-present challenge to achieve maximal differentiation between signal and noise over as fine of sampling dimensions as possible. In diffraction science these issues are…

Instrumentation and Detectors · Physics 2023-10-23 James Weng , Niklas B. Thompson , Christopher Folmar , James D. Martin , Christina Hoffman

An appealing requirement from the well-known diffraction tomography (DT) exists for success reconstruction from few-view and limited-angle data. Inspired by the well-known compressive sensing (CS), the accurate super-resolution…

Computational Engineering, Finance, and Science · Computer Science 2009-04-20 Lianlin Li , Wenji Zhang , Fang Li

This paper proposes efficient algorithms for accurate recovery of direction-of-arrival (DoA) of sources from single-snapshot measurements using compressed beamforming (CBF). In CBF, the conventional sensor array signal model is cast as an…

Methodology · Statistics 2018-05-22 Muhammad Naveed Tabassum , Esa Ollila

The Compressive Sensing (CS) framework aims to ease the burden on analog-to-digital converters (ADCs) by reducing the sampling rate required to acquire and stably recover sparse signals. Practical ADCs not only sample but also quantize each…

Information Theory · Computer Science 2015-11-04 Laurent Jacques , Jason N. Laska , Petros T. Boufounos , Richard G. Baraniuk

In this letter, we propose a joint frequency-space sparse reconstruction method for direction-of-arrival (DOA) estimation, which effectively addresses the issues arising from the existence of coherent sources and array amplitude-phase…

Signal Processing · Electrical Eng. & Systems 2025-09-05 Yutong Chen , Cong Zhou , Changsheng You , Shuo Shi
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