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Compressive sampling (CoSa) is a new methodology which demonstrates that sparse signals can be recovered from a small number of linear measurements. Greedy algorithms like CoSaMP have been designed for this recovery, and variants of these…

Numerical Analysis · Mathematics 2014-07-28 Raja Giryes , Deanna Needell

Waves from a sparse set of source hidden in additive noise are observed by a sensor array. We treat the estimation of the sparse set of sources as a generalized complex-valued LASSO problem. The corresponding dual problem is formulated and…

Statistics Theory · Mathematics 2015-09-03 Christoph F. Mecklenbräuker , Peter Gerstoft , Erich Zöchmann

In this paper, we present coherence-based performance guarantees of Orthogonal Matching Pursuit (OMP) for both support recovery and signal reconstruction of sparse signals when the measurements are corrupted by noise. In particular, two…

Statistics Theory · Mathematics 2012-09-28 Yuejie Chi , Robert Calderbank

In this paper, an improved direction-of-arrival (DOA) estimation algorithm for circular and non-circular signals is proposed. Most state-of-the-art algorithms only deal with the DOA estimation problem for the maximal non-circularity rated…

Information Theory · Computer Science 2016-04-07 Liangtian Wan , Lihua Xie

We present a compressive radar design that combines multitone linear frequency modulated (LFM) waveforms in the transmitter with a classical stretch processor and sub-Nyquist sampling in the receiver. The proposed compressive illumination…

Information Theory · Computer Science 2022-04-13 Nithin Sugavanam , Siddharth Baskar , Emre Ertin

We focus on developing an effective Direction Of Arrival (DOA) estimation method for wideband sources based on the gridless sparse concept. Previous coherent methods have been designed by dividing wideband frequencies into a few subbands…

Signal Processing · Electrical Eng. & Systems 2021-03-05 Milad Javadzadeh Jirhandeh , Mohammad Hossein Kahae

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…

Signal Processing · Electrical Eng. & Systems 2025-01-29 He Xu , Tuo Wu , Wei Liu , Maged Elkashlan , Naofal Al-Dhahir , Merouane Debbah , Chau Yuen , Hing Cheung So

Orthogonal matching pursuit (OMP) is a greedy algorithm widely used for the recovery of sparse signals from compressed measurements. In this paper, we analyze the number of iterations required for the OMP algorithm to perform exact recovery…

Information Theory · Computer Science 2016-02-23 Jian Wang , Byonghyo Shim

This paper proposes a compressed sensing-based high-resolution direction-of-arrival estimation method called gradient orthogonal matching pursuit (GOMP). It contains two main steps: a sparse coding approximation step using the well-known…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Khaled Ardah , Martin Haardt

We investigate the problem of sparse target detection from widely distributed multistatic \textit{Frequency Modulated Continuous Wave} (FMCW) radar systems (using chirp modulation). Unlike previous strategies (\emph{e.g.}, developed for…

Signal Processing · Electrical Eng. & Systems 2020-01-03 Gilles Monnoyer de Galland , Thomas Feuillen , Laurent Jacques , Luc Vandendorpe

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

To achieve high range resolution profile (HRRP), the geometric theory of diffraction (GTD) parametric model is widely used in stepped-frequency radar system. In the paper, a fast synthetic range profile algorithm, called orthogonal matching…

Information Theory · Computer Science 2012-06-12 Rong Fan , Qun Wan , Xiao Zhang , Hui Chen , Yipeng Liu

This paper investigates the sparse channel estimation for holographic multiple-input multiple-output (HMIMO) systems. Given that the wavenumber-domain representation is based on a series of Fourier harmonics that are in essence a series of…

Signal Processing · Electrical Eng. & Systems 2024-06-14 Yuqing Guo , Yuanbin Chen , Ying Wang

An approach to the estimation of the Direction of Arrival (DOA) of wide-band signals with a planar microphone array is presented. Our algorithm estimates an unambiguous DOA using a single planar array in which the microphones are placed…

Sound · Computer Science 2018-11-19 Rudolf Byker , Thomas Niesler

Radar-based perception has gained increasing attention in autonomous driving, yet the inherent sparsity of radars poses challenges. Radar raw data often contains excessive noise, whereas radar point clouds retain only limited information.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-16 Jialong Wu , Mirko Meuter , Markus Schoeler , Matthias Rottmann

This paper studies spatial smoothing using sparse arrays in single-snapshot Direction of Arrival (DOA) estimation. We consider the application of automotive MIMO radar, which traditionally synthesizes a large uniform virtual array by…

Signal Processing · Electrical Eng. & Systems 2024-01-15 Yinyan Bu , Robin Rajamäki , Pulak Sarangi , Piya Pal

This paper presents an optimization-based behavioral model for mixers driven by multi-tone local oscillator (LO) signals, considered specifically for frequency comb orthogonal frequency-division multiplexing radar applications. Unlike…

Signal Processing · Electrical Eng. & Systems 2026-03-02 Umut Utku Erdem , Henning Poensgen , Taewon Jeong , Lucas Giroto , Benjamin Nuss , Ibrahim Kagan Aksoyak , Ahmet Cagri Ulusoy , Thomas Zwick

Common ISAR radar images and signals can be reconstructed from much fewer samples than the sampling theorem requires since they are usually sparse. Unavailable randomly positioned samples can result from heavily corrupted parts of the…

Information Theory · Computer Science 2016-11-17 Ljubisa Stankovic

A novel sparse array synthesis method for non-uniform planar arrays is proposed, which belongs to compressive sensing (CS)-based systhesis. Particularly, we propose an off-grid refinement technique to simultaneously optimize the antenna…

Signal Processing · Electrical Eng. & Systems 2022-07-29 Songjie Yang , Baojuan Liu , Zhiqin Hong , Zhongpei Zhang

Direction of arrival (DOA) estimation in array processing using uniform/sparse linear arrays is concerned in this paper. While sparse methods via approximate parameter discretization have been popular in the past decade, the discretization…

Information Theory · Computer Science 2014-10-24 Zai Yang , Lihua Xie , Cishen Zhang