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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 address the problem of direction finding using coprime array, which is one of the most preferred sparse array configurations. Motivated by the fact that non-uniform element spacing hinders full utilization of the…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Shengheng Liu , Zihuan Mao , Yimin D. Zhang , Yongming Huang

We propose a generalized formulation of direction of arrival estimation that includes many existing methods such as steered response power, subspace, coherent and incoherent, as well as speech sparsity-based methods. Unlike most…

Signal Processing · Electrical Eng. & Systems 2021-06-03 Robin Scheibler , Masahito Togami

Ultrasound imaging is widely applied in clinical practice, yet ultrasound videos often suffer from low signal-to-noise ratios (SNR) and limited resolutions, posing challenges for diagnosis and analysis. Variations in equipment and…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Chu Chen , Kangning Cui , Pasquale Cascarano , Wei Tang , Elena Loli Piccolomini , Raymond H. Chan

Despite many advantages of direction-of-arrivals (DOAs) in sparse representation domain, they have high computational complexity. This paper presents a new method for real-valued 2-D DOAs estimation of sources in a uniform circular array…

Signal Processing · Electrical Eng. & Systems 2024-04-10 Zavareh Bozorgasl , Mohammad Javad Dehghani

Diffuse Optical Tomography (DOT) is an emerging technology in medical imaging which employs light in the NIR spectrum to estimate the distribution of optical coefficients in biological tissues for diagnostic and monitoring purposes. DOT…

Numerical Analysis · Mathematics 2022-05-27 Alessandro Benfenati , Giuseppe Bisazza , Paola Causin

Discriminative features extracted from the sparse coding model have been shown to perform well for classification. Recent deep learning architectures have further improved reconstruction in inverse problems by considering new dense priors…

Information Theory · Computer Science 2026-03-27 Abiy Tasissa , Emmanouil Theodosis , Bahareh Tolooshams , Demba Ba

ESA's PROBA-V Earth observation satellite enables us to monitor our planet at a large scale, studying the interaction between vegetation and climate and provides guidance for important decisions on our common global future. However, the…

Computer Vision and Pattern Recognition · Computer Science 2019-07-04 Marcus Märtens , Dario Izzo , Andrej Krzic , Daniël Cox

Sparse signal reconstruction algorithms have attracted research attention due to their wide applications in various fields. In this paper, we present a simple Bayesian approach that utilizes the sparsity constraint and a priori statistical…

Statistics Theory · Mathematics 2015-06-05 Ahmed A. Quadeer , Tareq Y. Al-Naffouri

Direction of arrival (DOA) estimation is mostly performed using specialized arrays that have carefully designed receiver spacing and layouts to match the operating frequency range. In contrast, radio interferometric arrays are designed to…

Instrumentation and Methods for Astrophysics · Physics 2025-12-23 Sarod Yatawatta

The direction of arrival (DOA) estimation algorithms are crucial in localizing acoustic sources. Traditional localization methods rely on block-level processing to extract the directional information from multiple measurements processed…

Audio and Speech Processing · Electrical Eng. & Systems 2023-08-15 Ruchi Pandey , Santosh Nannuru

In the practical radar with multiple antennas, the antenna imperfections degrade the system performance. In this paper, the problem of estimating the direction of arrival (DOA) in multiple-input and multiple-output (MIMO) radar system with…

Signal Processing · Electrical Eng. & Systems 2022-03-22 Peng Chen , Zhenxin Cao , Zhimin Chen , Xianbin Wang

Conventional algorithms for sparse signal recovery and sparse representation rely on $l_1$-norm regularized variational methods. However, when applied to the reconstruction of $\textit{sparse images}$, i.e., images where only a few pixels…

Computer Vision and Pattern Recognition · Computer Science 2016-05-09 Sohil Shah , Tom Goldstein , Christoph Studer

We introduce SparseNeuS, a novel neural rendering based method for the task of surface reconstruction from multi-view images. This task becomes more difficult when only sparse images are provided as input, a scenario where existing neural…

Computer Vision and Pattern Recognition · Computer Science 2022-08-03 Xiaoxiao Long , Cheng Lin , Peng Wang , Taku Komura , Wenping Wang

Direction of arrival estimation (DoAE) aims at tracking a sound in azimuth and elevation. Recent advancements include data-driven models with inputs derived from ambisonics intensity vectors or correlations between channels in a microphone…

Sound · Computer Science 2024-01-18 Adrian S. Roman , Iran R. Roman , Juan P. Bello

Direction-of-arrival (DoA) is a critical parameter in wireless channel estimation. With the ever-increasing requirement of high data rate and ubiquitous devices in wireless communication systems, effective wideband DoA estimation is…

Signal Processing · Electrical Eng. & Systems 2023-11-21 Xiaorui Ding , Wenbo Xu , Yue Wang

Nonlinear parametric inverse problems appear in many applications. Here, we focus on diffuse optical tomography (DOT) in medical imaging to recover unknown images of interest, such as cancerous tissue in a given medium, using a mathematical…

Numerical Analysis · Mathematics 2020-07-14 Selin Aslan , Eric de Sturler , Serkan Gugercin

Tomographic image reconstruction can be mapped to a problem of finding solutions to a large system of linear equations which maximize a function that includes \textit{a priori} knowledge regarding features of typical images such as…

Image and Video Processing · Electrical Eng. & Systems 2019-10-02 Anna Paola Muntoni , Rafael Díaz Hernández Rojas , Alfredo Braunstein , Andrea Pagnani , Isaac Pérez Castillo

In this letter, we investigate a new generalized double Pareto based on off-grid sparse Bayesian learning (GDPOGSBL) approach to improve the performance of direction of arrival (DOA) estimation in underdetermined scenarios. The method aims…

Signal Processing · Electrical Eng. & Systems 2024-05-20 Yongfeng Huang , Zhendong Chen , Kun Ye , Lang Zhou , Haixin Sun

The problem of off-grid direction-of-arrival (DOA) estimation is investigated. We develop a grid-based method to jointly estimate the closest spatial frequency (the sine of DOA) grids, and the gaps between the estimated grids and the…

Signal Processing · Electrical Eng. & Systems 2022-03-01 Huiping Huang , Hing Cheung So , Abdelhak M. Zoubir