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A covariance matrix estimator using two bits per entry was recently developed by Dirksen, Maly and Rauhut [Annals of Statistics, 50(6), pp. 3538-3562]. The estimator achieves near minimax rate for general sub-Gaussian distributions, but…

Machine Learning · Statistics 2024-11-12 Junren Chen , Michael K. Ng

We consider the classical problem of estimating the covariance matrix of a subgaussian distribution from i.i.d. samples in the novel context of coarse quantization, i.e., instead of having full knowledge of the samples, they are quantized…

Information Theory · Computer Science 2022-04-25 Sjoerd Dirksen , Johannes Maly , Holger Rauhut

This paper presents a novel method for estimating the direction of arrival (DOA) for a non-uniform and sparse linear sensor array using the weighted lifted structure low-rank matrix completion. The proposed method uses a single snapshot…

Signal Processing · Electrical Eng. & Systems 2025-07-29 Saeed Razavikia , Mohammad Bokaei , Arash Amini , Stefano Rini , Carlo Fischione

Multi-source localization is an important and challenging technique for multi-talker conversation analysis. This paper proposes a novel supervised learning method using deep neural networks to estimate the direction of arrival (DOA) of all…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-30 Aswin Shanmugam Subramanian , Chao Weng , Shinji Watanabe , Meng Yu , Dong Yu

Massive multiple input multiple output(MIMO)-based fully-digital receive antenna arrays bring huge amount of complexity to both traditional direction of arrival(DOA) estimation algorithms and neural network training, which is difficult to…

Signal Processing · Electrical Eng. & Systems 2023-01-18 Yiwen Chen , Xichao Zhan , Feng Shu

Distorted sensors could occur randomly and may lead to the breakdown of a sensor array system. We consider an array model within which a small number of sensors are distorted by unknown sensor gain and phase errors. With such an array…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Huiping Huang , Qi Liu , Hing Cheung So , Abdelhak M. Zoubir

We consider the problem of direction of arrival (DOA) estimation using a newly proposed structure of non-uniform linear arrays, referred to as co-prime arrays, in this paper. By exploiting the second order statistical information of the…

Information Theory · Computer Science 2015-06-18 Zhao Tan , Yonina C. Eldar , Arye Nehorai

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 directions of arrival (DOA) of plane waves are estimated from multi-snapshot sensor array data using Sparse Bayesian Learning (SBL). The prior source amplitudes is assumed independent zero-mean complex Gaussian distributed with…

Statistics Theory · Mathematics 2016-09-21 Peter Gerstoft , Christoph F. Mecklenbräuker , Angeliki Xenaki

Spectrum sensing and direction of arrival (DOA) estimation have been thoroughly investigated, both separately and as a joint task. Estimating the support of a set of signals and their DOAs is crucial to many signal processing applications,…

Information Theory · Computer Science 2016-04-12 Shahar Stein , Or Yair , Deborah Cohen , Yonina C. Eldar

Subspace based techniques for direction of arrival (DOA) estimation need large amount of snapshots to detect source directions accurately. This poses a problem in the form of computational burden on practical applications. The introduction…

Information Theory · Computer Science 2017-09-28 Abhishek Aich , P. Palanisamy

Many computer vision problems are formulated as the optimization of a cost function. This approach faces two main challenges: (i) designing a cost function with a local optimum at an acceptable solution, and (ii) developing an efficient…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Jayakorn Vongkulbhisal , Fernando De la Torre , João P. Costeira

Direction of Arrival (DOA) estimation of mixed uncorrelated and coherent sources is a long existing challenge in array signal processing. Application of compressive sensing to array signal processing has opened up an exciting class of…

Signal Processing · Electrical Eng. & Systems 2018-09-10 Abhishek Aich , P. Palanisamy

Supervised learning based methods for source localization, being data driven, can be adapted to different acoustic conditions via training and have been shown to be robust to adverse acoustic environments. In this paper, a convolutional…

Audio and Speech Processing · Electrical Eng. & Systems 2019-05-22 Soumitro Chakrabarty , Emanuël A. P. Habets

We address the challenging problem of estimating the directions-of-arrival (DOAs) of multiple off-grid signals using a single snapshot of one-bit quantized measurements. Conventional DOA estimation methods face difficulties in tackling this…

Signal Processing · Electrical Eng. & Systems 2025-10-23 Yunqiao Hu , Shunqiao Sun , Yimin D. Zhang

In this work, we consider direction-of-arrival (DoA) estimation in the presence of extreme noise using Deep Learning (DL). In particular, we introduce a Convolutional Neural Network (CNN) that is trained from mutli-channel data of the true…

Signal Processing · Electrical Eng. & Systems 2021-09-08 Georgios K. Papageorgiou , Mathini Sellathurai , Yonina C. Eldar

Recently, coprime arrays have been in the focus of research because of their potential in exploiting redundancy in spanning large apertures with fewer elements than suggested by theory. A coprime array consists of two uniform linear…

Information Theory · Computer Science 2014-12-16 Zhiyuan Weng , Petar Djuric

Sparse arrays enable resolving more direction of arrivals (DoAs) than antenna elements using non-uniform arrays. This is typically achieved by reconstructing the covariance of a virtual large uniform linear array (ULA), which is then…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Yoav Amiel , Dor H. Shmuel , Nir Shlezinger , Wasim Huleihel

Hybrid Analog and Digital (HAD) architectures provide a cost-effective alternative for large-scale antenna arrays, but accurate Direction-of-Arrival (DoA) estimation remains challenging due to limited digital dimensionality and constrained…

Signal Processing · Electrical Eng. & Systems 2025-09-04 Miguel Rivas-Costa , Carlos Mosquera

This paper introduces SMP-PHAT, which performs direction of arrival (DoA) of sound estimation with a microphone array by merging pairs of microphones that are parallel in space. This approach reduces the number of pairwise cross-correlation…