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This paper presents an efficient optimization technique for super-resolution two-dimensional (2D) direction of arrival (DOA) estimation by introducing a new formulation of atomic norm minimization (ANM). ANM allows gridless angle estimation…

Signal Processing · Electrical Eng. & Systems 2022-04-27 Zhi Tian , Zhe Zhang , Yue Wang

Motivated by recent work on two dimensional (2D) harmonic component recovery via atomic norm minimization (ANM), a fast 2D direction of arrival (DOA) off-grid estimation based on ANM method was proposed. By introducing a matrix atomic norm…

Signal Processing · Electrical Eng. & Systems 2018-07-24 Jian Pan , Jun Tang , Yong Niu

Atomic norm minimization (ANM) has been extensively applied for gridless angle estimation. However, with the increase of the number of antennas and the communication frequencies in massive MIMO systems, the accompanying beam squint effect…

Signal Processing · Electrical Eng. & Systems 2026-05-05 An Chen , Wenbo Xu

The recently introduced atomic norm minimization (ANM) framework for parameter estimation is a promising candidate towards low overhead channel estimation in wireless communications. However, previous works on ANM-based channel estimation…

Information Theory · Computer Science 2018-09-05 Stelios Stefanatos , Mahdi Barzegar Khalilsarai , Gerhard Wunder

The area of spectral analysis has a traditional dichotomy between continuous spectra (spectral densities) which correspond to purely nondeterministic processes, and line spectra (Dirac impulses) which represent sinusoids. While the former…

Signal Processing · Electrical Eng. & Systems 2025-09-09 Bin Zhu , Jiale Tang

This paper is concerned with estimating unknown multi-dimensional frequencies from linear compressive measurements. This is accomplished by employing the recently proposed atomic norm minimization framework to recover these frequencies…

Signal Processing · Electrical Eng. & Systems 2018-11-07 Sebastian Semper , Florian Römer

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

Information Theory · Computer Science 2015-07-24 Yuanxin Li , Yuejie Chi

Atomic norm minimization (ANM) is a key approach for line spectral estimation (LSE). Most related algorithms formulate ANM as a semidefinite programming (SDP), which incurs high computational cost. In this letter, we revisit the ANM problem…

Optimization and Control · Mathematics 2024-11-14 Xiaozhi Liu , Jinjiang Wei , Yong Xia

Synthetic aperture radar (SAR) tomography (TomoSAR) enables the reconstruction and three-dimensional (3D) localization of targets based on multiple two-dimensional (2D) observations of the same scene. The resolving along the elevation…

Signal Processing · Electrical Eng. & Systems 2022-04-27 Silin Gao , Zhe Zhang , Bingchen Zhang , Yirong Wu

Two-dimensional (2D) materials have attracted extensive attention due to their unique characteristics and application potentials. Raman spectroscopy, as a rapid and non-destructive probe, exhibits distinct features and holds notable…

Applied Physics · Physics 2023-12-05 Yaping Qi , Dan Hu , Zhenping Wu , Ming Zheng , Guanghui Cheng , Yucheng Jiang , Yong P. Chen

The line spectral estimation problem consists in recovering the frequencies of a complex valued time signal that is assumed to be sparse in the spectral domain from its discrete observations. Unlike the gridding required by the classical…

Information Theory · Computer Science 2021-10-18 Maxime Ferreira Da Costa , Wei Dai

Recent research in off-the-grid compressed sensing (CS) has demonstrated that, under certain conditions, one can successfully recover a spectrally sparse signal from a few time-domain samples even though the dictionary is continuous. In…

Information Theory · Computer Science 2013-12-03 Weiyu Xu , Jian-Feng Cai , Kumar Vijay Mishra , Myung Cho , Anton Kruger

This paper is concerned with the fundamental problem of estimating chirp parameters from a mixture of linear chirp signals. Unlike most previous methods, which solve the problem by discretizing the parameter space and then estimating the…

Signal Processing · Electrical Eng. & Systems 2025-03-20 Dehui Yang , Feng Xi

We consider joint channel estimation and faulty antenna detection for massive multiple-input multiple-output (MIMO) systems operating in time-division duplexing (TDD) mode. For systems with faulty antennas, we show that the impact of faulty…

Information Theory · Computer Science 2017-09-21 Peng Zhang , Lu Gan , Cong Ling , Sumei Sun

With the leaping advances in autonomous vehicles and transportation infrastructure, dual function radar-communication (DFRC) systems have become attractive due to the size, cost and resource efficiency. A frequency modulated continuous…

Signal Processing · Electrical Eng. & Systems 2024-03-29 Mengjiang Sun , Peng Chen , Zhenxin Cao , Fei Shen

Channel estimation is a critical task in extremely large-scale multiple-input multiple-output (XL-MIMO) systems for 6G wireless communications. A hybrid-field channel model effectively characterizes the mixed far-field and near-field…

Information Theory · Computer Science 2025-09-24 Dehui Yang , Feng Xi , Yanxian Zhu

This paper focuses on the gridless direction-of-arrival (DoA) estimation for data acquired by non-uniform linear arrays (NLAs) in automotive applications. Atomic norm minimization (ANM) is a promising gridless sparse recovery algorithm…

Signal Processing · Electrical Eng. & Systems 2023-03-09 Silin Gao , Zhe Zhang , Muhan Wang , Yan Zhang , Jie Zhao , Bingchen Zhang , Yue Wang , Yirong Wu

This paper proposes a novel approach for line spectral estimation which combines Georgiou's filter bank (G-filter) with atomic norm minimization (ANM). A key ingredient is a Carath\'{e}odory--Fej\'{e}r-type decomposition for the covariance…

Signal Processing · Electrical Eng. & Systems 2024-10-17 Bin Zhu , Jiale Tang

This work investigates the parameter estimation performance of super-resolution line spectral estimation using atomic norm minimization. The focus is on analyzing the algorithm's accuracy of inferring the frequencies and complex magnitudes…

Information Theory · Computer Science 2018-10-24 Qiuwei Li , Gongguo Tang

Line spectral estimation theory aims to estimate the off-the-grid spectral components of a time signal with optimal precision. Recent results have shown that it is possible to recover signals having sparse line spectra from few temporal…

Information Theory · Computer Science 2017-01-31 Maxime Ferreira Da Costa , Wei Dai
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