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Recently, compressive antenna arrays have been considered for DoA estimation with reduced hardware complexity. By utilizing compressive sensing, such arrays employ a linear combining network to combine signals from a larger set of antenna…

Signal Processing · Electrical Eng. & Systems 2018-11-06 Sankalp Pawar , Sebastian Semper , Florian Römer

In this paper, we address the problem of joint direction-of-arrival (DoA) and range estimation using frequency diverse coprime array (FDCA). By incorporating the coprime array structure and coprime frequency offsets, a two-dimensional…

Signal Processing · Electrical Eng. & Systems 2022-06-29 Zihuan Mao , Shengheng Liu , Yimin D. Zhang , Leixin Han , Yongming Huang

Let $O$ be an order in a quadratic number field $K$ with ring of integers $D$, such that the conductor $\mathfrak F = f D$ is a prime ideal of $O$, where $f\in\mathbb Z$ is a prime. We give a complete description of the $\mathfrak…

Commutative Algebra · Mathematics 2018-09-26 Giulio Peruginelli , Paolo Zanardo

This paper investigates polynomial remainder codes with non-pairwise coprime moduli. We first consider a robust reconstruction problem for polynomials from erroneous residues when the degrees of all residue errors are assumed small, namely…

Information Theory · Computer Science 2015-01-05 Li Xiao , Xiang-Gen Xia

A generalized Chinese remainder theorem (CRT) for multiple integers from residue sets has been studied recently, where the correspondence between the remainders and the integers in each residue set modulo several moduli is not known. A…

Information Theory · Computer Science 2015-10-13 Xiaoping Li , Xiang-Gen Xia , Wenjie Wang , Wei Wang

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

This paper proposes a new sparse array geometry for 2-D (azimuth and elevation) DOA (direction-of-arrival) estimation. The proposed array geometry is V-shaped sparse array and it is composed of two linear portions which are crossing each…

Signal Processing · Electrical Eng. & Systems 2020-04-28 Ahmet M. Elbir

Sparse arrays have emerged as a popular alternative to the conventional uniform linear array (ULA) due to the enhanced degrees of freedom (DOF) and superior resolution offered by them. In the passive setting, these advantages are realized…

Signal Processing · Electrical Eng. & Systems 2023-01-05 Pulak Sarangi , Mehmet Can Hucumenoglu , Robin Rajamaki , Piya Pal

The co-prime array is a sub-Nyquist acquisition scheme for the estimation of second order statistics. It cannot generate all the difference values in the co-prime range and hence, one of the sub-array is extended to enable the estimation of…

Signal Processing · Electrical Eng. & Systems 2020-09-02 Usham V. Dias

Compressed sensing magnetic resonance imaging (CS-MRI) heavily relies on the low mutual coherence between the measurement matrix and the sparsity basis. However, under highly accelerated Cartesian undersampling, the severe structural…

Signal Processing · Electrical Eng. & Systems 2026-05-05 Siyuan Feng

In this letter, we propose a new wireless sensing system equipped with a rotatable antenna (RA) array to enhance the sensing performance of a uniform sparse array (USA). To tackle the severe spatial undersampling issues, we propose a novel…

Signal Processing · Electrical Eng. & Systems 2026-05-22 Chengzhi Ye , Ruoyu Zhang , Jincheng Du , Wenyan Ma , Qingqing Wu , Wen Wu , Rui Zhang

Chinese remainder theorem (CRT) is widely applied in cryptography, coding theory, and signal processing. It has been extended to the multidimensional CRT (MD-CRT), which reconstructs an integer vector from its vector remainders modulo…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Guangpu Guo , Xiang-Gen Xia

Extremely large-scale array (XL-array) has emerged as a promising technology to enable near-field communications for achieving enhanced spectrum efficiency and spatial resolution, by drastically increasing the number of antennas. However,…

Information Theory · Computer Science 2026-01-21 Cong Zhou , Changsheng You , Haodong Zhang , Li Chen , Shuo Shi

Co-prime sampling is a strategy for acquiring the signal below the Nyquist rate. The prototype and extended co-prime samplers require two low rate sub-samplers. One of the sub-samplers in the extended co-prime scheme is not utilized for…

Signal Processing · Electrical Eng. & Systems 2021-06-02 Usham V. Dias

The reconstruction of high-dimensional sparse signals is a challenging task in a wide range of applications. In order to deal with high-dimensional problems, efficient sparse fast Fourier transform algorithms are essential tools. The second…

Numerical Analysis · Mathematics 2017-11-15 Lutz Kämmerer , Daniel Potts , Toni Volkmer

The Fourier-based diffraction approach is an established method to extract order and symmetry propertiesfrom a given point set. We want to investigate a different method for planar sets which works in direct spaceand relies on reduction of…

Dynamical Systems · Mathematics 2023-07-19 Tobias Jakobi

Co-prime arrays with compressed inter-element spacing (CACIS) is one of the generalizations of the co-prime array. The inter-element spacing can be varied in this case. The prototype co-prime arrays and nested arrays are a special case of…

Signal Processing · Electrical Eng. & Systems 2020-07-24 Usham V. Dias

Controlling the in-band co-polarization scattering of the antenna while maintaining its radiation performance is crucial for the low observable platform. Thus, this paper studies the in-band co-polarization scattering beam scanning of…

Applied Physics · Physics 2023-09-27 Binchao Zhang , Fan Yang , Shenheng Xu , Maokun Li , Cheng Jin

In estimating frequencies given that the signal waveforms are undersampled multiple times, Xia et. al. proposed to use a generalized version of Chinese remainder Theorem (CRT), where the moduli are $M_1, M_2, \cdots, M_k$ which are not…

Information Theory · Computer Science 2017-09-01 Guangwu Xu

Two-dimensional (2D) fully-addressed arrays can conveniently realize three-dimensional (3D) ultrasound imaging while fully controlled such arrays usually demands thousands of independent channels, which is costly. Sparse array technique…

Signal Processing · Electrical Eng. & Systems 2025-11-27 Xi Zhang , Miguel Bernal , Wei-Ning Lee