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Related papers: A Highly Robust Sparse Fractal Array

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Plasma fractals is a technique to generate random and realistic clouds, textures and terrains~-- traditionally using recursive subdivision. We demonstrate a new approach, based on iterative expansion. It gives a family of algorithms that…

Graphics · Computer Science 2022-12-26 Oleg Kiselyov , Toshihiro Nakayama

A coprime antenna array consists of two or more sparse subarrays featuring enhanced degrees of freedom (DOF) and reduced mutual coupling. This paper introduces a new class of planar coprime arrays, based on the theory of ideal lattices. In…

Signal Processing · Electrical Eng. & Systems 2019-04-30 Conghui Li , Lu Gan , Cong Ling

The fractal dimension provides a statistical index of object complexity by studying how the pattern changes with the measuring scale. Although useful in several classification tasks, the fractal dimension is under-explored in deep learning…

Machine Learning · Computer Science 2024-01-10 Julia El Zini , Bassel Musharrafieh , Mariette Awad

In the phased-array radar (PAR) signals from each antenna are transmitted at the same carrier frequency, which yields narrowly focused only angle dependent beampattern. In contrast, in the frequency-diverse-array (FDA) radar signals from…

Signal Processing · Electrical Eng. & Systems 2020-06-24 Muhammad Zubair , Sajid Ahmed , Mohamed-Slim Alouini

Cognitive radio is a potential solution to meet the upcoming spectrum crunch issue. In a cognitive radio, spectrum holes can be identified using spectrum sensing techniques. A high resolution spectrum hole detection can ensure even the…

Signal Processing · Electrical Eng. & Systems 2022-07-05 Sushmitha Sajeevu , Sakthivel Vellaisamy

Precise analyses of the statistical and scaling properties of galaxy distribution are essential to elucidate the large-scale structure of the universe. Given the ongoing debate on its statistical features, the development of statistical…

Astrophysics · Physics 2007-05-23 M. Bottaccio , M. Montuori , L. Pietronero

A semi-coprime array (SCA) interleaves two undersampled uniform linear arrays (ULAs) and a $Q$ element standard ULA. The undersampling factors of the first two arrays are $QM$ and $QN$ respectively where $M$ and $N$ are coprime. The…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Kaushallya Adhikari

In the first part of the series papers, we set out to answer the following question: given specific restrictions on a set of samplers, what kind of signal can be uniquely represented by the corresponding samples attained, as the foundation…

Information Theory · Computer Science 2021-08-25 Hanshen Xiao , Yaowen Zhang , Guoqiang Xiao

Sparse sensor array selection arises in many engineering applications, where it is imperative to obtain maximum spatial resolution from a limited number of array elements. Recent research shows that computational complexity of array…

Signal Processing · Electrical Eng. & Systems 2020-06-03 Ahmet M. Elbir , Kumar Vijay Mishra

In this paper we investigate the design of compressive antenna arrays for direction of arrival (DOA) estimation that aim to provide a larger aperture with a reduced hardware complexity by a linear combination of the antenna outputs to a…

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

We establish properties of a new type of fractal which has partial self similarity at all scales. For any collection of iterated functions systems with an associated probability distribution and any positive integer V there is a…

Dynamical Systems · Mathematics 2008-02-04 Michael Barnsley , John E. Hutchinson , Örjan Stenflo

New constraints based on practical hardware are introduced in compressive sensing (CS) based rectangular antenna array thinning technique. In a standard CS array sparsity enforcement, antenna elements are considered as ideal point sources…

Signal Processing · Electrical Eng. & Systems 2019-07-23 M. Ali Babar Abbasi , Vincent F. Fusco

Estimating the directions of arrival (DOAs) of multiple sources from a single snapshot obtained by a coherent antenna array is a well-known problem, which can be addressed by sparse signal reconstruction methods, where the DOAs are…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Tom Tirer , Oded Bialer

This article is devoted to sets having the Moran structure. The main attention is given to topological, metric, and fractal properties of certain sets whose elements have restrictions on using digits or combinations of digits in own…

Classical Analysis and ODEs · Mathematics 2022-06-29 Symon Serbenyuk

Our main goal in this long survey article is to provide an overview of the theory of complex fractal dimensions and of the associated geometric or fractal zeta functions, first in the case of fractal strings (one-dimensional drums with…

Mathematical Physics · Physics 2018-09-27 Michel L. Lapidus

The functional relation between the fractional band-width and the quality factor of a radiating system is investigated in this note. Several widely used definitions of the quality factor are compared on two examples of RLC circuits that…

Classical Physics · Physics 2016-10-26 Miloslav Capek , Lukas Jelinek , Pavel Hazdra

Two-fold redundant sparse arrays (TFRAs) are designed to maintain accurate direction estimation even in the event of a single sensor failure, leveraging the deliberate coarray redundancy infused into their design. Robust Minimum Redundancy…

Signal Processing · Electrical Eng. & Systems 2025-07-16 Pradyumna Kunchala , Ashish Patwari

Matrices and more generally multidimensional arrays, form the backbone of computational studies. In this paper we demonstrate increases in computational efficiency by performing partial-tracing/tensor-contractions on sparse-arrays. It was…

Data Structures and Algorithms · Computer Science 2023-03-21 Julio Candanedo

The design of low-profile linear microstrip arrays with wide-band spatial filtering capabilities is dealt with. An innovative architecture, leveraging the angular selectivity of offset stacked patch (OSP) radiators, is proposed to implement…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Arianna Benoni , Marco Salucci , Andrea Massa