Nested Arrays: A Novel Approach to Array Processing With Enhanced Degrees of Freedom

By Piya Pal, P. Vaidyanathan. IEEE Transactions on Signal Processing, 2010

1,908 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Signal Processing

View Paper: https://www.semanticscholar.org/paper/6b4745b8de737e8abfb42ac0663b2b47d65e9640

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Citations in the corpus

Enabling Large Intelligent Surfaces With Compressive Sensing and Deep Learning (2019, background): “Therefore, it is interesting to explore the optimization of the active element selection, leveraging tools from nested arrays [37], co-prime arrays [38], [39], incoherence frames [40], and difference sets [33], [41].”
A Survey of Sound Source Localization with Deep Learning Methods (2021, neutral): “We do not detail those papers as well, since we focus on SSL in real-world reverberant environments.”
Remarks on the Spatial Smoothing Step in Coarray MUSIC (2015, methodology): “In this paper, we will show that spatial smoothing is not needed even to implement the MUSIC algorithm in the coarray domain.”
Direction of Arrival Estimation Using Co-Prime Arrays: A Super Resolution Viewpoint (2013, background): “Traditional sparsity based recovery discretizes the range of interest into a grid.”
Integrated Sensing and Communications: Recent Advances and Ten Open Challenges (2023, background): “One of the typical sparse array geometries is the nested array [100], which consists of a dense ULA with separation 1 (in unit of λ/ 2 ) , and a sparse ULA with sensor separation of ( N 1 + 1 ) .”
Sparse Sensing With Co-Prime Samplers and Arrays (2011, methodology): “Since the cross-difference co-array includes all the self differences, The freedom in the difference co-array of a co-prime pair is smaller than that obtained with the so-called nested array [16] (reviewed in Section IV).”
Augmented Nested Arrays With Enhanced DOF and Reduced Mutual Coupling (2017, background): “According to [9], [10], [20], Rxx can be vectorized into a long vector”
Coprime sampling and the music algorithm (2011, methodology): “In [3], the idea of nested antenna arrays was introduced whose difference co-array can achieve 2 MN + 1 degrees of freedom using only M + N suitably placed sensors.”
Sparsity-based DOA estimation using co-prime arrays (2013, background): “Nested arrays [4], which are obtained by combining two or more uniform linear arrays (ULAs) with ascending inter-element spacing, is another exciting approach for increasing array DOFs.”
Super Nested Arrays: Linear Sparse Arrays With Reduced Mutual Coupling—Part I: Fundamentals (2016, methodology): “1D representations of (a) nested arrays and (b) coprime arrays. and N 2 have the same meaning as in [16]; also see Fig.”
Coarrays, MUSIC, and the Cramér–Rao Bound (2016, methodology): “Following the results in [9] and [20], Rv1 and Rv2 are related via the following equality:”
Deep Networks for Direction-of-Arrival Estimation in Low SNR (2020, background): “underdetermined case, where the number of sources is equal or greater than the number of sensors [2], [3].”
Generalized Coprime Array Configurations for Direction-of-Arrival Estimation (2015, background): “The nested array [9], which is obtained by combining two uniform linear subarrays, in which one subarray has a unit inter-element spacing, can resolve sources with sensors.”