DOA Estimation for Nested Array from Reusing Redundant Virtual Array Elements Viewpoint

Zhan, Chenghong; Hu, Guoping; Zhang, Zixin; Zhang, Yule; Yue, Shijie

doi:10.1109/icicn51133.2020.9205070

Cited by 1 publication

(2 citation statements)

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“…The best-known and fundamental sparse geometry is the nested array (NA) [10], which acquires hole-free lags in the yielding difference co-array, thereby promoting the application and development of the subspace-based techniques [10,[15][16][17]. Afterwards, extensive efforts have been devoted to enhancing the attainable number of uniform DOFs (uDOFs).…”

Section: Introductionmentioning

confidence: 99%

“…Although various approaches, such as compressed sensing (CS) [31], virtual array interpolation [32,33] and sensor array motions [34,35], have been proposed to solve this problem, CS and virtual array interpolation bear a huge computational burden, and sensor array motions require a quasi-stationarity environment where the source locations are considered invariant over array motion of half wavelength or multiples half wavelength. Therefore, the subspace-based techniques such as [10,[15][16][17] are still the most direct and efficient estimation algorithms.…”

Section: Introductionmentioning

confidence: 99%

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Hole-Free Nested Array with Three Sub-ULAs for Direction of Arrival Estimation

Zhang

Zhou

et al. 2023

Sensors

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Sparse arrays are of deep concern due to their ability to identify more sources than the number of sensors, among which the hole-free difference co-array (DCA) with large degrees of freedom (DOFs) is a topic worth discussing. In this paper, we propose a novel hole-free nested array with three sub-uniform line arrays (NA-TS). The one-dimensional (1D) and two-dimensional (2D) representations demonstrate the detailed configuration of NA-TS, which indicates that both nested array (NA) and improved nested array (INA) are special cases of NA-TS. We subsequently derive the closed-form expressions for the optimal configuration and the available number of DOFs, concluding that the DOFs of NA-TS is a function of the number of sensors and the number of the third sub-ULA. The NA-TS possesses more DOFs than several previously proposed hole-free nested arrays. Finally, the superior direction of arrival (DOA) estimation performance based on the NA-TS is supported by numerical examples.

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