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Minkowski-Algebra-Based Super-Sparse Array Design for Super-Resolution Ultrasound Imaging

Mahurkar, AG and Seelamantula, CS (2020) Minkowski-Algebra-Based Super-Sparse Array Design for Super-Resolution Ultrasound Imaging. In: IEEE Signal Processing Letters, 27 . pp. 1060-1064.

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Official URL: https://doi.org/10.1109/LSP.2020.2997303


Sparse arrays give rise to the possibility of miniaturization of sensor arrays for ultrasound imaging. The design of sparse arrays that preserves the full-array beampattern has received much attention in the recent past. Based on the transmit/receive pair array synthesis model proposed by Hoctor and Kassam, issues related to producing effective apertures twice their corresponding physical arrays have been addressed. We consider two sparse array designs - SCOBA and SCOBAR - proposed recently and investigate the sparsity of their acquisition apertures and sub-apertures. We constructively formulate the problem of designing sparse arrays using fundamental properties from Minkowski algebra. Our investigation leads to two novel super-sparse array designs, which are sparser than SCOBA and SCOBAR and computationally more efficient for performing convolutional beamforming. They also have identical beampatterns and consequently similar lateral resolution as SCOBA and SCOBAR. We substantiate our findings using Field-II simulations. © 1994-2012 IEEE.

Item Type: Journal Article
Publication: IEEE Signal Processing Letters
Publisher: Institute of Electrical and Electronics Engineers Inc.
Additional Information: The copyright for this article belongs to Institute of Electrical and Electronics Engineers Inc.
Keywords: Algebra, Array synthesis; Effective aperture; Fundamental properties; Lateral resolution; Sparse arrays; Sub-apertures; Super resolution; Ultrasound imaging, Ultrasonic imaging
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 07 Feb 2023 11:18
Last Modified: 07 Feb 2023 11:18
URI: https://eprints.iisc.ac.in/id/eprint/80032

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