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Manifold Optimization for High Accuracy Spatial Location Estimation Using Ultrasound Waves

AlSharif, Mohammed H. and Douik, Ahmed and Ahmed, Mohanad and Al-Naffouri, Tareq Y. and Hassibi, Babak (2021) Manifold Optimization for High Accuracy Spatial Location Estimation Using Ultrasound Waves. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210414-080100426

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Abstract

This paper designs a high accuracy spatial location estimation method using ultrasound waves by exploiting the fixed geometry of the transmitters. Assuming an equilateral triangle antenna configuration, where three antennas are placed as the vertices of an equilateral triangle, the spatial location problem can be formulated as a non-convex optimization problem whose interior is shown to admit a Riemannian manifold structure. The investigation of the geometry of the newly introduced manifold, i.e. the manifold of all equilateral triangles in R^3, allows the design of highly efficient optimization algorithms. Simulation results are presented to compare the performance of the proposed approach against popular methods from the literature. The results suggest that the proposed Riemannian-based methods outperform the state-of-the-art methods. Furthermore, the proposed Riemannian methods require much smaller computation time as compared with popular generic non-convex approaches.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2103.15050arXivDiscussion Paper
ORCID:
AuthorORCID
Douik, Ahmed0000-0001-7791-9443
Al-Naffouri, Tareq Y.0000-0001-6955-4720
Subject Keywords:Spatial location estimation, ultrasound waves, fixed transmitters geometry, Riemannian manifold optimization
Record Number:CaltechAUTHORS:20210414-080100426
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210414-080100426
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108725
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:14 Apr 2021 15:30
Last Modified:19 Apr 2021 17:18

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