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Bibliographic Details
Main Authors: Saad-Falcon, Alex, Ancelin, Brighton, Romberg, Justin
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.10352
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Table of Contents:
  • Tracking signals in dynamic environments presents difficulties in both analysis and implementation. In this work, we expand on a class of subspace tracking algorithms which utilize the Grassmann manifold -- the set of linear subspaces of a high-dimensional vector space. We design regularized least squares algorithms based on common manifold operations and intuitive dynamical models. We demonstrate the efficacy of the approach for a narrowband beamforming scenario, where the dynamics of multiple signals of interest are captured by motion on the Grassmannian.