English

Two-Dimensional Frequency-Difference-of-Arrival Varieties

Signal Processing 2024-03-26 v1 Algebraic Geometry

Abstract

This paper studies Frequency-Difference-of-Arrival (FDOA) curves for the 2-dimensional, 2-sensor case. The primary focus of this paper is to give a description of curves associated to the FDOA problem from the algebro-geometric point of view. To be more precise, the complex projective picture of the family of FDOA curves for all possible relative velocities is described.

Cite

@article{arxiv.2403.16805,
  title  = {Two-Dimensional Frequency-Difference-of-Arrival Varieties},
  author = {Jeanne Duflot and Margaret Cheney and James A. Given},
  journal= {arXiv preprint arXiv:2403.16805},
  year   = {2024}
}

Comments

64 pages, 10 figures

R2 v1 2026-06-28T15:32:46.497Z