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Two-Dimensional Frequency-Difference-of-Arrival Varieties

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Jeanne Duflot, Margaret Cheney, James A. Given

Signal Processing · Submitted 25 Mar 2024

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim To be more precise, the complex projective picture of the family of FDOA curves for all possible relative velocities is described.

how it is stated · asserted 1.00 read the record →

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arXiv ID2403.16805 (version 1)
Pith ID5YLYGJUV, Pith's permanent record of this paper and its review
CitationJames A. Given, Jeanne Duflot, Margaret Cheney. "Two-Dimensional Frequency-Difference-of-Arrival Varieties." arXiv:2403.16805 (2024). https://pith.science/paper/5YLYGJUV
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,925 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 This paper studies Frequency-Difference-of-Arrival (FDOA) curves for the 2-dimensional, 2-sensor case. contribution 0.75 0.77 0.04 asserted 0.99
s1 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. contribution 0.99 0.75 0.14 asserted 0.99
s2 To be more precise, the complex projective picture of the family of FDOA curves for all possible relative velocities is described. contribution 0.92 0.85 0.20 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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.

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