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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Empirical and Synthetic Validation of GCSIN-Aligned Time–Frequency Representations for Tokamak Diagnostics

Authors: Quiroz, Nicolas Brian;

Empirical and Synthetic Validation of GCSIN-Aligned Time–Frequency Representations for Tokamak Diagnostics

Abstract

This preprint provides empirical and synthetic validation of time–frequency representations aligned with the Geometry-Constrained Scale-Invariant Nonstationary (GCSIN) signal class for tokamak diagnostic analysis. Tokamak diagnostic signals commonly exhibit strong nonstationarity, frequency chirping, intermittency, and overlapping modal activity. A parametric synthetic benchmark suite comprising four signal families was constructed to reflect recurring diagnostic phenomenology: linear-frequency chirps with geometric phase structure, multiplicative (log-frequency) chirps, intermittent burst mixtures with broadband backgrounds, and overlapping modes constrained by geometry. Standard representations (STFT, CWT, synchrosqueezed wavelets, reassignment) were systematically compared against GCSIN-aligned kernels using three quantitative metrics: ridge sharpness, time–frequency entropy, and mode separability. Results show that GCSIN-aligned representations consistently reduce ridge dispersion, representational ambiguity, and modal conflation across parameter ranges, with the largest gains for signals exhibiting relative frequency evolution, intermittency, or geometry-driven overlap. These improvements arise from structural alignment between signal properties and representational assumptions rather than from algorithmic complexity. The benchmark suite and evaluation metrics introduced here provide a neutral, reproducible framework for assessing time–frequency representations in nonstationary, multi-scale, and geometry-structured diagnostic settings. This work focuses exclusively on the representational layer and does not address physical modeling, prediction, or control. Related open-source artifacts and prior work:• Psi Universe Attractor Library v2.0: https://doi.org/10.5281/zenodo.18939068• TASD Unified Framework: https://doi.org/10.5281/zenodo.18926912• A formal class of scale-invariant, geometry-constrained nonstationary signals: https://doi.org/10.5281/zenodo.18247445• A toroidal log-chirplet transform for nonstationary, scale-invariant plasma signals: https://doi.org/10.5281/zenodo.18050116 Keywords: Time-frequency analysis, GCSIN signals, Tokamak diagnostics, Synthetic benchmarks, Ridge sharpness, Mode separability

Keywords

Time-frequency analysis, Time-frequency entropy, Synthetic benchmarks, Tokamak diagnostics, Mode separability, Nonstationary signals, Ridge sharpness, Scale-invariant representations, Geometry-constrained signals, GCSIN signals, Toroidal log-chirplet transform, Plasma diagnostics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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