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Fast Whittle Maximum-Likelihood Parametric Spectrum Estimation for Weather-Radar Doppler Moments — arXiv:2610.09161

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.09161
License (as archived): CC0-1.0
Archived: 2026-10-08T14:17:15.369Z
SHA-256 of the archived text: da296492ca4e9bc2bbd396dc25fe2521b23342605df4fc226d575210cbd92f9f
Stable URL of this page: https://metraipolis.com/documento/dc_7bae8a2f8a28

How to cite

Fast Whittle Maximum-Likelihood Parametric Spectrum Estimation for Weather-Radar Doppler Moments — arXiv:2610.09161 — arXiv (en), https://arxiv.org/abs/2610.09161 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_7bae8a2f8a28 (Metraipolis archive dc_7bae8a2f8a28, sha256 da296492ca4e9bc2bbd396dc25fe2521b23342605df4fc226d575210cbd92f9f)

BibTeX

@misc{dc7bae8a2f8a28,
  title = {Fast Whittle Maximum-Likelihood Parametric Spectrum Estimation for Weather-Radar Doppler Moments — arXiv:2610.09161},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.09161},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_7bae8a2f8a28; sha256 da296492ca4e9bc2bbd396dc25fe2521b23342605df4fc226d575210cbd92f9f},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.09161. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The computational cost of Whittle maximum-likelihood parametric spectrum estimation (PSE) for short-dwell weather-radar Doppler moment retrieval is addressed. PSE can reduce finite-sample bias, especially for short coherent processing intervals and broad spectra, but repeated likelihood evaluations make direct use expensive. A fast implementation of the finite-sample Gaussian Doppler model is introduced by writing the likelihood in terms of closed-form autocorrelation lags and synthesizing the model spectrum and analytic derivatives by fast Fourier transforms (FFTs) on the same N-point grid as the periodogram. The estimator is extended to jointly estimate total power, normalized mean Doppler frequency, and normalized spectral width. Monte Carlo simulations with 1000 noise realizations show that the fast PSE keeps the accuracy advantage of the original PSE, while objective-level timing confirms the reduction from dense lag-to-frequency synthesis to FFT-based evaluation.

Tema degli esploratori: statistica e scienza dei dati (elenco arXiv eess.SP, nuovi lavori del giorno).
Categorie arXiv: Signal Processing (eess.SP).
Pagina del lavoro: https://arxiv.org/abs/2610.09161 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-08T13:28:45.546Z dalla pagina https://arxiv.org/list/eess.SP/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).