Spectral Density Estimation for a Class of Spectrally Correlated Processes

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-26 DOI:10.1111/jtsa.12742

Anna E. Dudek, Bartosz Majewski, Antonio Napolitano

引用次数: 0

Abstract

We study the estimation problem of the spectral density function for harmonizable non-stationary processes. More precisely, we consider spectrally correlated processes whose spectral measure has the support contained in the union of unknown lines with possibly non-unit slopes. We propose the frequency-smoothed periodogram along the estimated support line as an estimator of the spectral density function. We show the mean-square consistency of the proposed estimator. Additionally, we discuss the estimation of the support line in a specific model with its applications in locating a moving source. Finally, we present simulations confirming the proven results.

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一类频谱相关过程的频谱密度估计

我们研究了可协调非平稳过程的谱密度函数估计问题。更确切地说，我们考虑的是频谱相关过程，其频谱度量的支撑线包含在斜率可能为非单位的未知线的结合处。我们提出沿估计支撑线的频率平滑周期图作为谱密度函数的估计值。我们展示了所建议的估计器的均方一致性。此外，我们还讨论了特定模型中支撑线的估计及其在移动声源定位中的应用。最后，我们给出了模拟结果，证实了已证实的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.