Hi-Accuracy Method for Spectrum Shift Determination

IF 4 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Fibers Pub Date : 2023-07-10 DOI:10.3390/fib11070060

N. Pavlycheva, Ayna Niyazgulyyewa, A. Sakhabutdinov, V. Anfinogentov, Oleg Morozov, T. Agliullin, Bulat Valeev

引用次数: 0

Abstract

A new hi-accuracy method for slight-shift determination of low-resolution spectra is proposed. The method allows determining a spectrum shift with an accuracy exceeding the spectrum analyzer resolution to more than three orders of magnitude due to the mathematical post-processing. The method is based on representing the spectrum as a continuous and everywhere differentiable function; expanding it into the Taylor series; approximating all the function derivatives by finite differences of a given order. Thereafter, the spectrum shift is determined using the least-squares method. The method description, its mathematical foundation and the simulation results are given. The advantages of the application of the proposed method are shown.

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光谱偏移的高精度测定方法

提出了一种新的高精度低分辨率光谱微位移测定方法。由于数学后处理，该方法允许以超过频谱分析仪分辨率三个数量级以上的精度来确定频谱偏移。该方法基于将谱表示为连续且处处可微的函数；将其扩展到泰勒系列；通过给定阶数的有限差来近似所有函数导数。此后，使用最小二乘法来确定频谱偏移。给出了该方法的描述、数学基础和仿真结果。说明了该方法的应用优势。

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

Fibers Engineering-Civil and Structural Engineering

CiteScore

7.00

自引率

7.70%

发文量

审稿时长

11 weeks

期刊介绍： Fibers (ISSN 2079-6439) is a peer-reviewed scientific journal that publishes original articles, critical reviews, research notes and short communications on the materials science and all other empirical and theoretical studies of fibers, providing a forum for integrating fiber research across many disciplines. Our aim is to encourage scientists to publish their experimental and theoretical results in as much detail as possible. There is no restriction on the length of the papers. The full experimental details must be provided so that the results can be reproduced. Electronic files or software regarding the full details of the calculation and experimental procedure, if unable to be published in a normal way, can be deposited as supplementary material. The following topics are relevant and within the scope of this journal: -textile fibers -natural fibers and biological microfibrils -metallic fibers -optic fibers -carbon fibers -silicon carbide fibers -fiberglass -mineral fibers -cellulose fibers -polymer fibers -microfibers, nanofibers and nanotubes -new processing methods for fibers -chemistry of fiber materials -physical properties of fibers -exposure to and toxicology of fibers -biokinetics of fibers -the diversity of fiber origins