布里渊光散射实验中低能级光信号的小波分析

T. Błachowicz
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引用次数: 0

摘要

Haar第一次描述的小波在几年前被重新发现,这要归功于主要属于所谓的应用数学家的大型科学家团体的努力。然而,看起来特别有趣的是,小波理论,从数学的角度来看非常复杂,很快就被应用了。从应用领域来看,我们应该提到信号和图像压缩、信号滤波、信号去噪和瞬态信号分析。本文研究了不同类型的小波。主要目的是在单光子计数法的低能级光信号布里渊散射实验中,找到最适合测量的噪声峰。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Wavelet analysis of low-level optical signals from Brillouin light scattering experiments
Wavelets described for the first time by Haar have been rediscovered once more some years ago thanks to efforts of large community of scientist mainly belonged to a so called applied mathematicians. However, what seems especially interesting, wavelet theory, very sophisticated from mathematical point of view, quickly has been moved to applications. From application areas we should mention signal and image compression, signal filtering, signal denoising, and transient signal analysis. The paper examines different types of wavelets. The main purpose is to find the best fitting to noised peaks measured in the low-level optical-signals Brillouin scattering experiments where single photon counting method is applied.
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