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首页> 外文期刊>Mechanical systems and signal processing >Calculating scaling function coefficients from system response data for new discrete wavelet families
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Calculating scaling function coefficients from system response data for new discrete wavelet families

机译：从系统响应数据中为新的离散小波族计算缩放函数系数

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摘要

In this paper, a formula derived from the wavelet dilation equation is presented as a means to calculate scaling function coefficient values for arbitrary waveforms. The performance of this formula is assessed by analyzing the scaling functions of multiple Daubechies wavelets. With the goal of developing new discrete wavelet families that possess the characteristics of a specific system, the formula is applied to analytical and experimental response data. The relationship between the number of coefficients and their ability to successfully capture the features of the signal is studied. Further, a technique is developed for determining the requisite number of coefficients when applying the formula. This formula may serve as the foundation for the development of new families of discrete wavelets which can be based on the nominal characteristics of a given system for use in signal processing and model discretization applications.
机译：在本文中，提出了一种从小波膨胀方程式导出的公式，作为计算任意波形的缩放函数系数值的一种方法。通过分析多个Daubechies小波的缩放函数来评估此公式的性能。为了开发具有特定系统特征的新离散小波族，将该公式应用于分析和实验响应数据。研究了系数数量及其成功捕获信号特征的能力之间的关系。此外，开发了一种用于在应用公式时确定所需系数数的技术。该公式可作为开发新的离散小波族的基础，这些新小波族可基于给定系统的标称特性，用于信号处理和模型离散化应用。

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  • 来源
    《Mechanical systems and signal processing》 |2012年第2期|p.362-369|共8页
  • 作者

    Andrew J. Dick; Quan M. Phan; Jason R. Foley; Pol D. Spanos;

  • 作者单位

    Department of Mechanical Engineering and Materials Science, Rice University, Houston, Texas, United States;

    rnDepartment of Mechanical Engineering and Materials Science, Rice University, Houston, Texas, United States;

    rnFuzes Branch, Munitions Directorate, Air Force Research Laboratory, Eglin AFB, Florida, United States;

    rnDepartment of Mechanical Engineering and Materials Science, Rice University, Houston, Texas, United States;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    discrete wavelets; impulse response; signal analysis;

    机译：离散小波冲动反应信号分析;

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