递归离散小波噪声滤波改善测量仪器计量特性

IF 0.1 Q4 INSTRUMENTS & INSTRUMENTATION
D. Onufriienko, Y. Taranenko, Hryhorii Suchkov
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引用次数: 0

摘要

首次研究了用递推离散小波噪声滤波方法改善测量仪器的计量特性。研究了对所有分解级别具有公共阈值的方法、对细节系数进行简单归零直到达到最小均方(RMS)误差的无阈值方法,以及对每个分解级别的细节系数具有通用阈值的方法。分析了来自流行的PyWavelets库的20种不同类型的测量信号。确定了具有共同阈值的滤波方法的函数,使用递归将滤波误差从10%降低到50%。对于没有阈值和具有通用阈值的方法,递归并不能通过对测量信号的多次滤波来减少误差。为了将递归应用于具有所有分解级别的公共阈值的方法,基于小波滤波的基本方程构建了一个数学模型。研究了滤波均方根误差随可逆循环次数的分布特征。据总结,对于所考虑的测量信号模型,最大误差减少发生在对初始测量信号进行滤波的零周期和第一级递归之间。根据接近双曲线的定律,随着递归循环次数的增加,滤波误差进一步减小。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Improving metrological characteristics of measuring instruments by discrete wavelet noise filtering using the recursion method
The method of recursive discrete wavelet noise filtering for improving metrological characteristics of measuring instruments was investigated for the first time. Methods with a common threshold for all decomposition levels, methods without threshold with a simple zeroing of detail coefficients until the minimum mean square (RMS) error is reached, and methods with universal threshold for detail coefficients at each decomposition level were studied. Twenty different types of measurement signals from the popular PyWavelets library were analyzed. The functions of filtering methods with a common threshold were determined, for which the use of recursion reduces the filtering error from 10 to 50%. For methods without threshold and with universal threshold, the recursion does not reduces the error by multiple filtering of measurement signals. To apply the recursion to the method with a common threshold for all decomposition levels, a mathematical model based on the fundamental equations of wavelet filtering was constructed. The character of distribution of the filtering RMS error depending on the number of reversible cycles is investigated. It was summarized that for the measurement signal models under consideration, the maximum error reduction occurs between the zero cycle, in which the initial measurement signal is filtered, and the first level of recursion. Further reduction of the filtering error with increasing number of recursion cycles occurs according to the law close to hyperbolic.
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来源期刊
Ukrainian Metrological Journal
Ukrainian Metrological Journal INSTRUMENTS & INSTRUMENTATION-
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