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首页> 外文会议>International Conference Complex Systems: Control and Modeling Problems >Using of a Hierarchical Algorithm Based on Chebyshev-Hermite Functions for Analytical Device Signals Processing
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Using of a Hierarchical Algorithm Based on Chebyshev-Hermite Functions for Analytical Device Signals Processing

机译：基于Chebyshev-Hermite函数的分层算法在分析设备信号处理中的应用

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The paper deals with a development of an analytical device's signal processing algorithms based on decomposition signals into the coefficients of the basis of orthogonal functions. The Chebyshev-Hermite functions are used as decomposition basis. Two different algorithms (traditional and hierarchical) for decomposition analytical device's signal are described. The traditional one is used to obtain coefficients of decomposition of the analytical device's signal in chosen basis with selected number of basis functions. The hierarchical one is used to obtain decomposition coefficient first with only zero-order basis function, then compute the difference between signal and its copy reconstructed by just obtained decomposition coefficient. Further, the described procedure is repeated for computed earlier difference with first-order basis function and so on, until the difference is below the selected value. The main goal of the current paper is to compare the hierarchical approach with the traditional one in terms of accuracy and computation time.
机译：本文研究了一种基于分解信号并将其分解为正交函数基础的系数的分析设备的信号处理算法的开发。 Chebyshev-Hermite函数用作分解基础。描述了用于分解分析设备信号的两种不同算法（传统算法和分层算法）。传统的方法用于获得具有选定数量的基函数的选定基准下分析设备信号的分解系数。等级1用于首先仅使用零阶基函数来获得分解系数，然后计算信号和通过刚刚获得的分解系数所重建的副本之间的差。此外，对于具有一阶基函数的计算出的较早的差异，重复上述过程，直到该差异低于所选值为止。本文的主要目的是在准确性和计算时间方面将分层方法与传统方法进行比较。

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