Harmonic analysis
Harmonic analysis
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DOI：
10.1109/eit.2004.4569366
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发表时间：
2004-08
期刊：
影响因子：
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通讯作者：
Vladimir I. Clue
中科院分区：
文献类型：
--
作者：
Vladimir I. Clue
本文介绍了一种计算方法的转换，目前通过傅立叶和逆傅立叶变换。该方法允许通过将变换简化为向量到循环矩阵乘法来有效地计算具有数字表示的任意维度的信号的变换。直角坐标系和极坐标系中的调和方程之间存在联系。这里建立的连接，用于为保角映射计算创建非常健壮的递归算法。文中还提出了一种新的两个振荡信号的比值（以及计算比值的有效方法）。
This paper describes a method of calculating the transforms, currently obtained via Fourier and reverse Fourier transforms. The method allows calculating efficiently the transforms of a signal having an arbitrary dimension of the digital representation by reducing the transform to a vector-to-circulant matrix multiplying. There is a connection between harmonic equations in rectangular and polar coordinate systems. The connection established here and used to create a very robust recursive algorithm for a conformal mapping calculation. There is also suggested a new ratio (and an efficient way of computing it) of two oscillative signal.