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| Main Author: | |
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| Format: | Preprint |
| Published: |
2005
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/cs/0501065 |
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| _version_ | 1866912655112929280 |
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| author | Clue, Vladimir I |
| author_facet | Clue, Vladimir I |
| contents | 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 iterative algorithm for a conformal mapping calculation. There is also suggested a new ratio (and an efficient way of computing it) of two oscillative signals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_cs_0501065 |
| institution | arXiv |
| publishDate | 2005 |
| record_format | arxiv |
| spellingShingle | Harmonic Analysis Clue, Vladimir I Numerical Analysis Discrete Mathematics G.1; G.4; I.1 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 iterative algorithm for a conformal mapping calculation. There is also suggested a new ratio (and an efficient way of computing it) of two oscillative signals. |
| title | Harmonic Analysis |
| topic | Numerical Analysis Discrete Mathematics G.1; G.4; I.1 |
| url | https://arxiv.org/abs/cs/0501065 |