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arXiv · 1507.02525

An algorithm for fast computation of the multiresolution discrete Fourier transform

Bartosz Andreatto·Aleksandr Cariow
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Abstract

The article presents a computationally effective algorithm for calculating the multiresolution discrete Fourier transform (MrDFT). The algorithm is based on the idea of reducing the computational complexity which was introduced by Wen and Sandler [10] and utilizes the vectorization of calculating process at each stage of the considered transformation. This allows for the use of a computational process parallelization and results in a reduction of computation time. In the description of the computational procedure, which describes the algorithm, we use the matrix notation. This notation enables to represent adequately the space-time structures of the implemented computational process and directly map these structures into the constructions of a high-level programming language or into a hardware realization space.

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Bartosz Andreatto, Aleksandr Cariow. 2015-07-09. An algorithm for fast computation of the multiresolution discrete Fourier transform. https://arxiv.org/abs/1507.02525

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