基于斐波那契递归的离散正交变换

1996 IEEE Digital Signal Processing Workshop Proceedings Pub Date : 1996-09-01 DOI:10.1109/DSPWS.1996.555547

K. Egiazarian, J. Astola

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引用次数: 8

摘要

统一斐波那契型拓扑的思想被用于构造广泛的离散正交变换，包括Rademacher-Fibonacci、Walsh-Fibonacci、haar - fibonacci型变换等。给出了与广义斐波那契拓扑直接相关的有效变换算法。建立了基于斐波那契递归的离散小波和小波包的生成方法。

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Discrete orthogonal transforms based on Fibonacci-type recursions

The idea of unified Fibonacci-type topology is used for construction of wide classes of discrete orthogonal transforms, including Rademacher-Fibonacci, Walsh-Fibonacci, Haar-Fibonacci-type transforms, etc. Efficient algorithms for proposed transforms directly related with the generalized Fibonacci topology are derived. The generation of discrete wavelets and wavelet packets based on Fibonacci-type recursions is established.

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1996 IEEE Digital Signal Processing Workshop Proceedings

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