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  Discrete Orthogonal Transforms Based on Fibonacci-type Recursions

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by Karen Egiazarian, Jaakko Astola
http://www.cs.tut.fi/~karen/norfifin.ps
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Abstract:

The idea of unified Fibonacci-type topology is used for construction of wide classes of discrete orthogonal transforms, including RademacherFibonacci, Walsh-Fibonacci, Haar-Fibonaccitype 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.

Citations

14 Binary Polynomial Transforms and Nonlinear Digital Filters – Agaian, Astola, et al. - 1995