Fituri H Belgassem and Abdulbasit Nigrat and Seddeeq Ghrari
Algorithms for the Fast Computation of PWL and PHL Transforms
146 - 151
2009
3
2
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/14333
https://publications.waset.org/vol/26
World Academy of Science, Engineering and Technology
In this paper, the construction of fast algorithms for the computation of Periodic Walsh PiecewiseLinear PWL transform and the Periodic Haar PiecewiseLinear PHL transform will be presented. Algorithms for the computation of the inverse transforms are also proposed. The matrix equation of the PWL and PHL transforms are introduced. Comparison of the computational requirements for the periodic piecewiselinear transforms and other orthogonal transforms shows that the periodic piecewiselinear transforms require less number of operations than some orthogonal transforms such as the Fourier, Walsh and the Discrete Cosine transforms.
Open Science Index 26, 2009