%0 Journal Article
	%A Fituri H Belgassem and  Abdulbasit Nigrat and  Seddeeq Ghrari
	%D 2009
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 26, 2009
	%T Algorithms for the Fast Computation of PWL and PHL Transforms
	%U https://publications.waset.org/pdf/14333
	%V 26
	%X In this paper, the construction of fast algorithms for the computation of Periodic Walsh Piecewise-Linear PWL transform and the Periodic Haar Piecewise-Linear 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 piecewise-linear transforms and other orthogonal transforms shows that the periodic piecewise-linear transforms require less number of operations than some orthogonal transforms such as the Fourier, Walsh and the Discrete Cosine transforms.

	%P 146 - 151