A Factorization Scheme for Some Discrete Hartley Transform Matrices
Numerical Analysis
2015-02-06 v1 Numerical Analysis
Methodology
Abstract
Discrete transforms such as the discrete Fourier transform (DFT) and the discrete Hartley transform (DHT) are important tools in numerical analysis. The successful application of transform techniques relies on the existence of efficient fast transforms. In this paper some fast algorithms are derived. The theoretical lower bound on the multiplicative complexity for the DFT/DHT are achieved. The approach is based on the factorization of DHT matrices. Algorithms for short blocklengths such as are presented.
Cite
@article{arxiv.1502.01038,
title = {A Factorization Scheme for Some Discrete Hartley Transform Matrices},
author = {H. M. de Oliveira and R. J. Cintra and R. M. Campello de Souza},
journal= {arXiv preprint arXiv:1502.01038},
year = {2015}
}
Comments
10 pages, 4 figures, 2 tables, International Conference on System Engineering, Communications and Information Technologies, 2001, Punta Arenas. ICSECIT 2001 Proceedings. Punta Arenas: Universidad de Magallanes, 2001