Fast FIR Algorithms for the Continuous Wavelet Transform From Constrained Least Squares


Autoria(s): Leigh, G. M.
Data(s)

2013

Resumo

New algorithms for the continuous wavelet transform are developed that are easy to apply, each consisting of a single-pass finite impulse response (FIR) filter, and several times faster than the fastest existing algorithms. The single-pass filter, named WT-FIR-1, is made possible by applying constraint equations to least-squares estimation of filter coefficients, which removes the need for separate low-pass and high-pass filters. Non-dyadic two-scale relations are developed and it is shown that filters based on them can work more efficiently than dyadic ones. Example applications to the Mexican hat wavelet are presented.

Identificador

Leigh, G. M. (2013) Fast FIR Algorithms for the Continuous Wavelet Transform From Constrained Least Squares. Ieee Transactions on Signal Processing, 61 (1). pp. 28-37. ISSN 1053-587X

http://era.daf.qld.gov.au/4458/

Relação

http://dx.doi.org/10.1109/tsp.2012.2222376

http://era.daf.qld.gov.au/4458/

Palavras-Chave #Statistics
Tipo

Article

PeerReviewed