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

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

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Article Link(s): http://dx.doi.org/10.1109/tsp.2012.2222376

Abstract

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.

Item Type:Article
Business groups:Animal Science
Additional Information:ISI Document Delivery No.: 075OJ Times Cited: 0 Cited Reference Count: 39 Leigh, George M. AMIRA International [P843]; Australian Research Council Manuscript received May 13, 2011; revised March 20, 2012 and September 21, 2012; accepted September 24, 2012. Date of publication October 03, 2012; date of current version December 04, 2012. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Patrick Flandrin. This work was a part of the AMIRA International Project P843, supported by the Australian Research Council and mining industry participants Anglo Platinum, AngloGold Ashanti, Barrick Gold, BHP Billiton, Codelco, Newcrest Mining, Newmont Mining, OZ Minerals, Penoles, Rio Tinto, Teck Cominco, Vale, Vale Inco, Xstrata Copper, Datamine Group, Geotek, Golder Associates, ioGlobal, and Metso Minerals. Ieee-inst electrical electronics engineers inc Piscataway
Keywords:Algorithm design and analysis continuous wavelet transforms finite impulse response filter signal processing algorithms 2-scale difference-equations filter banks discrete multiresolution design initialization decompositions representation computation regularity
Subjects:Science > Statistics
Deposited On:02 Oct 2014 05:32
Last Modified:02 Oct 2014 05:32

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