Additional constraints to ensure three vanishing moments for orthonormal wavelet filter banks and transient detection

Julio Cezar Uzinski, Henrique Mohallem Paiva, Francisco Villarreal, Marco Aparecido Queiroz Duarte, Roberto Kawakami Harrop Galvão


This article presents an improvement to the formulation of Sherlock and Monro for the wavelet parameterization for the obtainment of the restrictions which ensure three vanishing moments. In order to test the formulation presented, a transient signal detection is presented.

Full Text:



I. Daubechies, "Ten Lectures on Wavelets''. Philadelphia, PA: SIAM, 1992.

T. Froese, S. Hadjiloucas, R.K.H. Galvão, V.M. Becerra, C.J. Coelho, Comparison of extrasystolic ECG signal classifiers using discrete wavelet transforms, Pattern Recognit. Lett., vol. 27, pp. 393-407, Apr. 2006.

R.K.H. Galvão, G.E. José, H.A.D. Filho, M.C.U. Araujo, E.C. Silva, H.M. Paiva, T.C.B. Saldanha, E.S.O.N. Souza, Optimal wavelet filter construction using X and Y data, Chemometrics and Intelligent Laboratory Systems, Volume 70, pp. 1-10, Jan. 2004

S. Mallat, "A Wavelet Tour of Signal Processing''. San Diego, EUA: Academic Press, 1998.

H.M. Paiva, M.N. Martins, R.K.H. Galvao, J. Paiva, On the space of orthonormal wavelets: additional constraints to ensure two vanishing moments, Signal Processing Letters, IEEE , vol.16, no.2, pp.101-104, Feb. 2009.

J. P. L. M. Paiva, C.A. Kelencz, H.M. Paiva, R.K.H. Galvão, M. Magini, Adaptive wavelet EMG compression based on local optimization of filter banks, Physiological Measurement, vol. 29, pp. 843-856, 2008.

B.G. Sherlock, D.M. Monro, On the space of orthonormal wavelets, Signal Processing, IEEE Transactions on, vol.46, no.6, pp.1716-1720, Jun 1998.

J. C. Uzinski, H. M. Paiva, F. Villarreal, M.A.Q. Duarte, R.K.H. Galvão, Additional constraints to ensure three vanishing moments for orthonormal wavelet filter banks, Congresso de matemática aplicada e computacional - Centro-Oeste, Cuiabá - MT, Jul 2013.

P.P. Vaidyanathan, "Multirate Systems and Filter Banks''. Englewood Cliffs, NJ: Prentice-Hall, 1993.

H. Zou, A.H. Tewfik, Parametrization of compactly supported orthonormal wavelets, Signal Processing, IEEE Transactions on , vol.41, no.3, pp.1428-1431, Mar 1993.


Article Metrics

Metrics Loading ...

Metrics powered by PLOS ALM


  • There are currently no refbacks.

Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)


Indexed in:



Desenvolvido por:

Logomarca da Lepidus Tecnologia