OPSI s OPSIS DAUBECHIES, I., and SWELDENS, W: ‘Factoring wavelet transforms into lifting steps’, J Fourier Anal. Appl., 1998, 4, (3), pp. 245-267 ANDRA, K., CHAKRABARTI, C., and ACHARYA, T.: ‘AVLSI architecture for lifting-based wavelet transform’. IEEE Workshop on Signal Processing Systems, Lafayette, LA, USA, 2000, pp. 70-79 JIANG, w., and ORTEGA, A.: ‘Parallel architecture for the discrete w...

In this paper we discuss a method for construction of algebraic wavelet coefficients, i.e., wavelet coefficients lying in an algebraic extension field of Q: The method relies on a strengthened version of a theorem due to L. FEJÉR and F. RIESZ. As an application, we prove that the Daubechies wavelets have algebraic wavelet coefficients. We show that there exist uncountably many transcendent scal...

This paper presents a new multi-sensor data fusion method based on the combination of wavelet transform (WT) and extended Kalman filter (EKF). Input data are first filtered by a wavelet transform via Daubechies wavelet “db4” functions and the filtered data are then fused based on variance weights in terms of minimum mean square error. The fused data are finally treated by extended Kalman filter...

We show that with small modifications in diverse expressions for the shifted Legendre polynomials, we can obtain the corresponding relations for Daubechies polynomials.

It is described how the coefficients of Daubechies wavelet matrices can be approximated by rational numbers in such a way that the perfect reconstruction property of the filter bank be preserved exactly.

In the last decade, Daubechies orthogonal wavelets have been successfully used and proved their practicality in many signal processing paradigms. The construction of these wavelets via two channel perfect reconstruction filter bank requires the identification of necessary conditions that the coefficients of the filters and the roots of binomial polynomials associated with them should exhibit. I...

This paper presents an algorithm based on the wavelet decomposition, for feature extraction from the ECG signal and recognition of four types of Ventricular Arrhythmias. A set of Discrete Wavelet Transform (DWT) coefficients, which contain the maximum information about the arrhythmia, was selected from the wavelet decomposition. The algorithm is applied on the ECG registrations from the MIT-BIH...

BACKGROUND Automatic detection of the 1st (S1) and 2nd (S2) heart sounds is difficult, and existing algorithms are imprecise. We sought to develop a wavelet-based algorithm for the detection of S1 and S2 in children with and without pulmonary arterial hypertension (PAH). METHOD Heart sounds were recorded at the second left intercostal space and the cardiac apex with a digital stethoscope simu...

this paper concentrates on a new procedure which experimentally recognises gears and bearings faults of a typical gearbox system using a least square support vector machine (lssvm). two wavelet selection criteria maximum energy to shannon entropy ratio and maximum relative wavelet energy are used and compared to select an appropriate wavelet for feature extraction. the fault diagnosis method co...

this paper concentrates on a new procedure which experimentally recognises gears and bearings faults of a typical gearbox system using a least square support vector machine (lssvm). two wavelet selection criteria maximum energy to shannon entropy ratio and maximum relative wavelet energy are used and compared to select an appropriate wavelet for feature extraction. the fault diagnosis method co...