Method for El Nino/Southern Oscillation: ENSO by means of wavelet based data compression with appropriate support length of base function is proposed. Through the experiments with observed southern oscillation index, the proposed method is validated. Also a method for determination of appropriate support length is proposed and is validated. KeywordsPrediction; Time series analysis; wavelet; ENS...

The algorithm of wavelet decomposition and reconstruction are applied in the audio error concealment method in this paper. When there is lost frame of the audio signal, the correct frames which lie before and after the lost frame are wavelet decomposed firstly. Then the two sets of the wavelet coefficients obtained from the wavelet decomposition are utilized to get the wavelet coefficients for ...

Wavelet analysis has become a developing branch of mathematics for over twenty years. In this paper, the notion of orthogonal nonseparable bivariate wavelet packs, which is the generalization of orthogonal univariate wavelet packs, is proposed by virtue of analogy method and iteration method. Their biorthogonality traits are researched by using time-frequency analysis approach and variable sepa...

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...