Now showing items 1-5 of 5
New class of wavelets for signal approximation
This paper develops a new class of wavelets for which the classical Daubechies zero moment property has been relaxed. The advantages of relaxing higher order wavelet moment constraints is that within the framework of ...
On the Moments of the Scaling Function psi_0
This paper derives relationships between the moments of the scaling function psi_0(t) associated with multiplicity M, K-regular, compactly supported, orthonormal wavelet bases [6, 5] that are extensions of the multiplicity ...
Optimal wavelets for signal decomposition and the existence of scale limited signals
Wavelet methods give a flexible alternative to Fourier methods in non-stationary signal analysis. The concept of <i>band-limitedness</i> plays a fundamental role in Fourier analysis. Since wavelet theory replaces ...
On the Correlation Structure of Multiplicity M Scaling Functions and Wavelets
In this paper we study the auto-correlation and cross-correlation structure of the scaling and wavelet functions associated with compactly supported orthonormal wavelet basis. These correlation structures play an important ...