The Research of Exact Orthogonal Nonseparable Four-Variate Wavelet Pack Bases with Finite Support
Xiao Feng Wang · Key engineering materials · 2011
Wavelet analysis has become a popular subject in scientific research for twenty years. It has been a powerful tool for exploring and solving many complica -ted problems in natural science and engineering computation. The notion of exact orthogonal nonseparable four-variate wavelet packs is introduced. A novel method for constructing them is provided by iteration method. The orthogonality properties of four-variate wavelet packs are discussed. Three orthogonality formulas concerning these wavelet packs are provided. The pyramid decomposition scheme is derived