Nonorthogonal Wavelet Packets with r Scaling Functions
Zhigang Feng, Gang Chen · Journal of Computational Analysis and Applications · 2001
In this paper, we discuss the multiresolution analysis generated by finite scaling functions φ 1 , φ 2 ,... , φ, r in L 2 ( R ). We also consider the direct wavelet decomposition and direct wavelet packet decomposition in L 2 ( R ). Besides, we obtain some results about (dual) nonorthogonal wavelet packet as well as the stability of the basis generating the packet. At last, we give an example of nonorthogonal wavelet packets of multiplicity r by using fractal interpolation functions.