TY - JOUR
T1 - Biorthogonal Wavelet Packets Associated with Nonuniform Multiresolution
AU - Firdous Ahmad Shah
JO - Journal of Information and Computing Science
VL - 1
SP - 011
EP - 021
PY - 2024
DA - 2024/01
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22592.html
KW -  Wavelet
KW -   nonuniform  multiresolution  analysis
KW -   biorthogonal  wavelet  packet
KW -   Riesz  basis
KW -  
Fourier transform. 

AB -  In  this  paper,  we  introduce  the  notion  of  biorthogonal  wavelet  packets  associated  with 
nonuniform  multiresoltion  analysis  and  study  their  characteristics  by  means  of  Fourier  transform.  Three 
biorthogonal formulas regarding these wavelet packets are established. Moreover, it is shown how to obtain 
several  new  Riesz  bases  of  the  space (cid:1838)(cid:2870)(ℝ)	by  constructing  a  series  of  subspaces  of  these  nonuniform 
wavelet packets.