Title
Multiresolution analysis frames with applications
Abstract
A generalization of multiresolution analysis (MRA) to arbitrary affine frames, and the constructions of affine frames based on MRAs are considered and characterized. The authors define a frame multiresolution analysis (FMRA) and provide a necessary and sufficient condition for constructing frames of translates. Conditions for constructing FMRAs and associated frames are derived. The results are part of the theoretical background for multiscale signal processing problems including filter bank design, where redundancy and robustness play a role.<>
Year
DOI
Venue
1993
10.1109/ICASSP.1993.319496
Acoustics, Speech, and Signal Processing, 1993. ICASSP-93., 1993 IEEE International Conference  
Keywords
Field
DocType
digital filters,redundancy,signal processing,wavelet transforms,affine frames,filter bank design,frame multiresolution analysis,multiscale signal processing,necessary and sufficient condition,redundancy,robustness
Affine transformation,Digital filter,Pattern recognition,MRAS,Computer science,Filter bank,Multiresolution analysis,Robustness (computer science),Redundancy (engineering),Artificial intelligence,Wavelet transform
Conference
Volume
ISSN
ISBN
3
1520-6149
0-7803-0946-4
Citations 
PageRank 
References 
7
1.28
5
Authors
2
Name
Order
Citations
PageRank
John J. Benedetto113216.90
Shidong Li2175.07