DocumentCode :
779395
Title :
Vector-valued wavelets and vector filter banks
Author :
Xia, Xiang-Gen ; Suter, Bruce W.
Author_Institution :
Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA
Volume :
44
Issue :
3
fYear :
1996
fDate :
3/1/1996 12:00:00 AM
Firstpage :
508
Lastpage :
518
Abstract :
In this paper, we introduce vector-valued multiresolution analysis and vector-valued wavelets for vector-valued signal spaces. We construct vector-valued wavelets by using paraunitary vector filter bank theory. In particular, we construct vector-valued Meyer wavelets that are band-limited. We classify and construct vector-valued wavelets with sampling property. As an application of vector-valued wavelets, multiwavelets can be constructed from vector-valued wavelets. We show that certain linear combinations of known scalar-valued wavelets may yield multiwavelets. We then present discrete vector wavelet transforms for discrete-time vector-valued (or blocked) signals, which can be thought of as a family of unitary vector transforms
Keywords :
band-pass filters; filtering theory; signal sampling; vectors; wavelet transforms; band-limited wavelets; multiresolution analysis; multiwavelets; paraunitary vector filter bank theory; sampling property; scalar-valued wavelets; unitary vector transforms; vector filter banks; vector-valued Meyer wavelets; vector-valued signal spaces; vector-valued wavelets; Channel bank filters; Continuous wavelet transforms; Decorrelation; Discrete transforms; Discrete wavelet transforms; Image coding; Military computing; Time frequency analysis; Vectors; Wavelet domain;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/78.489024
Filename :
489024
Link To Document :
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