Omnidirectionally Balanced Multiwavelets for Vector Wavelet Transforms
DCC '02 Proceedings of the Data Compression Conference
Vector Wavelet Thresholding for Vector Field Denoising
VIS '04 Proceedings of the conference on Visualization '04
Construction of nonseparable multiwavelets for nonlinear image compression
EURASIP Journal on Applied Signal Processing
The research of orthogonal vector-valued wavelet packets
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Characteristics of orthogonal vector-valued wavelet packet bases
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Researches into orthogonal multivariate wavelet packets with finite support
IITA'09 Proceedings of the 3rd international conference on Intelligent information technology application
Construction of a class of compactly supported biorthogonal multiple vector-valued wavelets
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part II
Partial parameterization of orthogonal wavelet matrix filters
Journal of Computational and Applied Mathematics
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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