多元向量值小波包的正交公式
An Orthogonality Formula for Vector-Valued Multivariate Wavelet Packets
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摘要: 引入对应于多元向量值正交尺度函数的多元向量值小波包的定义,运用代数学理论和积分变换进一步研究多元向量值小波包的性质,得到多元向量值小波包的一个新的正交公式.Abstract: The defininition of the multivariate vector-valued wavelet packets associated with the orthogonal vector-valued multivariate scaling functions is introduced.The properties for the multivariate vector-valued wavelet packets are investigated by using algebra theory and integral transform.An new orthogonality formula for the multivariate vector-valued wavelet packets is obtained.