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作 者:韩可众[1]
出 处:《科技通报》2014年第2期1-4,共4页Bulletin of Science and Technology
基 金:2012年河南省软科学研究计划项目(122400450212)
摘 要:引入多个加细函数生成的极小能量多重小波框架的概念,运用矩阵理论和傅里叶变换,给出生成极小能量多重小波紧框架的加细函数向量所满足的条件.对原加细函数向量和多重极小能量小波紧框架做正交变换,得到新的加细函数向量和与之对应的多重极小能量小波紧框架。The concept of minimum-energy multiwavelet tight frames is introduced. The matrix symbols are derived by taking Fourier transform on the refinable equation. The conditions which are satisfied by multiple refinable function of minimum-energy multiple wavelet frames are provided with the help of matrix symbols and matrix theory. A new refin-able function vector and a corresponding minimum-energy multiwavelet tight frame through implementing orthogonal transform on the multiple refinable function vector and the minimum-energy multiwavelet tight frame vector are obtained. Finally, conditions which should be satisfied for several generators of symmetric tight wavelet frames are provided by con-structing the mask functions of the refinable function.
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