科技通报
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BULLETIN OF SCIENCE AND TECHNOLOGY
2014年
2期
1-4
,共4页
加细函数向量%多小波紧框架%正交变换%傅立叶变换%矩阵符号%滤波器
加細函數嚮量%多小波緊框架%正交變換%傅立葉變換%矩陣符號%濾波器
가세함수향량%다소파긴광가%정교변환%부립협변환%구진부호%려파기
refinable function vector%tight wavelet frames%orthogonal transform%Fourier transform%matrix symbol%filter banks
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。
引入多箇加細函數生成的極小能量多重小波框架的概唸，運用矩陣理論和傅裏葉變換，給齣生成極小能量多重小波緊框架的加細函數嚮量所滿足的條件。對原加細函數嚮量和多重極小能量小波緊框架做正交變換，得到新的加細函數嚮量和與之對應的多重極小能量小波緊框架。
인입다개가세함수생성적겁소능량다중소파광가적개념，운용구진이론화부리협변환，급출생성겁소능량다중소파긴광가적가세함수향량소만족적조건。대원가세함수향량화다중겁소능량소파긴광가주정교변환，득도신적가세함수향량화여지대응적다중겁소능량소파긴광가。
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.
