【摘要】 平衡多小波由于可避免预滤波而成为小波分析的研究热点。对已有不平衡多小波进行平衡,常会丢失多重尺度函数的对称性。通过对多小波进行平衡时多尺度函数保留对称性的充要条件进行研究,导出了具对称多重尺度函数的平衡多小波的构造算法,给出了2重对称平衡多小波的滤波器系数。更多还原

【Abstract】 Balanced multiwavelets which can avoid prefiltering are an active area of wavelet research. The balancing of unbalanced multiwavelets will destroy its symmetry of mullisicaling functions.Through the study of sufficient and necessary conditions for the relention of the multisculing functions at the balancing of multiwavelets,a construction algorithm for balanced multiwavelets with symmetric multiscaling functions is obtained,and a group of coefficients of symmetric balanced multiwavelets filter bank are given.更多还原