【摘要】 从构建正交尺度函数与小波的共轭正交滤波器的条件出发,把滤波器的正交条件设计成目标函数,利用共轭正交复滤波器的参数化算式进行参数优化使目标函数极小,得到紧支、对称、准正交的滤波器及其小波.进而分析了准正交小波的数学特性,尤其是正交性;通过与诸多常用小波的比较,表明本文的准正交小波具有很好的性能.更多还原

【Abstract】 Based on conditions on the conjugate quadrature filters constructing the orthogonal scaling function and wavelet,the orthogonal conditions were designed as an objective function which was minimized by the parameter optimization in the parameterized formula of complex conjugate quadrature filters.The compact support,symmetry,quasi-orthogonal filters and wavelets were obtained.The mathematical properties of the quasi-orthogonal wavelets were analyzed.The comparisons with many commonly used wavelets show that the quasi-orthogonal wavelets have advantageous properties.更多还原