【摘要】 <正> 1 引言一组向量称为r元多小波,如果其伸缩和平移形成L~2(R)的一组规范正交基。一般当r=1时Ψ称为单小波,r>1时Ψ称为多小波。与单小波一样,生成多小波Ψ相应的多尺度函数仍然满足r元的多分辨分析,于是更多还原

【Abstract】 A class of matrix conjugate quadrature filter banks (MCQF) in L2[0,1] is constructed based on the interval property of the multiwavelet. This MCQF banks possess simultaneously short supported , orthogonal and symmetric/antisymmetric) with higher order of vanishing moments. We also give the order-1 balancer, and apply this MCQF in the image denoising and compression.更多还原