【摘要】 多小波是近几年小波理论研究的一个重要方向。该文综述了多小波的重要性质,利用正交性和对称性构造了一个支集在[0,1]上具有精确重构特性和二阶逼近性的多小波,其最大特点是无边界失真效应;经平衡后,有更好的低通和高通特性,不用预滤波。实验结果表明重构效果比单小波好。更多还原

【Abstract】 The multiwavelet research has been an important aspect of the wavelet theory in recent years. This paper summarizes some important properties of multiwavelets. Using the properties of orthogonality and symmetry, A multiwavelet with compact support in [0,1], accurate reconstruction and approximation order 2 is constructed. The multiwavelet has the most advantage of non- boundary distortion. Needless to prefilter, it has better lowpass and highpass characteristics after being balanced. Examples of signal reconstruction and image compression are given, with satisfactory reconstruction results over the single wavelet.更多还原