一类双正交小波构造及其压缩性能分析

Construction and Compression Property Analysis of a Kind of Biorthogonal Wavelet

在应用提升框架构造一类双正交小波中,W.Sweldens等给出了预测算子和更新算子的一种求法。论文从时域角度出发,应用多分辨率分析理论、完全重建条件和脉冲函数给出了预测算子和更新算子的另一种求解方法,进而得出了对偶小波函数、对偶尺度函数、主小波函数和主尺度函数的显式表达式,与W.Sweldens等的方法相比,该文的方法更为简单易行。仿真结果表明,论文构造的小波具有优良的压缩性能。

When the lifting s cheme is used to construct a kind of biorthogonal wavelets,a method of seeking a predict operator and update operator is given by W.Sweldens.We start from temporal domain and gain another method of seek-ing the predict operator and up date operator by utilizing a multiresolution,perfect reconstruction,and pulse function in the paper.Then dual wavelet and scale functions and primal wavelet and scale functions are determined.Compared with W.Sweldens' method,our algo rithm is more simple and easy.At last the simulation shows that the compressi on property of the wavelet constructed in the paper is good.