【摘要】 小波框架的冗余可导致鲁棒性,冗余使得低精度下获得的小波系数能在相对高的精度下重建原始信号。本文详细讨论了在连续和离散两种情况下小波变换系数在二维时频空间中的信息冗余性问题,其中包括对小波框架自身冗余性的分析;对信号本身冗余性的分析;对小波变换系数冗余性同小波框架冗余性之间关系的分析;对小波变换系数冗余性同信号冗余性之间关系的分析;最后得出体现小波变换系数冗余性同小波框架的兀余性、信号自身的冗余性这三者之间关系的统一表达式。更多还原

【Abstract】 Wavelet frame redundancy leads to robustness,that wavelet transform coefficient obtained in low accuracy can be used to reconstruct original signal in comparative high accuracy.Information redundancy of wavelet transform coefficient including form of continue and discrete in time-frequency space is discussed in this paper.General analysis of wavelet frame redundancy,signal redundancy,the relation between wavelet coefficient redundancy and signal redundancy,the relation between wavelet coefficient redundancy and wavelet frame redundancy also are discussed.Finally,a uniform expression is proposed to show the relation among the three.更多还原