二维空间的离散W变换  

On Two-dimensional Walsh Transform

作　　者：叶赛英[1] 

机构地区：[1]浙江科技学院理学院,杭州310023

出　　处：《浙江科技学院学报》2006年第1期8-12,共5页Journal of Zhejiang University of Science and Technology

基　　金：浙江科技学院科研基金项目(ZF200510)

摘　　要：利用一维离散Walsh变换的性质与结果,定义了二维离散Walsh变换及二维Walsh变换的逻辑卷积,证明了二元W系的完整性,给出二维Walsh变换的基本运算性质及二维Walsh变换下1≤p≤2时的Hausdorff-Young不等式。Based on the transform property and result of one-dimention Walsh, definition of the kind of Walsh and logical convolution in two dimensions are presented. Completeness of W systems of two variables are deduced. Properties and convergence of one-dimensional Walsh functions can be extended to two-dimensional case including convolution theorem and Hausdorff-Young inequality in two dimensions when 1≤p≤2.

关 键 词：二维离散Walsh变换 逻辑卷积 完整性 卷积定理 Hausdorff—Young不等式 

分 类 号：O174.1[理学—数学] O174.22[理学—基础数学]