APPROXIMATION BY WALSH-KACZMARZ-FEJ ′ER MEANS ON THE HARDY SPACE

The main aim of this paper is to find necessary and sufficient conditions for the convergence of Walsh-Kaczmarz-Fej′er means in the terms of the modulus of continuity on the Hardy spaces Hp, when 0〈p≤1/2.     

基于光学沃尔什变换特征提取的图像匹配

采用光电结合的方法实现了沃尔什 （Walsh）分量变换,提出出反映图像主要特征的分量,用于大容量图像库的内容匹配查找,基于以非相干光相关器为核心的光电混合图像处理系统,实现了基于光学沃尔什变换特征提取的图像匹配算法。     

The martingale hardy type inequality for Marcinkiewicz-Fejér means of two-dimensional conjugate Walsh-Fourier series

The main aim of this paper is to prove that for any 0 < p ≤ 2/3 there exists a martingale f ∈ H _p such that Marcinkiewicz-Fejér means of the two-dimensional conjugate Walsh-Fourier series of the martingale f is not uniformly bounded in the space L _p .     

Almost Everywhere Convergence of Sequences of Cesàro and Riesz Means of Integrable Functions with Respect to the Multidimensional Walsh System

The aim of this paper is to prove the a.e.convergence of sequences of the Cesa`ro and Riesz means of the Walsh–Fourier series of d variable integrable functions.That is,let a=(a1,...,ad):N→Nd(d∈P)such that aj(n+1)≥δsupk≤n aj(k)(j=1,...,d,n∈N)for someδ0 and a1(+∞)=···=ad(+∞)=+∞.Then,for each integrable function f∈L1(Id),we have the a.e.relation for the Ces`aro means limn→∞σαa(n)f=f and for the Riesz means limn→∞σα,γa(n)f=f for any 0αj≤1≤γj(j=1,...,d).A straightforward consequence of our result is the so-called cone restricted a.e.convergence of the multidimensional Ces`aro and Riesz means of integrable functions,which was proved earlier by Weisz.     

On the divergence of Nörlund logarithmic means of Walsh-Fourier series

It is well known in the literature that the logarithmic means 1/logn ^n-1∑k=1 Sk（f）/k of Walsh or trigonometric Fourier series converge a.e. to the function for each integrable function on the unit interval. This is not the case if we take the partial sums. In this paper we prove that the behavior of the so-called NSrlund logarithmic means 1/logn ^n-1∑k=1 Sk（f）/n-k is closer to the properties of partial sums in this point of view.     

A NOTE ON THE WALSH-FEJER MEANS

The main aim of this paper is to prove that the maximal operator σ# is not bounded from the martingale Hardy space Hp （G） to the martingale Hardy space Hp （G） for 0〈p≤1.     

涡流检波器参数测试的时域方法研究

给出了基于沃尔什变换的涡流检波器参数测试的时域方法.计算机仿真和试验验证,该方法和频域方法相比,精度高,测试时间短,并具有良好的抗噪性.     

基于沃尔什-哈达玛变换和信噪比的自适应音频盲水印算法

针对加性水印中嵌入强度因子的自适应问题进行了研究,提出了一个基于信噪比的自适应音频水印算法.该算法在保证听觉质量的同时,利用信噪比自适应地调节嵌入强度因子,并将水印信号嵌入到音频数据经沃尔什-哈达玛变换后的低频系数中,水印检测时不需要原始音频信号参与.仿真实验结果表明该算法对诸如加噪、滤波、重量化、重采样和MP3压缩等常规信号处理具有较强的鲁棒性,可用于音频数据的版权保护.     

滚动轴承故障的沃尔什诊断法

本文以沃尔什功率谱为基础提出一种新的故障诊断方法。选取了新的特征量及故障特征系数，并与滤波降噪技术相结合，对３０７滚动轴承进行了诊断。实践证明，这一方法对于冲击故障信号比较有效。     

Pointwise convergence of cone-like restricted two-dimensional Fejér means of Walsh-Fourier series

For the two-dimensional Walsh system, Gat and Weisz proved the a.e. convergence of Fejer means σnf of integrable functions, where the set of indices is inside a positive cone around the identical function, that is, β^-1≤n1/n2 ≤β is provided with some fixed parameter ~ 〉 1. In this paper we generalize the result of Gat and Weisz. We not only generalize this theorem, but give a necessary and sufficient condition for cone-like sets in order to preserve this convergence property.