A Search of WOSF Equivalent Classes up to Order 5

机译：搜索5级以下的WOSF等效类

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摘要

Weighted order statistic filters (WOSF) generate linearly separable Boolean functions. In some cases, 2 different WOSF may generate the same Boolean function. We thus can collect all of the WOSF together, which generate the same Boolean function. In this paper, we construct equivalent classes of WOSF, the BF equivalent class and the global equivalent class. Besides, we generalize three properties of the global classes and collect minimum weight vectors to build the global classes.

机译：加权顺序统计过滤器（WOSF）生成线性可分离的布尔函数。在某些情况下，两个不同的WOSF可能会生成相同的布尔函数。因此，我们可以将所有WOSF收集在一起，从而生成相同的布尔函数。在本文中，我们构造了WOSF的等效类，BF等效类和全局等效类。此外，我们概括了全局类的三个属性，并收集了最小权重向量以构建全局类。

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来源
《Signal Acquisition and Processing, 2009. ICSAP 2009》|2009年|80-84|共5页
会议地点 Kuala Lumpur(MY);Kuala Lumpur(MY)
作者
Wei-Chih Chen; Jyh-Horng Jeng;
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Dept. of Inf. Eng., I-Shou Univ., Kaohsiung, Taiwan;

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原文格式 PDF
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关键词
Boolean functions; digital filters; filtering theory; Boolean function equivalent class; global class; global equivalent class; minimum weight vector; weighted order statistic filters; BF equivalent class; WOSF; base vector; hyperplane;

机译：布尔函数;数字滤波器;滤波理论;布尔函数等效类;全局类;全局等效类;最小权向量;加权统计滤波器; BF等效类; WOSF;基向量;超平面;

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专利

1. Characterization of WOSF by Equivalent Classes through Support Vector Machine [J] . Wei-Chih Chen, Jyh-Horng Jeng Journal of information science and engineering . 2011,第1期

机译：通过支持向量机用等价类表征WOSF。
2. Weighted Searching Probability for Classes of Equivalent Search Designs Comparison [J] . HOOSHANG TALEBI, NABAZ ESMAILZADEH Communications in Statistics . 2011,第4a6期

机译：等效搜索设计类别的加权搜索概率比较
3. Equivalent definitions of dyadic Muckenhoupt and reverse Holder classes in terms of Carleson sequences, weak classes, and comparability of dyadic L log L and A(infinity) constants [J] . Beznosova Oleksandra, Reznikov Alexander Revista matematica iberoamericana . 2014,第4期

机译：关于二元Muckenhoupt和反向Holder类的等效定义，涉及Carleson序列，弱类以及二元L log L和A（无限）常数的可比性
4. A search of WOSF Equivalent Classes up to Order 5 [C] . Wei-Chih Chen, Jyh-Horng Jeng International Conference on Signal Acquisition and Processing . 2009

机译：搜索WOSF等效类最多$ 5
5. Classes of reciprocal sequence homologues (CRSH): Orthology-based clustering of proteins of likely equivalent function. [D] . Handelman, Samuel K. 2010

机译：相互序列同源物（CRSH）的类别：可能具有同等功能的蛋白质基于正交学的聚类。
6. Correction: Equivalent Indels – Ambiguous Functional Classes and Redundancy in Databases [O] . Jens Assmus, Jürgen Kleffe, Armin O. Schmitt, -1

机译：更正：等效Indel –数据库中的模糊功能类和冗余
7. Distribution of permutation statistics across pattern avoidance classes, and the search for a Denert-associated condition equivalent to pattern avoidance [O] . Joshua Thomas Agustin Davies -1

机译：跨模式避免类的置换统计数据分布，以及搜索等同于模式避免的询问相关条件

A Search of WOSF Equivalent Classes up to Order 5

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