基于布尔过程论的波形和波形空间的性质及应用  

The Properties and Applications of Waveform and Waveform Space Based on Boolean Process

作　　者：尤志强[1] 张大方[1] 刘先霞[2] 

机构地区：[1]湖南大学计算机科学系,长沙410082 [2]湖南大学应用数学系,长沙410082

出　　处：《电子学报》2000年第8期107-109,共3页Acta Electronica Sinica

基　　金：国家自然科学基金!(No 697330 1 0 ;No 699730 1 6)

摘　　要：本文在布尔过程论的基础上运用布尔运算定义了波形空间 ,波形空间中的每一个元素为一波形 ,定义了波形的距离和极限 ,从数学角度推导出了波形与波形空间的许多性质 ,进一步完善了布尔过程论 .并在此基础上定义了延迟算子 ,推导了延迟算子的性质 ,论证了定义的距离的连续性和给出通路敏化的条件 ,展示了布尔过程论的应用前景 .The paper defines the waveform space,the distance and the limit of waveform on the basis of Boolean process with Boolean operation,and also deduces many properties of waveform and waveform space from the engle of mathematics.Consequently it more perfects the Boolean process.Based on the theory the paper not only defines delay operator,deduces the properties of delay operator,argues continuity of the defined distance but also gives the condition of gateway sensitization and brings forth the outlook of Boolean process.

关 键 词：布尔过程 波形空间 波形距离 波形极限 布尔代数 

分 类 号：O153.2[理学—数学]