Using the theories of probability , algebra and number theory comprehensively , we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions , which are constructed from any two bent functions , are studied , followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values . some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions , whose cryptographic properties are explored by the matrix method , which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher , communications and block ciphers is discussed , which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions , including the complete construction by using the characteristic matrices of boolean functions , and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp , where p is a prime , and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered 本文首先综合运用概率论、代数学、数论等基础学科的理论知识，并以频谱理论作为主要研究工具，对一类谱值分布相对均匀的函数? ?广半bent函数、 k阶拟bent函数和p值k阶拟广义bent函数进行了系统、深入的研究，给出了广半bent函数定义，并探讨了广半bent函数的密码学性质；给出了k阶拟bent函数和p值k阶拟广义bent函数的定义及等价判别条件；讨论了k阶拟bent函数和p值k阶拟广义bent函数与部分bent函数和p值广义部分bent函数的关系，探讨了它们的密码学性质；给出了k阶拟bent函数和p值k阶拟广义bent函数的典型构造方法，并将对k阶拟bent函数的密码性质的研究转化到对一类特殊的矩阵的研究上；利用布尔函数的特征矩阵原则上给出了k阶拟bent函数的一种完全构造方法，还给出了从已有的p值k阶拟广义bent函数出发，递归构造变元个数更多的p值k阶拟广义bent函数的方法；初步探讨了k阶拟bent函数在序列密码、分组密码以及通信中的应用；给出了一类布尔函数walsh谱的分解式，并利用这类布尔函数的walsh谱分解式给出了一类近似稳定的布尔函数的构造，特殊情形下为k阶拟bent函数；利用代数数论的知识考察了p值k阶拟广义bent函数的谱特征，并给出了k阶拟广义bent函数与所有仿射函数的符合率特征等等。
After the analysis of the state of converter switches , the voltage space vector is received . on the basis of hexagon stator flux trace method of traditional direct torque control , by changing the regulation of stator flux , hexagon and approximate round trace of stator flux can be got when using different voltage space vector . the fast regulation is realized when three - value regulator is used to adjust torque 通过对逆变器开关状态的分析进而得到电压空间矢量，并且论述了电压空间矢量与转矩和磁链之间的关系，使用两点式调节方法对定子磁链进行调节，实现六边形磁链轨迹和圆形轨迹方案，对转矩采用三值调节器进行调节，以实现转矩的快速调节。
First , based on the analysis of the design method of two - valued shift counter , we use the multivaled circuit ' s property of high information density to put forward the design method of three - valued shift counter . by using this method module - n three - valued shift counter can be designed . and by selecting the best design method , the simplest circuit of control logic can be made 首先，在分析二值的移位计数器的设计方法的基础上，利用多值电路的高信息密度，提出了三值移位计数器的设计，运用该方法可以设计任意状态的三值移位计数器，并且通过选择最佳设计方案使控制逻辑电路最简。
Abstract : bridge function and generalized bridge function are all three - valued function , and are made by initial sequence according as copied or shifted ways . they include some familiar orthogonal function of non - sine , such as walsh function . this paper briefly introduced some research advance on this subject , emphasized to introduce the copy theory and generalized copy method . the process of making ( generalized ) bridge function , its property and application , were introduced briefly 文摘:桥函数和广义桥函数均为三值函数系，都是将初始序列经复制方式和移位方式变换后而形成的.它们包括了一些常见的非正弦正交函数，如沃尔什函数和方波函数等.简要介绍了近10年来北京航空航天大学通信与电子系统博士点在非正弦正交函数方面研究的一些新进展，重点介绍了复制理论和广义复制方法，桥函数、广义桥函数的复制生成方法、性质及其应用等专题
