autocorrelation functions 中文意思是什麼

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

本文首先綜合運用概率論、代數學、數論等基礎學科的理論知識，並以頻譜理論作為主要研究工具，對一類譜值分佈相對均勻的函數? ?廣半bent函數、 k階擬bent函數和p值k階擬廣義bent函數進行了系統、深入的研究，給出了廣半bent函數定義，並探討了廣半bent函數的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的定義及等價判別條件；討論了k階擬bent函數和p值k階擬廣義bent函數與部分bent函數和p值廣義部分bent函數的關系，探討了它們的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的典型構造方法，並將對k階擬bent函數的密碼性質的研究轉化到對一類特殊的矩陣的研究上；利用布爾函數的特徵矩陣原則上給出了k階擬bent函數的一種完全構造方法，還給出了從已有的p值k階擬廣義bent函數出發，遞歸構造變元個數更多的p值k階擬廣義bent函數的方法；初步探討了k階擬bent函數在序列密碼、分組密碼以及通信中的應用；給出了一類布爾函數walsh譜的分解式，並利用這類布爾函數的walsh譜分解式給出了一類近似穩定的布爾函數的構造，特殊情形下為k階擬bent函數；利用代數數論的知識考察了p值k階擬廣義bent函數的譜特徵，並給出了k階擬廣義bent函數與所有仿射函數的符合率特徵等等。

A scheme to identify the stochastic signal and its modes by computer is introduced and using the method of the autocorrelation functions for recognizing the stochastic audio signal fleet has been applied

摘要分析了利用自相關函數法實現快速識別隨機音頻信號，介紹一種用計算機實現隨機音頻信號處理與模式識別的硬體結構和程序設計。

3. the calculating table of the autocorrelation functions are constructed and their essence and abilities are revealed. furthermore, the new concept of general autocorrelations is presented for the calculation of the order of sac ( strict avalanche criteria ) and pc ( propagation criteria )

3 、構造了自相關函數的計算表，分析其本質含義，解釋其在分析密碼性質方面的功能；進而提出了廣義自相關函數的概念，有效地解決了嚴格雪崩準則和擴散準則階數的確定問題。

As examples, heterogeneous anisotropic fractured rocks of which the autocorrelation functions of crack number density can be described as 2 - dimensional exponential ellipsoidal or gaussian function were simulated especially. the results show that : 1 ) the random distribution characters could be different for different elastic constants under the same random distribution of crack number density. 2 ) the exponential ellipsoidal heterogeneous anisotropic random fractured model could be a suitable model for the multi - scaled and self - similar heterogeneous media

模擬結果表明： 1 ）彈性常數的分佈特徵與裂紋數密度的分佈特徵不相同，並且裂紋數密度對不同的彈性常數有不同程度的影響； 2 ）指數橢圓型隨機裂縫模型適用於模擬具有多尺度、自相似的特性非均勻裂縫巖石； 3 ） gaussian型隨機裂縫模型適用於模擬單尺度、平滑的非均勻裂縫巖石。