發(fā)布時間：2018-04-28 01:37

  本文選題：擴頻序列設(shè)計 + 二進序列偶��； 參考：《燕山大學》2014年博士論文

【摘要】：在擴頻通信系統(tǒng)中，系統(tǒng)的抗干擾、抗截獲、多址通信和同步等性能都與系統(tǒng)所采用擴頻碼的特性密切相關(guān)。因此，研究擴頻序列設(shè)計理論、構(gòu)造具有優(yōu)良性能的擴頻碼，對提升現(xiàn)代擴頻通信系統(tǒng)的性能具有重要的理論意義和實際價值。本課題針對現(xiàn)有序列偶擴頻碼存在空間小、低能量效率、相關(guān)性和平衡性差的問題，基于中國剩余定理、組合設(shè)計理論及交織序列理論，對擴頻序列偶信號中的二值和三值自相關(guān)二進序列偶、二值和三值自相關(guān)四進序列偶和最佳高斯整數(shù)序列偶的構(gòu)造法進行研究。 首先，將組合設(shè)計理論與中國剩余定理理論相結(jié)合，提出一種新的基于指示序列和基序列的理想二值自相關(guān)二進序列偶構(gòu)造方法；給出序列偶周期長度分別為(4m+3)(4m'+3)、(4m+1)(4m'+3)和(4m+1)(4m'+1)三種情況下，行序列應(yīng)滿足的條件；分析將四類典型理想二進制序列作為行序列情況下，所構(gòu)造的序列偶在相關(guān)性、能量效率和平衡性方面的性能；通過改變所采用的的基序列和指示序列衍生出9種不同類型的理想二值自相關(guān)二進序列偶構(gòu)造方法，進而根據(jù)二進序列偶與差集偶的等價關(guān)系，得到了9種新類型的差集偶。 其次，在周期為4N的三值自相關(guān)二進序列偶構(gòu)造方面，基于組合設(shè)計理論和交織序列理論，分別提出利用二階分圓類和基于交織法的兩種構(gòu)造方法；在此基礎(chǔ)上，通過定義不同的移位序列，衍生出3種周期為4N且旁瓣值為{0,-4}的三值自相關(guān)二進序列偶的構(gòu)造方法，再根據(jù)三值自相關(guān)二進序列偶與幾乎差集偶的等價關(guān)系，，得到9種新的幾乎差集偶。針對奇數(shù)長三值自相關(guān)二進序列偶的構(gòu)造問題，分別提出基于差集和基于差集偶的構(gòu)造方法，研究所構(gòu)造的序列偶在平衡性、相關(guān)性等方面的性能；為了解決偶數(shù)長最佳二進序列偶存在空間有限問題(僅存在峰值為4的一種類型序列偶)、突破奇數(shù)長二進制序列偶的相關(guān)函數(shù)值必須為奇數(shù)的限制，提出幾乎二進制序列偶的概念，并基于二階、四階和六階分圓類法、差集和差集偶法，提出幾種幾乎二進序列偶的構(gòu)造方法；驗證利用這些方法構(gòu)造的(幾乎)二進序列偶在相關(guān)性、平衡性和能量效率等方面的優(yōu)越性。 隨后，研究周期為偶數(shù)的三值自相關(guān)四進序列偶的性質(zhì)，并通過分析其最大旁瓣模值研究該類序列偶的相關(guān)性；利用逆Gray映射建立二進制序列偶與四進制序列偶之間的聯(lián)系；提出一種勢為N=2n1，特征序列偶為理想二值自相關(guān)二進序列偶，構(gòu)造周期為N=4n2的三值自相關(guān)四進序列偶的新方法；利用交織法，通過取不同的移位序列，提出三種能滿足這種相關(guān)特性的周期為偶數(shù)的三值自相關(guān)四進序列偶的構(gòu)造方法，并分析這三種類型的三值自相關(guān)四進序列偶互不等價性。 最后，利用逆Gray映射建立二進制陣列偶與四進制陣列偶之間的聯(lián)系；為了擴大用來構(gòu)造最佳四進陣列偶的基信號范圍，從而得到更多的最佳四進陣列偶，提出利用周期互補二進陣列偶和最佳二進陣列偶構(gòu)造最佳四進陣列偶的方法；提出利用最佳四進陣列偶和準最佳陣列偶或者幾乎最佳四進陣列偶交替遞歸構(gòu)造高階最佳四進陣列偶的方法。為了拓展最佳高斯整數(shù)序列和最佳序列偶信號的存在范圍，基于中國剩余定理理論和交織序列理論，提出利用奇數(shù)長最佳高斯整數(shù)序列構(gòu)造奇合數(shù)長最佳高斯整數(shù)序列偶的方法；利用復(fù)數(shù)變換法和最佳屏蔽二進序列偶，提出幾種得到偶數(shù)長最佳高斯整數(shù)序列偶的方法；研究同周期下，構(gòu)造參數(shù)對所構(gòu)造的最佳高斯整數(shù)序列偶等價性的影響。
[Abstract]:In the spread spectrum communication system, the performance of anti-interference, anti interception, multiple access communication and synchronization is closely related to the characteristics of the spread spectrum code used by the system. Therefore, it is of great theoretical and practical value to study the spread spectrum sequence design theory and construct the spread spectrum code with excellent performance. The problem of small space, low energy efficiency, correlation and poor balance exists in the existing sequence couple spread code. Based on the Chinese remainder theorem, combinatorial design theory and interleaving sequence theory, the two value and three value autocorrelation two entry pairs, two value and three value autocorrelation four entry pairs and the best Gauss integer in the spread spectrum sequence couple signal The structural method of sequence pairs is studied.
First, combining the theory of combinatorial design with the theory of Chinese remainder theorem, an ideal two value autocorrelation two progressive sequence pair construction method based on the sequence of instructions and the base sequence is proposed, and the conditions that the sequence pair periodic lengths are respectively (4m+3) (4m'+3), (4m+1) (4m'+3) and (4m+1) (4m'+1) are respectively satisfied. In the case of four typical ideal binary sequences, the performance of the sequence pairs in the aspects of correlation, energy efficiency and balance, and 9 different types of ideal two value autocorrelation two progressive sequence pairs are derived by changing the base sequence and the indication sequence, and then according to the two into the sequence couple and the difference. The equivalence relation of set pairs is obtained, and 9 new types of difference set pairs are obtained.
Secondly, based on the combination design theory and the interleaving sequence theory, based on the combination design theory and the interleaving sequence theory, the three values of the three value autocorrelation two progressive sequence are respectively based on the combination design theory and the interlacing sequence theory. On this basis, by defining different shift sequences, 3 cycles are derived from 4N and the sidelobe value is {0, and the three value of the -4} is self phase. The construction method of Guan Erjin sequence pairs is based on the equivalence relation between the three value autocorrelation two progressive sequence pairs and the almost difference set pairs. 9 new almost difference sets pairs are obtained. The construction method based on the difference set and the differential set pairs is proposed for the construction of the odd number of long three value autocorrelation two entry pairs. In order to solve the problem of the limited space of the best two progressive sequence pairs (only a type sequence pair with a peak of 4), the correlation function value of the odd long binary sequence pairs must be restricted by the odd number, and the concept of almost binary sequence pairs is proposed and based on the two order, the four order and the six order circle class. The method, the difference set and the differential set couple method are used to propose several construction methods of almost two progressive sequence pairs, and verify the superiority of the (almost) two input sequence pairs in the correlation, the balance and the energy efficiency.
Then, the study period is an even number of three value autocorrelation four entry pairs, and the correlation between the sequence pairs is studied by analyzing its maximum sidelobe modulus value, and the connection between binary sequence pairs and four sequence pairs is established by inverse Gray mapping. A potential is N=2n1, and the characteristic sequence pair is an ideal two value autocorrelation two order. The construction period is a new method of three value autocorrelation four entry sequence pairs of N=4n2. By using the interlacing method, by taking different shift sequences, the construction method of three kinds of three value autocorrelation four entry pairs, which can satisfy the periodic number of the correlation property, is proposed, and the three values of the three value autocorrelation four sequence pairs are not equivalent to each other. Sex.
Finally, the inverse Gray mapping is used to establish the relationship between binary array pairs and four array pairs. In order to expand the base signal range used to construct the best four input array pairs, the best four input array pairs are obtained, and the best method of constructing the best four input array pairs is proposed by using the periodic complementary two input array pairs and the best two input array pairs. In order to extend the existence range of the best Gauss integer sequence and the best sequence pair signal, the best Gauss integer sequence and the best four input array pair are constructed by using the best array pairs and the quasi optimal array pairs or the almost optimal four input array pairs. The Gauss integer sequence constructs the method of the best Gauss integer sequence pairs with the odd number of odd numbers. By using the complex number transformation method and the best shielded two entry sequence pair, several methods to obtain the best Gauss integer sequence pairs of the even number length are proposed, and the influence of the structural parameters on the optimal Gauss integer sequence pairs under the same period is studied.

【學位授予單位】：燕山大學
【學位級別】：博士
【學位授予年份】：2014
【分類號】：TN914.42

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