【作者】 韩彦钗；

【导师】 许成谦；

【作者基本信息】 燕山大学 ， 电路与系统， 2009， 硕士

【摘要】 最佳离散信号及其设计在现代通信、雷达、声纳、制导以及电子对抗等系统中,起着越来越重要的作用。经过几十年的努力,人们在最佳离散信号的研究上已取得了大量的重要成果。但是,目前最佳离散信号的选取范围还是比较窄,序列的数量还不是很充足。本论文主要研究了序列偶的相关特性,并对近些年国内由两个单个序列组成偶的最佳离散信号设计方式与三元信号进行了综合,在前人研究的基础上对最佳离散信号作了进一步的研究。主要工作如下:(1)介绍了序列偶的基本概念和序列偶相关函数的性质,以及序列偶在信号处理和通信系统中的应用。(2)根据q相序列偶的周期和非周期相关函数的概念,定义了相应的序列偶的相关函数量值,利用Levenshtein方法推导形成了序列偶的这些相关函数量值界的理论估计,并使之延伸至一般序列的相关理论界上。(3)提出了一种新的具有良好循环相关特性的离散信号——伪随机三元阵列偶。首先给出了伪随机三元阵列偶的相关定义;然后研究了伪随机三元阵列偶的变换性质和频谱特性;而且,为了减小搜索范围,提高搜索效率,给出了伪随机三元阵列偶存在的必要条件;证明了伪随机三元阵列偶的唯一性,并给出了一种伪随机三元阵列偶的构造方法。(4)定义了一种新的最佳相关信号——奇周期最佳三元序列偶,研究了其变换性质,给出了一些组合允许条件,利用计算机搜索出了一些奇周期最佳三元序列偶,并给出了序列偶长度为奇数时,奇周期最佳三元序列偶和周期最佳三元序列偶的关系,以及利用奇周期最佳三元序列偶构造周期最佳三元序列偶的方法。更多还原

【Abstract】 The perfect discrete signal and its design play an important part in the area of modernistic communication, radar, sonar, navigation and electronically antagonism systems. An abundance of research results were published through several decades. But at present, the range of selecting perfect discrete signal is relatively narrow and the number of the perfect signals is not sufficient. The correlation properties of the sequence pair are the main research object in this paper. The paper integrates the perfect discrete signal design mode of the sequence pair with the ternary signals, and makes further study for the perfect discrete signals on the basis of the predecessor’s research. The main work is as following;(1)The basic concepts of sequence pair, the correlation properties of the sequence pair and the applications of the sequence pair in the signal process and communication system are introduced.(2)The concepts of the periodic and aperiodic correlation function of q phase sequence pairs are presented. Based on these concepts, some corresponding quantities are defined. Using Levenshtein method, we deduce the theoretical evaluation of the bounds of correlation quantities of the sequence pairs and expand the bounds to the general sequence sets.(3)A new periodic correlation signal, pseudorandom ternary array pairs, is proposed. At first, some basic definitions are presented. Then the transformation and spectrum properties are studied. To reduce searching range and improve the efficiency, some admissibility conditions are given out. At last its uniqueness is proved. And a construction method is proposed.(4) A new kind of perfect correlate signal is presented in this paper, that is, odd-periodic perfect ternary sequence pairs. The transformation features are studied and the limited conditions are discussed. Based on this, we search out many odd-periodic perfect ternary sequence pairs with small length. The relationship between the odd-periodic perfect and periodic perfect ternary sequence pairs when the length of the sequence pairs is odd is also given. A construction method for periodic perfect ternary sequence pairs by using the odd-periodic perfect ternary sequence pairs is proposed, too.更多还原