良好相关性信号的研究

发布时间：2019-03-05 13:51

【摘要】：本文介绍了被广泛用于数据加密、扩频通信、雷达、声纳、无线通信中的几种常用的具有良好相关特性的序列,如Gold序列、GMW序列、Kasami序列、Bent序列、Barker序列、m序列、Costas序列。利用移位寄存器和有限域、数论的原理和方法,讨论了这几种序列的结构、生成方法及各自特点。系统地总结了到目前为止具有良好相关性的信号设计方法,阐述以上各种序列在自相关函数和互相关函数的计算方面取得的成果,并给出相应的仿真结果。重点研究了二维序列——Costas序列。研究了用循环移位法获得的Welch Costas 和 Golomb Costas序列族的特性,建立了含有一个间隙行或间隙列的Welch Costas和含有一个间隙行和一个间隙列Golomb Costas序列的结构理论,深入研究了含有一个间隙行或间隙列的Welch Costas和含有一个间隙行和一个间隙列Golomb Costas序列的代数结构、构造方法和自(互)相关特性,并证明了相关的定理。探索了用含有一个间隙行或间隙列的Welch Costas和含有一个间隙行和一个间隙列Golomb Costas序列设计OFDM系统中跳频图样的方法,举例说明了如何设计跳频码和怎样将跳频码分配给OFDM系统中的用户。用含有一个间隙行或间隙列的Welch Costas和含有一个间隙行和一个间隙列Golomb Costas序列设计跳频码能获得理想的自相关特性,并且当无线通信系统中多普勒频移受限时能获得极佳的互相关性能。
[Abstract]:This paper introduces several sequences which are widely used in data encryption, spread spectrum communication, radar, sonar and wireless communication, such as Gold sequence, GMW sequence, Kasami sequence, Bent sequence, Barker sequence, m sequence, etc. Costas sequence. Based on the principle and method of shift register, finite field and number theory, the structures, generating methods and characteristics of these sequences are discussed. This paper systematically summarizes the signal design methods with good correlation up to now, expounds the achievements in calculating autocorrelation functions and cross-correlation functions of the above sequences, and gives the corresponding simulation results. The Costas sequence, a two-dimensional sequence, is studied in detail. In this paper, the properties of Welch Costas and Golomb Costas sequences obtained by cyclic displacement method are studied, and the structural theory of Welch Costas with a gap row or a gap column and a Golomb Costas sequence with a gap row and a gap column is established. In this paper, the algebraic structure, construction method and self-correlation properties of Welch Costas with a gap row or gap column and Golomb Costas sequence with a gap row and a gap column are studied in depth, and the related theorems are proved. In this paper, the method of designing frequency hopping pattern in OFDM system by using Welch Costas with one gap row or gap column and Golomb Costas sequence with one gap row and one gap column is explored. An example is given to illustrate how to design frequency hopping codes and how to assign frequency hopping codes to users in OFDM systems. An ideal autocorrelation property can be obtained by using Welch Costas with a gap row or gap column and Golomb Costas sequence with a gap row and a gap column to design the hopping code. And when Doppler shift is limited in wireless communication system, excellent cross-correlation performance can be obtained.
【学位授予单位】：南京邮电大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TN911.7

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