低碰撞區(qū)跳頻序列部分漢明相關(guān)特性研究
發(fā)布時(shí)間：2018-07-13 19:57
【摘要】：由于具有較好的抗干擾性能、安全可靠性以及多址等諸多特性,跳頻通信系統(tǒng)在軍事通信領(lǐng)域和民用通信領(lǐng)域都有著廣泛的應(yīng)用。另一方面,跳頻通信系統(tǒng)多址干擾的大小在一定程度上取決于系統(tǒng)所采用的跳頻序列的漢明相關(guān)性能的好壞。因此,跳頻序列在跳頻通信系統(tǒng)中有著很重要的作用。為了滿足實(shí)際通信環(huán)境的要求,低碰撞區(qū)跳頻序列以及部分漢明相關(guān)的概念應(yīng)運(yùn)而生。此外,常規(guī)跳頻序列集是低碰撞區(qū)跳頻序列集在低碰撞區(qū)大小等于序列長度減去1時(shí)的特殊情況,而周期漢明相關(guān)(或非周期漢明相關(guān))是部分漢明相關(guān)在相關(guān)窗長度等于序列長度(或序列長度減去時(shí)延長度)時(shí)的特殊情況。跳頻序列的理論研究主要包括跳頻序列的理論界以及設(shè)計(jì)能夠達(dá)到或者接近理論界的跳頻序列兩個(gè)方面。本文主要研究了跳頻序列集部分漢明相關(guān)函數(shù)平均值的理論界、低碰撞區(qū)跳頻序列集部分漢明相關(guān)函數(shù)最大值的理論界、具有優(yōu)良周期漢明相關(guān)性質(zhì)的低碰撞區(qū)跳頻序列集、具有最優(yōu)部分漢明相關(guān)性質(zhì)的低碰撞區(qū)跳頻序列集以及具有優(yōu)良非周期漢明相關(guān)性質(zhì)的跳頻序列集。首先,研究了常規(guī)跳頻序列集在給定序列長度、序列個(gè)數(shù)、頻隙個(gè)數(shù)的情況下,其部分漢明自相關(guān)函數(shù)的平均值及其部分漢明互相關(guān)函數(shù)的平均值應(yīng)受的理論約束,建立了新的常規(guī)跳頻序列集部分漢明相關(guān)函數(shù)平均值的理論界。研究了低碰撞區(qū)跳頻序列集在給定序列長度、序列個(gè)數(shù)、頻隙個(gè)數(shù)、低碰撞區(qū)大小、相關(guān)窗長度的情況下,其在低碰撞區(qū)內(nèi)的部分漢明相關(guān)函數(shù)的最大值應(yīng)受的理論約束,建立了新的低碰撞區(qū)跳頻序列集部分漢明相關(guān)函數(shù)最大值的理論界。和已有的相關(guān)跳頻序列理論界相比,這兩個(gè)新的跳頻序列理論界更緊。其次,基于m-序列的優(yōu)異移位相加性質(zhì)以及理想k元組分布特性,利用m-序列及其抽樣序列,構(gòu)造了兩類具有最優(yōu)周期漢明相關(guān)性質(zhì)的低碰撞區(qū)跳頻序列集。此外,利用m-序列的抽樣序列,構(gòu)造了一類在所有相關(guān)窗長度下都能具有最優(yōu)部分漢明相關(guān)性質(zhì)的低碰撞區(qū)跳頻序列集。接著,研究了在有移位序列和沒有移位序列的情況下,利用交織技術(shù)構(gòu)造低碰撞區(qū)跳頻序列集的方法,給出了三類擁有不同參數(shù)并且能夠具有優(yōu)良周期漢明相關(guān)性質(zhì)的低碰撞區(qū)跳頻序列集。然后,利用笛卡爾乘積理論,給出了三種新的低碰撞區(qū)跳頻序列集的構(gòu)造。其中,第一種構(gòu)造重點(diǎn)關(guān)注了新構(gòu)造的跳頻序列集在低碰撞區(qū)內(nèi)的周期漢明相關(guān)函數(shù)的最大值,而剩下的兩種構(gòu)造重點(diǎn)關(guān)注了新構(gòu)造的跳頻序列集在低碰撞區(qū)內(nèi)的部分漢明相關(guān)函數(shù)的最大值。此外,基于有限域中的二次多項(xiàng)式,構(gòu)造了一類具有最優(yōu)部分漢明相關(guān)性質(zhì)的跳頻序列集并將其作為其中的一類基序列集。基于以上三種低碰撞區(qū)跳頻序列集的構(gòu)造,選擇合適的基序列集,得到了六類新的低碰撞區(qū)跳頻序列集。其中,前兩類低碰撞區(qū)跳頻序列集具有最優(yōu)周期漢明相關(guān)性質(zhì),而剩下的四類低碰撞區(qū)跳頻序列集在所有相關(guān)窗長度下都能具有最優(yōu)部分漢明相關(guān)性質(zhì)。最后,利用具有最優(yōu)部分漢明相關(guān)性質(zhì)的跳頻序列集,研究了一種構(gòu)造新的跳頻序列集的方法。利用這種構(gòu)造方法,我們可以對新的跳頻序列集的參數(shù)進(jìn)行靈活地選取,從而得到一大批新的跳頻序列集。此外,在某些參數(shù)條件下,新的跳頻序列集能夠具有優(yōu)良非周期漢明相關(guān)性質(zhì)。基于已有的兩類具有最優(yōu)部分漢明相關(guān)性質(zhì)的跳頻序列集,得到了兩類新的能夠具有優(yōu)良非周期漢明相關(guān)性質(zhì)的跳頻序列集。另外,只要選定了基序列集,借助于Matlab平臺(tái),我們可以將所有可能得到的新的跳頻序列集的非周期漢明相關(guān)性能分析出來。這樣就可以為選擇合適的新的跳頻序列集參數(shù)提供很大的便利。
[Abstract]:Because of its good anti-jamming performance, security, reliability and multiple access, frequency hopping communication systems are widely used in both military and civil communication fields. On the other hand, the size of multiple access interference in the frequency hopping communication system depends to some extent on the Hamming performance of the frequency hopping sequence used by the system. Therefore, the frequency hopping sequence plays an important role in the frequency hopping communication system. In order to meet the requirements of the actual communication environment, the frequency hopping sequence of the low collision area and some related concepts of Hamming have emerged. In addition, the conventional frequency hopping sequence set is the special of the low collision region frequency hopping sequence set at the lower collision area for 1 subtracted the sequence length. However, the periodic Hamming correlation (or the correlation of the non periodic Hamming) is the special case of some Hamming related window lengths equal to the length of the sequence (or the length of the sequence minus the length of the delay). The theoretical study of the frequency hopping sequence mainly includes the theoretical circle of the frequency hopping sequence and the design of two frequency hopping sequences that can reach or close to the theoretical circle. In this paper, we mainly study the theorists of the mean value of the Hamming correlation function of the frequency hopping sequence set, the theorists of the maximum value of the Hamming correlation function in the low collision region frequency hopping sequence set, the low collision zone frequency hopping sequence with good periodic Hamming correlation properties, and the low collision frequency hopping sequence set with the best part of the Hamming correlation. First, we study the theoretical constraints of the average value of the autocorrelation function and the mean value of some Hamming intercorrelation functions of the conventional frequency hopping sequence set in the case of the given sequence length, the number of sequence and the number of the frequency gap, and a new conventional frequency hopping sequence is established. The theoretical bounds of the mean value of the part of the Hamming correlation function are discussed. The theoretical constraints on the maximum value of the partial Hamming correlation function in the low collision area should be constrained by the theoretical constraints of the maximum value of the partial Hamming correlation function in the low collision area, and a new low collision Zone frequency hopping is established. The theorists of the maximum value of the partially Hamming correlation function of the sequence set. Compared with the theorists of the related frequency hopping sequences, the two new frequency hopping sequences have more tight theorists. Secondly, based on the excellent shift addition properties of the m- sequences and the distribution characteristics of the ideal K tuples, the two classes of optimal periodic Han Mingxiang are constructed by using the m- sequence and its sampling sequence. In addition, using the sampling sequence of m- sequences, a class of low collision frequency hopping sequences with the best part of Hamming correlation in all the correlation window lengths is constructed. Then, the interleaving technique is used to construct low collision zone jumping with the displaced sequence and no shift sequence. The method of frequency sequence set gives three classes of low collision frequency hopping sequences with different parameters and can have good periodic Hamming correlation properties. Then, three new low collision zone frequency hopping sequences are constructed by using the Descartes product theory. The first kind of construction focuses on the low frequency hopping sequence set in the new construction. The maximum value of the periodic Hamming correlation function in the collision area, while the remaining two structures focus on the maximum value of the partial Hamming correlation function of the new constructed frequency hopping sequence set in the low collision area. In addition, based on the two polynomial in the finite field, a class of frequency hopping sequences with the best part of the Hamming correlation is constructed and it is constructed. As a class of base sequence sets, based on the construction of the three low collision zone frequency hopping sequences, six kinds of new low collision zone frequency hopping sequences are obtained. Among them, the first two types of low collision zone frequency hopping sequences have the optimal periodic Hamming correlation property, while the remaining four class of low collision zone frequency hopping sequences are set at the same time. In the end, a new method of constructing a new frequency hopping sequence set is studied by using the set of frequency hopping sequences with the best part of Hamming correlation. By using this method, we can select a large number of parameters of the new frequency hopping sequence set so as to get a large number of them. In addition, under some parameter conditions, the new frequency hopping sequence sets can have excellent non periodic Hamming correlation properties. Based on the two classes of frequency hopping sequences which have the best part of the Hamming correlation, two classes of new frequency hopping sequences with excellent aperiodic correlation properties are obtained. With the help of the Matlab platform, we can analyze the non periodic Hamming performance of all the possible new frequency hopping sequences. This can provide a great convenience for selecting the appropriate new frequency hopping sequence set parameters.
【學(xué)位授予單位】：西南交通大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2017
【分類號(hào)】：TN914.41
本文編號(hào)：2120569
[Abstract]:Because of its good anti-jamming performance, security, reliability and multiple access, frequency hopping communication systems are widely used in both military and civil communication fields. On the other hand, the size of multiple access interference in the frequency hopping communication system depends to some extent on the Hamming performance of the frequency hopping sequence used by the system. Therefore, the frequency hopping sequence plays an important role in the frequency hopping communication system. In order to meet the requirements of the actual communication environment, the frequency hopping sequence of the low collision area and some related concepts of Hamming have emerged. In addition, the conventional frequency hopping sequence set is the special of the low collision region frequency hopping sequence set at the lower collision area for 1 subtracted the sequence length. However, the periodic Hamming correlation (or the correlation of the non periodic Hamming) is the special case of some Hamming related window lengths equal to the length of the sequence (or the length of the sequence minus the length of the delay). The theoretical study of the frequency hopping sequence mainly includes the theoretical circle of the frequency hopping sequence and the design of two frequency hopping sequences that can reach or close to the theoretical circle. In this paper, we mainly study the theorists of the mean value of the Hamming correlation function of the frequency hopping sequence set, the theorists of the maximum value of the Hamming correlation function in the low collision region frequency hopping sequence set, the low collision zone frequency hopping sequence with good periodic Hamming correlation properties, and the low collision frequency hopping sequence set with the best part of the Hamming correlation. First, we study the theoretical constraints of the average value of the autocorrelation function and the mean value of some Hamming intercorrelation functions of the conventional frequency hopping sequence set in the case of the given sequence length, the number of sequence and the number of the frequency gap, and a new conventional frequency hopping sequence is established. The theoretical bounds of the mean value of the part of the Hamming correlation function are discussed. The theoretical constraints on the maximum value of the partial Hamming correlation function in the low collision area should be constrained by the theoretical constraints of the maximum value of the partial Hamming correlation function in the low collision area, and a new low collision Zone frequency hopping is established. The theorists of the maximum value of the partially Hamming correlation function of the sequence set. Compared with the theorists of the related frequency hopping sequences, the two new frequency hopping sequences have more tight theorists. Secondly, based on the excellent shift addition properties of the m- sequences and the distribution characteristics of the ideal K tuples, the two classes of optimal periodic Han Mingxiang are constructed by using the m- sequence and its sampling sequence. In addition, using the sampling sequence of m- sequences, a class of low collision frequency hopping sequences with the best part of Hamming correlation in all the correlation window lengths is constructed. Then, the interleaving technique is used to construct low collision zone jumping with the displaced sequence and no shift sequence. The method of frequency sequence set gives three classes of low collision frequency hopping sequences with different parameters and can have good periodic Hamming correlation properties. Then, three new low collision zone frequency hopping sequences are constructed by using the Descartes product theory. The first kind of construction focuses on the low frequency hopping sequence set in the new construction. The maximum value of the periodic Hamming correlation function in the collision area, while the remaining two structures focus on the maximum value of the partial Hamming correlation function of the new constructed frequency hopping sequence set in the low collision area. In addition, based on the two polynomial in the finite field, a class of frequency hopping sequences with the best part of the Hamming correlation is constructed and it is constructed. As a class of base sequence sets, based on the construction of the three low collision zone frequency hopping sequences, six kinds of new low collision zone frequency hopping sequences are obtained. Among them, the first two types of low collision zone frequency hopping sequences have the optimal periodic Hamming correlation property, while the remaining four class of low collision zone frequency hopping sequences are set at the same time. In the end, a new method of constructing a new frequency hopping sequence set is studied by using the set of frequency hopping sequences with the best part of Hamming correlation. By using this method, we can select a large number of parameters of the new frequency hopping sequence set so as to get a large number of them. In addition, under some parameter conditions, the new frequency hopping sequence sets can have excellent non periodic Hamming correlation properties. Based on the two classes of frequency hopping sequences which have the best part of the Hamming correlation, two classes of new frequency hopping sequences with excellent aperiodic correlation properties are obtained. With the help of the Matlab platform, we can analyze the non periodic Hamming performance of all the possible new frequency hopping sequences. This can provide a great convenience for selecting the appropriate new frequency hopping sequence set parameters.
【學(xué)位授予單位】：西南交通大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2017
【分類號(hào)】：TN914.41
【參考文獻(xiàn)】
相關(guān)期刊論文 前10條
1 WANG ChangYuan;PENG DaiYuan;HAN HongYu;ZHOU LiMengNan;;New sets of low-hit-zone frequency-hopping sequence with optimal maximum periodic partial Hamming correlation[J];Science China(Information Sciences);2015年12期
2 彭代淵;韓鴻宇;;無碰撞區(qū)跳頻/時(shí)序列理論界與設(shè)計(jì)[J];成都信息工程學(xué)院學(xué)報(bào);2015年01期
3 ;Frequency/time hopping sequence sets with optimal partial Hamming correlation properties[J];Science China(Information Sciences);2012年10期
4 劉方;彭代淵;;一類具有最優(yōu)平均漢明相關(guān)特性的跳頻序列族[J];電子與信息學(xué)報(bào);2010年05期
5 葉文霞;范平志;郝莉;;基于無碰撞區(qū)跳頻序列的兩級FFH/MFSK系統(tǒng)[J];西南交通大學(xué)學(xué)報(bào);2010年02期
6 ;On a general class of quadratic hopping sequences[J];Science in China(Series F:Information Sciences);2008年12期
7 汪曉寧;范平志;;無碰撞區(qū)準(zhǔn)同步跳頻通信系統(tǒng)多址干擾性能分析[J];鐵道學(xué)報(bào);2008年05期
8 ;On the linear span of the p-ary cascaded GMW sequences[J];Science in China(Series F:Information Sciences);2007年04期
9 ;CONSTRUCTION OF FREQUENCY HOPPING SEQUENCES WITH NO HIT ZONE[J];Journal of Electronics(China);2007年03期
10 LEE Moon Ho;;Lower bounds on the periodic Hamming correlations of frequency hopping sequences with low hit zone[J];Science in China(Series F:Information Sciences);2006年02期
相關(guān)博士學(xué)位論文 前1條
1 彭代淵;新型擴(kuò)頻序列及其理論界研究[D];西南交通大學(xué);2005年
，本文編號(hào)：2120569
本文鏈接：http://sikaile.net/kejilunwen/xinxigongchenglunwen/2120569.html
最近更新
教材專著
