【摘要】：在跳頻通信系統(tǒng)中,跳頻序列扮演著非常重要的角色。跳頻序列特性的好壞很大程度上決定了跳頻通信系統(tǒng)多址干擾的大小,因而直接影響著跳頻通信系統(tǒng)性能的優(yōu)劣。跳頻序列的研究主要包括跳頻序列的理論界以及跳頻序列的設(shè)計兩個方面。在跳頻序列的理論界方面,本文主要研究了低碰撞區(qū)跳頻序列集關(guān)于最大非周期漢明相關(guān)函數(shù)的理論界、低碰撞區(qū)跳頻序列集關(guān)于最大部分漢明相關(guān)函數(shù)的理論界以及無碰撞區(qū)跳頻序列集的理論界等。在跳頻序列的設(shè)計方面,本文主要研究了具有最優(yōu)平均周期漢明相關(guān)的跳頻序列集、具有最優(yōu)最大周期漢明相關(guān)的低碰撞區(qū)跳頻序列集、具有最優(yōu)最大周期部分漢明相關(guān)的低碰撞區(qū)跳頻序列集以及最優(yōu)無碰撞區(qū)跳頻序列集的構(gòu)造與性能分析等。首先,建立了低碰撞區(qū)跳頻序列集的序列數(shù)目、頻隙個數(shù)、序列長度、低碰撞區(qū)和低碰撞區(qū)內(nèi)的最大非周期漢明自相關(guān)函數(shù)值、最大非周期漢明互相關(guān)函數(shù)值這六個參數(shù)所滿足的不等式,導(dǎo)出了低碰撞區(qū)跳頻序列集關(guān)于最大非周期漢明相關(guān)函數(shù)值的新理論界。新界包含了跳頻序列集在低碰撞區(qū)內(nèi)的最大非周期漢明自相關(guān)函數(shù)值和最大非周期漢明互相關(guān)函數(shù)值的二次項。同時,導(dǎo)出了常規(guī)跳頻序列集關(guān)于最大非周期漢明相關(guān)函數(shù)值的新理論界。建立了低碰撞區(qū)跳頻序列集的序列數(shù)目、頻隙個數(shù)、序列長度、低碰撞區(qū)和低碰撞區(qū)內(nèi)的最大周期部分漢明自相關(guān)函數(shù)值、最大周期部分漢明互相關(guān)函數(shù)值這六個參數(shù)所滿足的不等式,導(dǎo)出了低碰撞區(qū)跳頻序列集關(guān)于最大周期部分漢明相關(guān)函數(shù)值的新理論界。這些新理論界與相應(yīng)的已有的理論界相比較,更精確。另外,給出了無碰撞區(qū)跳頻序列集的一些重要性質(zhì),討論了現(xiàn)有的無碰撞區(qū)跳頻序列集理論界,揭示了幾個理論界之間的關(guān)系,給出了這些理論界之間的等價條件。接著,深入研究了跳頻序列集的平均周期漢明相關(guān)函數(shù)的性質(zhì),給出了跳頻序列集具有最優(yōu)平均周期漢明相關(guān)的充分必要條件�；谟邢抻蛏系亩囗検嚼碚�,構(gòu)造了一類具有最優(yōu)平均周期漢明相關(guān)的跳頻序列集。新型跳頻序列集包括已有的3次+常數(shù)跳頻序列集作為特殊情況。利用交織技術(shù),給出了構(gòu)造具有最優(yōu)平均周期漢明相關(guān)特性的跳頻序列集的新方法。利用新方法,構(gòu)造了幾類具有新參數(shù)的最優(yōu)平均周期漢明相關(guān)跳頻序列集。該構(gòu)造方法包括了Chung和Yang的構(gòu)造方法作為特殊情況。然后,基于m-序列及其抽樣序列,分別構(gòu)造了兩類具有最優(yōu)最大周期漢明相關(guān)的低碰撞區(qū)跳頻序列集。新構(gòu)造的低碰撞區(qū)跳頻序列集具有新參數(shù)并且包括了Ding和Yin構(gòu)造的跳頻序列集作為特殊情況。另外,給出了構(gòu)造最優(yōu)無碰撞區(qū)跳頻序列集的一般化方法。利用新構(gòu)造方法,可以生成任意長度的最優(yōu)無碰撞區(qū)跳頻序列集。并且,任意一個最優(yōu)無碰撞區(qū)跳頻序列集,都可以由該一般化構(gòu)造方法生成。最后,證明了在一定條件下不存在對所有相關(guān)窗長度關(guān)于理論界最優(yōu)的低碰撞區(qū)跳頻序列集。給出了低碰撞區(qū)跳頻序列集具有嚴(yán)格最優(yōu)平均周期部分漢明相關(guān)的充分條件。利用交織技術(shù),給出了構(gòu)造對所有相關(guān)窗長度關(guān)于理論界最優(yōu)的低碰撞區(qū)跳頻序列集的新方法。利用新的交織構(gòu)造法,得到了幾類對所有相關(guān)窗長度關(guān)于理論界最優(yōu)的低碰撞區(qū)跳頻序列集。利用交織技術(shù),基于m-序列,構(gòu)造了一類對某些特定的相關(guān)窗長度關(guān)于理論界最優(yōu)的低碰撞區(qū)跳頻序列集。另外,利用級聯(lián)技術(shù),給出了構(gòu)造對某些特定的相關(guān)窗長度關(guān)于理論界最優(yōu)的低碰撞區(qū)跳頻序列集和具有嚴(yán)格最優(yōu)平均周期部分漢明相關(guān)的低碰撞區(qū)跳頻序列集的新方法。利用新的級聯(lián)構(gòu)造法,得到了幾類對某些特定的相關(guān)窗長度關(guān)于理論界最優(yōu)的低碰撞區(qū)跳頻序列集。
[Abstract]:Frequency hopping sequences play a very important role in frequency hopping communication systems. The characteristics of frequency hopping sequences largely determine the size of multiple access interference in frequency hopping communication systems, and thus directly affect the performance of frequency hopping communication systems. In this paper, we mainly study the theoretical bounds of the maximum aperiodic Hamming correlation function, the theoretical bounds of the maximum Hamming correlation function and the frequency hopping sequence set in the low collision region. In this paper, we mainly study the frequency hopping sequence set with the optimal average period Hamming correlation, the frequency hopping sequence set with the optimal maximum period Hamming correlation, the frequency hopping sequence set with the optimal maximum period Hamming correlation, and the construction and performance analysis of the optimal frequency hopping sequence set with the optimal maximum period Hamming correlation. The inequalities of the six parameters of the frequency hopping sequence set in the low collision region, such as the number of sequences, the number of frequency gaps, the length of sequences, the maximum aperiodic Hamming autocorrelation function and the maximum aperiodic Hamming cross correlation function in the low collision region and the low collision region are derived. The new theorem includes the quadratic terms of the maximum aperiodic Hamming autocorrelation function and the maximum aperiodic Hamming cross correlation function of the frequency hopping sequence set in the low impact region. The inequalities satisfied by the six parameters, i.e. the number of columns, the number of frequency gaps, the length of sequences, the maximum periodic Hamming autocorrelation function in the low collision region and the maximum periodic Hamming cross correlation function in the low collision region, are derived. In addition, some important properties of frequency hopping sequence set in non-collision region are given, the existing theoretical bounds of frequency hopping sequence set in non-collision region are discussed, the relations among several theoretical bounds are revealed, and the equivalent conditions between these theoretical bounds are given. Then, the frequency hopping sequence set is studied in depth. The properties of the average periodic Hamming correlation function of a set are given. The necessary and sufficient conditions for the optimal average periodic Hamming correlation of a set of frequency hopping sequences are given. Based on the polynomial theory over finite fields, a class of frequency hopping sequences with optimal average periodic Hamming correlation is constructed. As a special case, a new method to construct a set of frequency hopping sequences with optimal mean periodic Hamming correlation is presented by using interleaving technique. By using the new method, several optimal mean periodic Hamming correlation frequency hopping sequences with new parameters are constructed. Based on m-sequences and their sampling sequences, two kinds of frequency-hopping sequences with optimal maximum period Hamming correlation are constructed. The newly constructed frequency-hopping sequences with new parameters and the frequency-hopping sequences with Ding and Yin constructions are considered as special cases. In addition, the optimal frequency-hopping sequence set with no collision region is constructed. By using the new construction method, the optimal set of frequency hopping sequences in collision-free region of arbitrary length can be generated. Moreover, any optimal set of frequency hopping sequences in collision-free region can be generated by the generalized construction method. Finally, it is proved that under certain conditions there is no low collision with respect to the optimal length of all correlation windows in the theoretical domain. A set of frequency hopping sequences in the region of low collision is presented. Sufficient conditions are given for the set of frequency hopping sequences in the region of low collision to have a strictly optimal mean periodic partial Hamming correlation. By using interleaving technique, a new method for constructing the set of frequency hopping sequences in the region of low collision with respect to all correlation window lengths is presented. By using interleaving technique and m-sequence, a kind of frequency hopping sequence set in low collision region with respect to the optimal length of some specific correlation windows is constructed. In addition, by using cascade technique, a low collision sequence set with respect to the optimal length of some specific correlation windows is constructed. A new method of frequency hopping sequence set in collision region and frequency hopping sequence set in low collision region with strict optimal mean periodic partial Hamming correlation is presented.
【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】：2016
【分類號】：TN914.41

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相關(guān)期刊論文 前6條

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本文編號：2213323