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扩展三次跳时/跳频序列族研究
On a Class of Extended Cubic Time/Frequency-Hopping Sequences
【Author】 Niu Xianhua Peng Daiyuan School of Information Science and Technology,Southwest Jiaotong University,Chengdu,610031,China.
【机构】 西南交通大学信息科学与技术学院;
【摘要】 本文以有限域上的扩展三次多项式为基础,研究了一种应用于跳时/跳频 CDMA 系统或多用户无线电系统的跳时/跳频序列族。通过研究可以看出,这种跳时/跳频序列平均自碰撞次数为1,平均互碰撞次数小于1。而且序列族中序列的个数比三次序列和三次加线性序列的个数要大。另外,平均碰撞次数作为衡量序列性能的一个重要参数,本文还对扩展三次多项式跳时/跳频序列的平均碰撞次数进行了推导和讨论。
【Abstract】 In this paper,based upon extended cubic polynomials over the finite field,a new class of time/frequency- hopping sequences suitable for applications in time/frequency hopping CDMA systems,multi-user radar and sonar systems is proposed and investigated.It is shown that the new cubic time/frequency-hopping sequences have one hit in their average number of Hamming autocorrelation and less than one hit in their average number of Hamming cross-correlation,and their family size are much larger than the cubic hopping sequences and the cubic+linear congruence hopping sequences.In addition,as the important performance measures,the average number of hits for the extended cubic hopping sequences are derived and discussed.
【Key words】 Code Division Multiple Access; Frequency-Hopping Sequences; Trine-Hopping Sequences; Extended Cubic Sequences;
- 【会议录名称】 2007通信理论与技术新发展——第十二届全国青年通信学术会议论文集(下册)
- 【会议名称】第十二届全国青年通信学术会议
- 【会议时间】2007-08
- 【会议地点】中国北京
- 【分类号】TN914.4
- 【主办单位】中国通信学会青年工作委员会、北方工业大学信息工程学院