基于分圆类的完备高斯整数序列构造

Construction of Perfect Gaussian Integer Sequences Based on Cyclotomic Classes

完备高斯整数序列(PGIS)应用于扩频通信系统不仅能抑制干扰,而且可以获得高的传速率和频谱利用率,因此本文基于分圆类提出一类与现有PGIS参数不同的奇长度PGIS的构造方法,PGIS的电平数(degree)为2和3,并且利用系数序列和交织方法将奇数长PGIS扩展为偶数长PGIS.在一定条件下,基于分圆类的构造方法,可以获得大量高能量效率PGIS,最大能量效率接近1,这对工程应用具有重要的实际意义,本文的构造结果可为宽带扩频通信系统提供更多的地址选择空间.

Perfect Gaussian integer sequences(PGIS) applied to spread spectrum communication systems can not only restrain disturbance,but also obtain high transmission efficiency and spectrum efficiency.Therefore,this paper presents a class of PGIS with odd length and nonzero level(i.e.degree) for 2 and 3 based on cyclotomic classes.Simultaneously,using coefficient sequence and interleaving method,the odd length PGIS is extended to even length PGIS.Under certain conditions,based on the construction method of cyclotomic classes,a large number of high energy efficiency PGIS can be obtained,and the maximum energy efficiency is close to 1,which is of great practical significance to the engineering application.The result of this paper provides more address selection space for broadband spread spectrum communication systems.