【摘要】 本文利用环Zpl上线性递归序列的最高坐标构造了一类序列数目众多的p元序列族,这里p为奇素数且整数l不小于2.对具体可用序列的条数进行了估计.同时利用Galois环上的指数和估计以及Zpl的加法群上的谱分析对该序列族的相关性进行了详细分析,得到了其非同步自相关性及互相关性的估计.结果表明,所构造的序列具有极低的相关性,其相关性的模值具有与Welch下界相同的数量级,可以作为CDMA通信系统中的码序列.更多还原

【Abstract】 A new family of p-phase sequences with large family size is constructed,where p is an odd prime.The technique employed uses the highest coordinate of some linear recurrence sequences over the ring Zpl,for any integer l which is greater than or equal to 2.The size of the family is estimated.Based on Galois ring theory(the local Weil bound) and spectral analysis over the additive group of Zpl,we analyze the correlation properties of the sequences in detail and derive an estimate of the nontrivial autocorrelation and crosscorrelation of the sequences.The result shows that these sequences have low correlation,which makes it possible as code sequences in CDMA communication systems.更多还原