作　　者： ; ; (王增法）;

机构地区： 郑州信息工程学院

出　　处： 《通信学报》 1990年第2期1-6,40,共7页

摘　　要： 文献[1]给出了一类伪随机采样序列——下标序列的定义,并在一般意义下给出了它们的生成多项式和极小多项式。本文在定义1及2的条件下,当(M,p)=1时,分别对(q,p)=1和(q,p)≠1的情况进行了讨论(当(q,p)=1时,推广了文献[1]的结果),证明了只要稍加限制,在两种情况下均可使极小多项式达到h(x^q),复杂度为q,周期为q.p,其中h(x)为GF(2)上指数为p的n级不可约多项式。 In reference [1], a class of pseudo-random decimated sequences named subscript sequences was given and discussed. In this paper, let be a subscript-decimation function of module M and period q (Df. 1), (yt) be a linear shift register (LSR) sequence of order n and period p on GF (2), and (ut)= (ym1) be the subscript sequence of (yt) determined by (Df. 2). Set (M, p) = 1, we investigate the sequence (ut) in two cases (q, p)=1 and (q, p)≠1 (if (q, p)= 1, the results in reference[1] are generalized) Imposing some loose restrictions We show that, in both cases, (ut) always has minimum polynomial h(xq), h(x) is an irreducible polynomial of exponent p and degree n over GF (2). So its complexity is nq and its period is pq.

关 键 词： 伪随机 采样系列 电磁波 电波传插

领　　域： [电子电信]