Binary sequences with Gold-like correlation but larger linear span
Binary sequences with Gold-like correlation but larger linear span
复制标题
DOI：
10.1109/18.312181
复制
发表时间：
1994-03
期刊：
影响因子：
--
通讯作者：
S. Boztaş;P. V. Kumar
中科院分区：
文献类型：
--
作者：
S. Boztaş;P. V. Kumar
提出了一种新的最优二元序列构造，在最大非平凡相关幅度和族大小方面与众所周知的 Gold 序列族相同，但具有更大的线性跨度。确定相关值的分布。对于每个奇数整数 /spl tau//spl ges/3，该构造提供了一个包含 2/sup /spl tau//+1 个循环不同序列的族，每个周期为 2/sup /spl tau//-1。最大非平凡相关幅度等于 2(/spl tau/+1)/sup /2/+1，除了一个例外，族中的每个序列都至少具有线性跨度 (/spl tau//sup 2/-/spl tau/)/2（与 Gold 序列的 2/spl tau/ 相比）。使用四进制移位寄存器和简单的前馈非线性可以轻松实现这些序列。 >
A new construction of optimal binary sequences, identical to the well known family of Gold sequences in terms of maximum nontrivial correlation magnitude and family size, but having larger linear span is presented. The distribution of correlation values is determined. For every odd integer /spl tau//spl ges/3, the construction provides a family that contains 2/sup /spl tau//+1 cyclically distinct sequences, each of period 2/sup /spl tau//-1. The maximum nontrivial correlation magnitude equals 2(/spl tau/+1)/sup /2/+1, with one exception, each of the sequences in the family has linear span at least (/spl tau//sup 2/-/spl tau/)/2 (compared to 2/spl tau/ for Gold sequences). The sequences are easily implemented using a quaternary shift register followed by a simple feedforward nonlinearity. >