奇周期最佳几乎二进序列偶理论研究

Research on Odd-Periodic Perfect Almost Binary Sequence Pair

提出了一种新的具有良好奇周期相关特性的最佳离散信号———奇周期最佳几乎二进序列偶.奇周期最佳几乎二进序列偶中2个序列中均有一个元素为“0”元素,其他元素取值均为“+1”或“-1”,并且其奇周期自相关函数为单值脉冲函数.同时研究了奇周期最佳几乎二进序列偶的变换性质和频谱特性,给出了一些组合允许条件.研究结果表明,奇周期最佳几乎二进序列偶扩大了奇周期最佳几乎二进序列的存在空间,且为奇周期最佳几乎二进序列偶中2个序列相同时的特殊情况.

A new kind of perfect discrete signal with good odd-periodic correlation function is presented. It is odd-periodic perfect almost binary sequence pair. The elements of each sequence in odd-periodic perfect almost binary sequence pair are ＂1＂ or ＂ - 1＂ with exception of a single zero element, and odd-periodic perfect almost binary sequence pair possess a perfect odd-autocorrelation function. The transformation features and Fourier spectrum of odd-periodic perfect almost binary sequence pair are studied. Some combined admissibility conditions are also given out. It is found that odd-periodic perfect almost binary sequence pair spreads the existing range of odd-periodic perfect almost binary sequence and odd-periodic perfect almost binary sequence is a special case when the two sequences in the odd-periodic perfect almost binary sequence pair are same.