二元二值周期自相关序列偶的应用研究

Research on Application of Binary Sequence Pair with Two-Level Periodic Autocorrelation

该文提出了正交矩阵偶的概念,它是正交矩阵的一种扩展,尤其二元正交矩阵偶不受阶数应为2的幂次的限制。应用二元二值周期自相关序列偶,提出了一种构造二元正交矩阵偶的方法和一种构造正交序列偶集的方法,还提出了一种利用正交矩阵偶或正交矩阵结合正交序列偶集交织构造适于准同步码分多址通信系统应用的二元零相关区序列偶集的新方法,通过对二元二值周期自相关序列偶的选择可使构造的零相关区序列偶集获得高的能量效率,并可使集合的序列偶数量,零相关区长度及序列偶长度参数接近最大理论限。

A new concept of orthogonal matrix pair is presented, which is the extension of orthogonal matrix, and especially the binary orthogonal matrix pair is not restricted by the fact that the order of matrix should be the power of 2. Based on the binary sequence pair with two-level periodic autocorrelation, the binary orthogonal matrix pair and orthogonal sequence pair set are constructed. By interleaved technology, a new class of binary Zero Correlation Zone （ZCZ） sequence pair sets applied to Quasi-Synchronous Code Division Multiple Access （QS-CDMA） is constructed from the binary orthogonal matrix pair or orthogonal matrix and orthogonal sequence pair set. In order to achieve greater energy efficiency and upper theory bound of binary ZCZ sequence pair sets, it is necessary to select appropriate binary sequence pairs with two-level periodic autocorrelation.