Lower Bounds on Two-Dimensional Generalized Orthogonal Sequences
Lower Bounds on Two-Dimensional Generalized Orthogonal Sequences
复制标题
二维广义正交序列的下界
DOI：
10.1093/ietfec/e89-a.4.1140
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发表时间：
2006-04
期刊：
影响因子：
--
通讯作者：
Lijia Ge（葛利嘉）
中科院分区：
文献类型：
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作者：
Fanxin Zeng(曾凡鑫);Zhenyu Zhang（张振宇）;Lijia Ge（葛利嘉）
二维广义正交（GO）序列，即具有零相关区（ZCZ）的二维序列和具有ZCZ的二维互补正交（CO）序列，在图像、通信和信号处理等领域有着广泛的应用。基于矩阵秩理论，导出并给出了二维GO序列的新下界，并给出了达到这些下界的例子。作为我们结果的直接应用，我们给出了Luke [9]定义的2-D互补正交（MCO）码族大小的上界.
For various applications in image, communications and signal processing, two-dimensional (2-D) generalized orthogonal (GO) sequences, that is, 2-D sequences with zero correlation zone (ZCZ) and 2-D complementary orthogonal (CO) sequences with ZCZ, are widely investigated. New lower bounds for 2-D GO sequences, based on matrix theory on rank, are derived and presented, some examples that attain these lower bounds are given. As a direct application to our results, upper bound on family size of 2-D mutually complementary orthogonal (MCO) codes defined by Luke [9] is proposed.