利用列的循环移位构造矩阵
Matrix Construction Using Cyclic Shifts of a Column
摘要：
本文描述了从噪声列的循环移位中综合具有良好相关性的矩阵。只要移位序列满足常差性质，就产生最佳矩阵。已知的具有常差（或几乎常差）性质的移位序列有：二次（多项式）和倒数移位模素数，指数移位，勒让德移位，Zech对数移位，以及一些m-阵列的移位序列。我们使用这些移位序列产生阵列的数字图像水印。矩阵也可以通过对角展开（相关性没有恶化）或逐行展开（相关性有一定程度的恶化）展开为长序列。
英文摘要：
This paper describes the synthesis of matrices with good correlation, from cyclic shifts of pseudonoise columns. Optimum matrices result whenever the shift sequence satisfies the constant difference property. Known shift sequences with the constant (or almost constant) difference property are: Quadratic (Polynomial) and Reciprocal Shift modulo prime, Exponential Shift, Legendre Shift, Zech Logarithm Shift, and the shift sequences of some m-arrays. We use these shift sequences to produce arrays for watermarking of digital images. Matrices can also be unfolded into long sequences by diagonal unfolding (with no deterioration in correlation) or row-by-row unfolding, with some degradation in correlation.
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