论文标题
多维Costas阵列及其周期性
Multidimensional Costas Arrays and Their Periodicity
论文作者
论文摘要
引入了针对Costas阵列的新型高维定义。该定义适用于任意维度，并避免了先前定义的某些局限性。当阵列定期在整个空间中定期扩展阵列时，给出了保留Costas条件的多维Costas阵列的一些不存在结果。特别是，这表明具有此属性的三维阵列必须具有最小的顺序；泰勒H. taylor扩展了类似的二维结果。该结果被猜想扩展了任意维度的Costas阵列。
A novel higher-dimensional definition for Costas arrays is introduced. This definition works for arbitrary dimensions and avoids some limitations of previous definitions. Some non-existence results are presented for multidimensional Costas arrays preserving the Costas condition when the array is extended periodically throughout the whole space. In particular, it is shown that three-dimensional arrays with this property must have the least possible order; extending an analogous two-dimensional result by H. Taylor. Said result is conjectured to extend for Costas arrays of arbitrary dimensions.
