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在以往的文献中缺少对由大小不等的子阵列组成的均匀相控阵所进行的分析和系统设计，尽管这样的结构要求频带宽度较宽的波束控制。我们预计，通过阵列栅瓣，大小不等的子阵列可以形成大小均等且邻接的子阵列。本文所研究的是一种被分割为大小随机且邻接的子阵列的均匀线性阵列，每一阵列单元与一移相器相连，而每一子阵列又装备有一个普通的延时器。本文推导了关于平均阵列系数和阵列系数方差的闭型表达式，这些表达式使我们能够制定一种设计步骤，该步骤包括利用栅瓣超过一理想电平的概率来估算峰值栅瓣电平。
In the past literature, there was a lack of analysis and system design for a uniform phased array of sub-arrays of different sizes, although such a structure requires wide bandwidth control of beams. We anticipate that subarrays of different sizes can form sub-arrays of equal size and contiguity through array grating lobes. What we have studied here is a uniform linear array of sub-arrays divided into random and contiguous sizes, with each array element connected to a phase shifter, each of which is in turn equipped with an ordinary delay. This paper derives closed-form expressions for the mean and array coefficient variances that enable us to devise a design step that involves estimating the peak grating lobe level using the probability that the grating lobes exceed an ideal level.