论文标题
扩展（常规）联合阵列和差异集分析：低潜伏期方法
Extended (Conventional) Co-Prime Arrays and Difference Set Analysis: Low Latency Approach
论文作者
论文摘要
联合阵容是用于估计二阶统计信息的子nyquist收购方案。它无法在共晶范围内生成所有差异值，因此，该子阵列之一被扩展以启用在共晶范围内每个差值下的二阶统计信息的估计。最近，研究了联合阵列的差异集，并证明了低潜伏期的时间频谱估计。在本文中，开发了扩展的联合阵列差异集的基础，也称为常规的联合阵列。描述了权重函数，相关图偏置窗口和方差的闭合形式。这是针对整个差异集，连续差异集以及原型共同期间提供的。结果表明，$ M \ of frac {n} {2} $的选择会在主路线和侧面驾驶峰之间产生一个偏置功能，其中$ m $和$ n $是共rime Prime对。得出了计算整个，连续和原型范围的自相关所需的乘法数量和添加的表达式。仿真结果表明使用相关方法估计低潜伏期频谱。
The co-prime array is a sub-Nyquist acquisition scheme for the estimation of second order statistics. It cannot generate all the difference values in the co-prime range and hence, one of the sub-array is extended to enable the estimation of the second order statistics at each difference value in the co-prime range. Recently, the difference set for the co-prime array was studied and low latency temporal spectrum estimation was demonstrated. In this paper, the fundamentals of the difference set of the extended co-prime array, also known as the conventional co-prime array, is developed. The closed-form equations for the weight function, correlogram bias window, and the variance are described. This is provided for the entire difference set, continuous difference set and for the prototype co-prime period. It is shown that the choice of $M\approx \frac{N}{2}$ generates a bias function with a large relative amplitude between the main-lobe and side-lobe peaks, where $M$ and $N$ are co-prime pairs. The expressions for the number of multiplications and additions required to compute the autocorrelation for the entire, continuous, and prototype range is derived. Simulation results demonstrate low latency spectrum estimation using the correlogram method.
