One-Dimensional MODE Algorithm for Two-Dimensional Frequency Estimation
One-Dimensional MODE Algorithm for Two-Dimensional Frequency Estimation
复制标题
用于二维频率估计的一维 MODE 算法
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
P. Stoica
中科院分区：
文献类型：
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作者：
Dunmin Zheng;Jian Li;P. Stoica
本文描述了如何利用计算效率高的一维MODE（1D-MODE）算法来估计二维复正弦信号的频率。我们证明了1D-MODE算法在计算上比渐近统计有效的2D-MODE算法更有效，特别是当空间测量数很大时，有趣的是，我们证明了1D-MODE算法在高信噪比下是渐近统计有效的。我们还表明，虽然1D-MODE是不再prosticallyefficient时，时间快照的数量是大的，thepperformance的1D-MODE仍然可以非常接近的2D-MODE在温和的条件下。最后给出了数值算例，比较了1D-MODE和2D-MODE算法的性能。
In this paper, we describe how the computationally efficientone-dimensional MODE (1D-MODE) algorithm can be used to estimatethe frequencies of two-dimensional complex sinusoids. We showthat the 1D-MODE algorithm is computationally more efficientthan the asymptotically statistically efficient 2D-MODE algorithm,especially when the numbers of spatial measurements are large.Interestingly enough, we prove that the 1D-MODE algorithm isasymptotically statistically efficient for high signal-to-noiseratio. We also show that although 1D-MODE is no longer statisticallyefficient when the number of temporal snapshots is large, theperformance of 1D-MODE can still be very close to that of the2D-MODE under mild conditions. Numerical examples comparing theperformances of the 1D-MODE and 2D-MODE algorithms are alsopresented.