空间六边形晶格的时序采样分析

R. M. Cramblitt, J. Allebach
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引用次数: 8

摘要

二维信号的六边形采样被认为是一个有用的替代矩形系统。Mersereau[1]分析了六角形采样,发现当图像为圆形或椭圆形带限时,采样密度比矩形采样系统所需的采样密度低13.6%。Murphy和Gallagher[2]在光学系统的背景下研究了六边形采样。本文研究了时空信号的空间六边形采样。由于在同一时刻获取空间中每个点的样本对于许多应用来说是不切实际的,因此我们将采样约束为时间顺序的。当我们在时间奈奎斯特率以下采样时,我们检查了各种采样模式的性能,并将其与之前分析的相应矩形情况的性能进行了比较[3]。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analysis of Time-Sequential Sampling with a Spatially Hexagonal Lattice
Hexagonal sampling of 2-D signals has been considered a useful alternative to rectangular systems. Mersereau [1] analyzed hexagonal sampling and showed that when images are circularly or elliptically bandlimited the sampling density can be 13.6% less than that required for a rectangular sampling system. Murphy and Gallagher [2] studied hexagonal sampling in the context of optical systems. Here we investigate spatially hexagonal sampling of spatiotemporal signals. Since obtaining samples at every point in space at the same time instant is impractical for many applications, we constrain the sampling to be time-sequential. We examine the performance of various sampling patterns as we sample below the temporal Nyquist rate, and we compare their performance with that of the corresponding rectangular case that was analyzed previously [3].
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