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Uniform rectilinear array is commonly used to explain the correspondence relationship between spatial sampling and time sampling, while the characteristics of the spatial sampling is much unfamiliar than rectilinear array for the widely used circular array. In this paper, we pointed out that the circular array sampling sequence has the characteristics of the nonlinear frequency modulation (FM) and analyzed the optimal number of circular array combined with the multi-rate signal processing theory by the analysis on the characteristics of the circular array sampling.