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This paper takes further insight into the sparse geometry which offers a larger array aperture than uniform linear array (ULA) with the same number of physical sensors. An efficient method based on closed-form robust Chinese remainder theorem (CFRCRT) is presented to estimate the direction of arrival (DOA) from their wrapped phase with permissible errors. The proposed algorithm has significantly less computational complexity than the searching method while maintaining similar estimation precision. Furthermore, we combine all phase discrete Fourier transfer (APDFT) and the CFRCRT algorithm to achieve a considerably high DOA estimation precision. Both the theoretical analysis and simulation results demonstrate that the proposed algorithm has a higher estimation precision as well as lower computation complexity. [ABSTRACT FROM AUTHOR]