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An erratum is presented to correct an error in an equation used to determine the interferogram without background and the estimated background of the recorded interferogram based on empirical mode decomposition.
©2013 Optical Society of America
In the recent paper on the empirical mode decomposition based background removal of the interferogram [1], the mathematical form of Eq. (4) in section 2.1 is incorrect as published. It was a careless error of us. The other contents proposed in Ref [1]. are correct. The correct expression of Eq. (4) in Ref [1]. is
The interferogram without background is reconstructed by the low order IMFs without background contamination. According to the expression in Ref [1], and , respectively, are reconstructed by the IMFs from to and from to . The authors regret any confusion and misunderstanding that may have been caused by the careless mistake.
Acknowledgments
This work was supported by the 863 Program (2012AA121101), the major state special project (E0310/1112/JC02), the National Natural Science Foundation (61275184, 2006AA12Z152), the Scientific Research Support Program for New Teacher of Xi’an Jiaotong University (08142024) and the Fundamental Research Funds for the Central Universities (08143082).
References and links
1. C. M. Zhang, W. Y. Ren, T. K. Mu, L. L. Fu, and C. L. Jia, “Empirical mode decomposition based background removal and de-noising in polarization interference imaging spectrometer,” Opt. Express 21(3), 2592–2605 (2013). [CrossRef] [PubMed]