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Bhole, G, Shukla, A and Mahesh, TS (2015)

Benford analysis: A useful paradigm for spectroscopic analysis

Chemical Physics Letters 639, pp. 3640.

ISSN/ISBN: Not available at this time. DOI: 10.1016/j.cplett.2015.08.061



Abstract: Benford's law is a statistical inference to predict the frequency of significant digits in naturally occurring numerical databases. In such databases this law predicts a higher occurrence of the digit 1 in the most significant place and decreasing occurrences to other larger digits. Although counter-intuitive at first sight, Benford's law has seen applications in a wide variety of fields like physics, earth-science, biology, finance, etc. In this work, we have explored the use of Benford's law for various spectroscopic applications. Although, we use NMR signals as our databases, the methods described here may also be extended to other spectroscopic techniques. In particular, with the help of Benford analysis, we demonstrate emphasizing weak NMR signals and spectral corrections. We also explore a potential application of Benford analysis in the image-processing of MRI data.


Bibtex:
@article{, title = "Benford analysis: A useful paradigm for spectroscopic analysis ", journal = "Chemical Physics Letters ", volume = "639", number = "", pages = "36--40", year = "2015", note = "", issn = "0009-2614", doi = "http://dx.doi.org/10.1016/j.cplett.2015.08.061", url = "http://www.sciencedirect.com/science/article/pii/S0009261415006582", author = "Gaurav Bhole and Abhishek Shukla and T.S. Mahesh", }


Reference Type: Journal Article

Subject Area(s): Natural Sciences, Physics