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Practical methods of harmonic analysis for geophysical problems

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Summary

The use of a Fourier series in expanding a function into a sum of trigonometric terms, and its application to the problem of resolving a daily variation into its harmonic components are discussed. Various practical methods adopted for the harmonic analysis of a daily variation are reviewed. A new form of analysis of a 12 ordinate scheme is suggested. This is both quicker and easier to handle than the earlier methods. It enables one to evaluate in about 5 minutes the first and the second harmonics from 12 bi-hourly values of a daily variation. Also, with the help of a supplementary chart, the higher harmonics can be evaluated without much extra labour.

A similar method of harmonic analysis for a 24 ordinate scheme is suggested.

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Authors and Affiliations

  1. Physical Research Laboratory, Ahmedabad

    R. P. Kane

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  1. R. P. Kane
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Communicated by Dr. V. A. Sarabhai,f.a.sc.

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Kane, R.P. Practical methods of harmonic analysis for geophysical problems. Proc. Indian Acad. Sci. 39, 117–126 (1954). https://doi.org/10.1007/BF03048528

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  • DOI: https://doi.org/10.1007/BF03048528

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