Ramanujan sums analysis of long-period sequences and 1 / f noise

@inproceedings{Planat2008RamanujanSA,
  title={Ramanujan sums analysis of long-period sequences and 1 / f noise},
  author={Michel Planat and Milan Minarovjech and Metod Saniga},
  year={2008}
}
Ramanujan sums are exponential sums with exponent defined over the irreducible fractions. Until now, they have been used to provide converging expansions to some arithmetical functions appearing in the context of number theory. In this paper, we provide an application of Ramanujan sum expansions to periodic, quasiperiodic and complex time series, as a vital alternative to the Fourier transform. The Ramanujan-Fourier spectrum of the Dow Jones index over 13 years and of the coronal index of solar… CONTINUE READING

From This Paper

Topics from this paper.
10 Citations
15 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 10 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 15 references

Application of the Ramanujan - Fourier transform for the analysis of secondary structure content in amino acid sequences Methods in Med

  • S Samadi, M O Ahmad, M N S Swamy
  • 2007

Application of the RamanujanFourier transform for the analysis of secondary structure content in amino acid sequences Methods in

  • M N S Swamy
  • Med
  • 2007

Mutually unbiased phase states, phase uncertainties, and Gauss sums

  • M Planat, H Rosu
  • Eur Phys J D
  • 2005
1 Excerpt

Similar Papers

Loading similar papers…