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Recurrence Relations in Sinusoids and Their Applications to Spectral Analysis and to the Resolution of Algebraic Equations

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Applications of Fibonacci Numbers
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Abstract

We consider time-discrete sine signals, as they appear typically in digital electronics, when signals are sampled at discrete time instants which are equally spaced along the independent variable.

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References

  1. Horadam, A. F. “Tschebyscheff and Other Functions Associated with the Sequence W n (a,b; p,q)”. The Fibonacci Quarterly 7, No. 1 (1969): pp. 14–22.

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  2. d’Ocagne, M. “Mémoire sur les Suites Récurrentes”. Journal de lEcole Polytechnique, 64 (1894): pp. 151–224. Paris.

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  3. Lahr, J. H. G. “Theorie Elektrischer Leitungen Unter Anwendung der Fibonacci-Funktion”. Dissertation ETH Nr. 6958, Zürich, 1981.

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  4. Lahr, J. H. G. “Fibonacci and Lucas Numbers and the Morgan-Voyce Polynomials in Ladder Networks and in Electric Line Theory.” Proceedings of the First International Conference on Fibonacci Numbers and Their Applications. University of Patras, Greece, August 27–31, 1984.

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© 1990 Kluwer Academic Publishers

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Lahr, J. (1990). Recurrence Relations in Sinusoids and Their Applications to Spectral Analysis and to the Resolution of Algebraic Equations. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1910-5_26

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  • DOI: https://doi.org/10.1007/978-94-009-1910-5_26

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7352-3

  • Online ISBN: 978-94-009-1910-5

  • eBook Packages: Springer Book Archive

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