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CERTAIN RADIALLY DILATED CONVOLUTION AND ITS APPLICATION
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  • Journal title : Honam Mathematical Journal
  • Volume 32, Issue 1,  2010, pp.101-112
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2010.32.1.101
 Title & Authors
CERTAIN RADIALLY DILATED CONVOLUTION AND ITS APPLICATION
Rhee, Jung-Soo;
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 Abstract
Using some interesting convolution, we find kernels recovering the given function f. By a slight change of this convolution, we obtain an identity filter related to the Fourier series in the discrete time domain. We also introduce some techniques to decompose an impulse into several dilated pieces in the discrete domain. The detail examples deal with specific constructions of those decompositions. Also we obtain localized moving averages from a decomposition of an impulse to make hybrid Bollinger bands, that might give various strategies for stock traders.
 Keywords
convolution;kernels;identity filter;Fourier series;Bollinger bandss;
 Language
English
 Cited by
1.
A note for hybrid Bollinger bands,;

Journal of the Korean Data and Information Science Society, 2010. vol.21. 4, pp.777-782
 References
1.
J. Bollinger, Bollinger on Bollinger Bands, McGraw Hill. New York, 2002.

2.
C.K. Chui, An introduction to wavelets, Academic Press, 1992.

3.
I. Daubechies, Ten Lectures on Wavelet s. CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 61. Society for Industrial and Applied Mathematics, Philadelphia, PA. 1992.

4.
Gepald B. Folland, Real Analysis Modern Techniques and Their Applications, John Wiley & Sons. 1984, pp. 233-237.

5.
Tom H. Koornwindor. WAVELETS: An Elementary Treatment of Theory and Applications, Series in Approximations and Decompositions-Vol. 1, World Scientific, Singapole, 1995.

6.
J. Lim, Two-Dimensional Signal and Image Processing. Upper Saddle River NJ : Prentice Hall. 1990.

7.
Wei Liu. Xudong Huang. Weian Zhang, Black-Scholes' model and Bollinger bands, Physica A, 371, 2006. pp 565-571. crossref(new window)

8.
Alan V. Oppenheim and Alan S. Willsky with S. Hamid Nawab. Signals & Systems. Prentice-Hall International, INC, 1997.

9.
J. Rhee, Gibbs Phenomenon and certain nonharmonic Fourier series, Communications of Korean Mathematical Society, 2010, Preprint (to appear).

10.
Elias M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton University Press, Princeton. New Jersey, 1993, pp. 26-28.