On the Nörlund Method of Signal Processing Involving Coifman Wavelets

Sarjoo Prasad Yadav; Rakesh Kumar Yadav; Dinesh Kumar Yadav

doi:10.4028/www.scientific.net/AMR.433-440.3378

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 433-440On the Nörlund Method of Signal Processing...

On the Nörlund Method of Signal Processing Involving Coifman Wavelets

Abstract:

We consider on real line R a space of signals which are p-power (1 ≤ p ≤∞ ) Lebesgue integrable with weight w(x) = (1 - x)α (1 + x)β , ( α, β > -1) on [-1, 1] R. A subspace χ^ab_Nvof X^ab_vis recognized by restricting the types of signals, so that the signals are represented by Jacobi Polynomials. Then by the derivability of Jacobi polynomials, we reach to the conclusion that the signals of the subspace X^αβ_Nv can be represented by the Coifman wavelets. The method involves the N rlund summation of Fourier-Jacobi expansions and the properties of Jacobi polynomials in [--1, 1] R

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Periodical:

Advanced Materials Research (Volumes 433-440)

Pages:

3378-3387

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.433-440.3378

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Online since:

January 2012

Authors:

Sarjoo Prasad Yadav, Rakesh Kumar Yadav, Dinesh Kumar Yadav

Keywords:

Approximation by Jacobi Polynomials, Coifman Wavelet Systems, Fourier-Jacobi Expansions

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