Two-channel sampling in wavelet subspaces

J.M. Kim; K.H. Kwon

doi:10.1515/auom-2015-0009

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Two-channel sampling in wavelet subspaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 23 (2015): Issue 1 (January 2015)

By: J.M. Kim and K.H. Kwon

Open Access

|Apr 2017

Abstract

We develop two-channel sampling theory in the wavelet subspace V₁ from the multi resolution analysis {V_j}_j_∈𝕫. Extending earlier results by G. G. Walter [11], W. Chen and S. Itoh [2] and Y. M. Hong et al [5] on the sampling theory in the wavelet or shift invariant spaces, we find a necessary and sufficient condition for two-channel sampling expansion formula to hold in V₁.

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DOI: https://doi.org/10.1515/auom-2015-0009 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 115 - 126

Submitted on: Apr 26, 2014

Accepted on: Jun 27, 2014

Published on: Apr 4, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

two-channel sampling,

Related subjects:

© 2017 J.M. Kim, K.H. Kwon, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 23 (2015): Issue 1 (January 2015)