Biorthogonal Wavelet Packets Associated with Nonuniform Multiresolution

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Volume 9, Issue 1

Firdous Ahmad Shah

J. Info. Comput. Sci. , 9 (2014), pp. 011-021.

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Abstract

In this paper, we introduce the notion of biorthogonal wavelet packets associated with nonuniform multiresoltion analysis and study their characteristics by means of Fourier transform. Three biorthogonal formulas regarding these wavelet packets are established. Moreover, it is shown how to obtain several new Riesz bases of the space (cid:1838)(cid:2870)(ℝ) by constructing a series of subspaces of these nonuniform wavelet packets.

Keywords

Wavelet nonuniform multiresolution analysis biorthogonal wavelet packet Riesz basis Fourier transform.

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@Article{JICS-9-011, author = {Firdous Ahmad Shah}, title = {Biorthogonal Wavelet Packets Associated with Nonuniform Multiresolution}, journal = {Journal of Information and Computing Science}, year = {2014}, volume = {9}, number = {1}, pages = {011--021}, abstract = { In this paper, we introduce the notion of biorthogonal wavelet packets associated with nonuniform multiresoltion analysis and study their characteristics by means of Fourier transform. Three biorthogonal formulas regarding these wavelet packets are established. Moreover, it is shown how to obtain several new Riesz bases of the space (cid:1838)(cid:2870)(ℝ) by constructing a series of subspaces of these nonuniform wavelet packets. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22592.html} }

TY - JOUR T1 - Biorthogonal Wavelet Packets Associated with Nonuniform Multiresolution AU - Firdous Ahmad Shah JO - Journal of Information and Computing Science VL - 1 SP - 011 EP - 021 PY - 2014 DA - 2014/03 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22592.html KW - Wavelet KW - nonuniform multiresolution analysis KW - biorthogonal wavelet packet KW - Riesz basis KW - Fourier transform. AB - In this paper, we introduce the notion of biorthogonal wavelet packets associated with nonuniform multiresoltion analysis and study their characteristics by means of Fourier transform. Three biorthogonal formulas regarding these wavelet packets are established. Moreover, it is shown how to obtain several new Riesz bases of the space (cid:1838)(cid:2870)(ℝ) by constructing a series of subspaces of these nonuniform wavelet packets.

Firdous Ahmad Shah. (2014). Biorthogonal Wavelet Packets Associated with Nonuniform Multiresolution. Journal of Information and Computing Science. 9 (1). 011-021. doi:

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