A4 Article in conference proceedings
Analytic and directional wavelet packets (2019)

Averbuch, A. Z., Neittaanmäki, P., & Zheludev, V. A. (2019). Analytic and directional wavelet packets. In SampTA 2019 : Proceedings of the 13th International Conference on Sampling Theory and Applications. IEEE. https://doi.org/10.1109/SampTA45681.2019.9030914

JYU authors or editors

Publication details

All authors or editors: Averbuch, Amir Z.; Neittaanmäki, Pekka; Zheludev, Valery A.

Parent publication: SampTA 2019 : Proceedings of the 13th International Conference on Sampling Theory and Applications

Place and date of conference: Bordeaux, France, 8.-12.7.2019

ISBN: 978-1-7281-3742-1

eISBN: 978-1-7281-3741-4

Publication year: 2019

Publisher: IEEE

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1109/SampTA45681.2019.9030914

Publication open access: Not open

Publication channel open access: 

Abstract

The paper presents a versatile library of analytic and quasi-analytic complex-valued wavelet packets (WPs) which originate from discrete splines of arbitrary orders. The real parts of quasi-analytic WPs are the regular spline-based orthonormal WPs designed in [1]. The imaginary parts are the so-called complementary orthonormal WPs, which, unlike the symmetric regular WPs, are antisymmetric. Tensor products of 1D quasi-analytic WPs provide a diversity of 2D WPs oriented in multiple directions. For example, the set of fourth-level WPs comprise 62 different directions. The designed computational scheme enables extremely fast and easy implementation of the WP transforms.

Keywords: signal processing; signal analysis; automated pattern recognition

Free keywords: anti-symmetric; arbitrary order; complex-valued; computational schemes; directional wavelets; imaginary parts; tensor products; wavelet packet

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Related projects

Ministry reporting: Yes

Reporting Year: 2020

JUFO rating: 1