Some Properties of Fundamental Linear Canonical Zak Transform

Authors

  • Asriadi Asriadi
  • Budi Nurwahyu
  • Mawardi Bahri

DOI:

https://doi.org/10.20956/jmsk.v15i2.5720

Keywords:

linear canonical Zak transform, Zak transform, linear canonical transform, linearity properties, translation properties.

Abstract

AbstractIn this paper, we introduce some fundamentally properties of Zak linear canonical transform (LCZT) such as linearity and translation properties. LCZT is developing of Zak transform ( ZT) and linear canonical transform (LCT). Keywords:    linear canonical Zak transform; Zak transform; linear canonical transform; linearity property; translation property.  AbstrakDalam jurnal ini akan diungkapkan beberapa sifat fundamental dari transformasi Zak linear kanonik (LCZT), yaitu sifat linear dan sifat translasi. LCZT merupakan hasil pengembangan dari dua buah transformasi yaitu transformasi Zak (ZT) dan transformasi linear kanonik (LCT). Kata kunci:Transformasi Zak linear kanonik; transformasi Zak; transformasi linear kanonik; sifat linear; sifattranslasi. 

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References

. Bahri, M., and Ashino, R., 2016. Logarithmic uncertainty principle for quaternion linear canonical transform. In Wavelet Analysis and Pattern Recognition (ICWAPR),IEEE International Conference on (pp. 140-145).

. Bahri, M., Amir, A. K., and Ashino, R., 2017. Correlation formulation using relationship between convolution and correlation in linear canonical transform domain. In Wavelet Analysis and Pattern Recognition (ICWAPR), International Conference on (pp. 177-182). IEEE.

. Lokenath Debnath and Shah,F.A., 2015. Wavelet Transforms and Their Applications, second edition. Birkhauser, Boston. 268-283.

. Zhang, Q., 2016. Zak transform and uncertainty principles associated with the linear canonical transform. IET Signal Processing, 10(7), 791-797.

. Bastiaans, M. J. and Alieva, T., 2016. The linear canonical transformation: definition and properties. In Linear Canonical Transforms (pp. 29-80). Springer, New York, NY.

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Published

2018-12-20

How to Cite

Asriadi, A., Nurwahyu, B., & Bahri, M. (2018). Some Properties of Fundamental Linear Canonical Zak Transform. Jurnal Matematika, Statistika Dan Komputasi, 15(2), 114-119. https://doi.org/10.20956/jmsk.v15i2.5720

Issue

Vol. 15 No. 2 (2019): JMSK Vol. 15, No. 2, January 2019

Section

Research Articles

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Jurnal Matematika, Statistika dan Komputasi is an Open Access journal, all articles are distributed under the terms of the Creative Commons Attribution License, allowing third parties to copy and redistribute the material in any medium or format, transform, and build upon the material, provided the original work is properly cited and states its license.  This license allows authors and readers to use all articles, data sets, graphics and appendices in data mining applications, search engines, web sites, blogs and other platforms by providing appropriate reference.

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