Transformasi Fourier Fraksional dari Fungsi Gaussian

Authors

  • IIN SUTRISNA
  • Asriadi Nasrun
  • Mawardi Bahri
  • Syamsuddin Toaha

DOI:

https://doi.org/10.20956/jmsk.v16i1.5939

Keywords:

Fractional Fourier transform, Fourier transform, Gaussian Function.

Abstract

The fractional Fourier transform is one of the generalizations of ordinary Fourier transform that depend on a particular angle . In this paper we will derive the fractional Fourier transforms of a function that is well known in the field of analysis, namely Gaussian function.

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References

Bahri M. dan Ashino R., 2017. Logarithmic Uncertainty Principles Convolution Theorem Related to Continious Fractional Wavelet Transform and its Properties on a Generalized Sobolev Space. International Journal of wavelet, Multiresolution and Information Processing. Vol. 15, No.5,

Bahri M. dan Ashino R. dan Amir A.K., 2017. Correlation Formulation Using Relationship Between Convolution and Correlation in Linear Canonical Transform Domain. International Conference on Wavelet Analysis and Pattern Recognition, Ningbo, China., hal. 177-182.

Bahri M. dan Ashino R., 2015. Convolution and Correlation Theorem for Wigner-Ville Distribution Associated with Linear Canonical Transform. Intenational Conference on Information Technology-New Generations (ITNG), hal. 341-346.

Bahri M., 2010. Consruction of Quaternion-Valued Wavelets. Matematika: Malaysian Journal of Industrial and Applied Mathematics. Vol. 26, No.1, hal. 107-114.

Clarke, B.M.N., 2009. Fourier Theory. Departement of Mathematics, Macquarie University, hal. 1-65.

Akhilesh P., Manna S.,. Ashutosh Mahato dan V.K. Singh., 2014. The generalized continuous wavelet transform associated with the fractional Fourier transform. Journal of Computational and Applied Mathematics., hal. 1-12.

Ozaktas H. dan Kutay A., 1996. Introduction to fraksional Fourier transform and its application., hal. 3-4.

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Published

2019-06-27

Issue

Section

Research Articles

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