TRANSFORMASI FOURIER DAN TRANSFORMASI FOURIER QUATERNION

  • Muh. Irwan Univeristas Islam Negeri Alauddin Makassar
    (ID)
  • Muhammad Ridwan Univeristas Islam Negeri Alauddin Makassar
    (ID)

Abstract

pada paper ini menjelaskan transformasi Fourier baik yang bernilai real maupun yang bernilai quaternion. Perbedaan mendasarnya terletak pada kernel transformasi, dimana pada transformasi Fourier quaternion dibedakan menjadi tiga jenis, yaitu sisi kiri, sisi kanan dan dua sisi. Adapun sifat-sifat yang dibuktikan seperti pergeseran, modulasi, pengskalaan dan lain-lain (TFQ sisi kanan).

Author Biographies

Muh. Irwan, Univeristas Islam Negeri Alauddin Makassar
Program Studi Matematik
Muhammad Ridwan, Univeristas Islam Negeri Alauddin Makassar
Program Studi Matematika

References

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http://personal.fmipa.itb.ac.id/hgunawan/my-courses/fourier-analysis/

Morais, J.P., Geogiev S., Sprosieg, W. 2012. Real Quaternionic Calculus Handbook. Springer Basel: Hidelberg New York London.

Resnawati. 2013. Transformasi Kanonikal Linear Quaternion. Tesis. Makassar: Program Pascasarjana- UNHAS.

Soo-Chang, Pei, IEEE, Ding, JJ, and Chang J.H. 2001. Efficient Implementation of Quaternion Fourier Transform, Convolution, and Correlation by 2-D Complex FFT. IEEE Transactions On Signal Processing. 11: 1-14.

Supriadi, S. 2012. Prinsip Ketidakpastian Heisenberg Untuk Transformasi Fourier Quaternion Dua Sisi. Tesis, Makassar: Program Pascasarjana-UNHAS.

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Published
2017-11-06
How to Cite
[1]
M. Irwan and M. Ridwan, “TRANSFORMASI FOURIER DAN TRANSFORMASI FOURIER QUATERNION”, MSA, vol. 5, no. 2, p. 43, Nov. 2017.
Section
Artikel
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