- Tytuł:
- Theoretical Elements in Fourier Analysis of q-Gaussian Functions
- Autorzy:
-
Rodrigues, P S. S.
Giraldi, G. A. - Powiązania:
- https://bibliotekanauki.pl/articles/375832.pdf
- Data publikacji:
- 2015
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
q-Gaussian kernel
signal processing - Opis:
- There is a consensus in signal processing that the Gaussian kernel and its partial derivatives enable the development of robust algorithms for feature detection. Fourier analysis and convolution theory have a central role in such development. In this paper, we collect theoretical elements to follow this avenue but using the q-Gaussian kernel that is a nonextensive generalization of the Gaussian one. Firstly, we review the one-dimensional q-Gaussian and its Fourier transform. Then, we consider the two-dimensional q-Gaussian and we highlight the issues behind its analytical Fourier transform computation. In the computational experiments, we analyze the q-Gaussian kernel in the space and Fourier domains using the concepts of space window, cut-o frequency, and the Heisenberg inequality.
- Źródło:
-
Theoretical and Applied Informatics; 2015, 27, 2; 16-44
1896-5334 - Pojawia się w:
- Theoretical and Applied Informatics
- Dostawca treści:
- Biblioteka Nauki
Artykuł