| | |
| | |
Stat |
Members: 3667 Articles: 2'599'751 Articles rated: 2609
18 February 2025 |
|
| | | |
|
Article overview
| |
|
Fourier Analysis and q-Gaussian Functions: Analytical and Numerical Results | Paulo Sérgio Silva Rodrigues
; Gilson Antonio Giraldi
; | Date: |
2 May 2016 | Abstract: | It 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 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 some theoretical elements behind 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. We analyze the q-Gaussian kernel in the space
and Fourier domains using the concepts of space window, cut-off frequency, and
the Heisenberg inequality. | Source: | arXiv, 1605.0452 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|