Real and complex Eigen functions: An analysis of the 2-D Fourier transform

Author

Bavirisetti, Durga Prasad ; Chappidi, Lavanya ; Mandru, Nagendra Prasad ; Karuna, Yepuganti ; Dhuli, Ravindra

Author_Institution

Sch. of Electron. Eng., VIT Univ., Vellore, India

fYear

2012

fDate

10-12 Jan. 2012

Firstpage

1

Lastpage

6

Abstract

In this paper, we extend the concept of Eigen functions of the Fourier transform discussed by P. P. Vaidyanathan [9]. But for a scaling factor, if there is no change in the function after the application of the Fourier transform, we term them as Eigen functions of the Fourier transform. Gaussian is the well known Eigen function. But, there are various other functions that can be developed systematically. The theory developed by P. P. Vaidyanathan for 1-D signals is extended for 2-D case in this paper. We also presented extensions for the complex signal case.

Keywords

Fourier transforms; Gaussian processes; eigenvalues and eigenfunctions; signal processing; 1D signal; 2D Fourier transform analysis; Gaussian function; complex eigen functions; real eigen functions; Computers; Educational institutions; Fourier transforms; Image coding; Informatics; Mathematical model; Systematics; Complex; Eigen function; Fourier Transform;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Communication and Informatics (ICCCI), 2012 International Conference on

Conference_Location

Coimbatore

Print_ISBN

978-1-4577-1580-8

Type

conf

DOI

10.1109/ICCCI.2012.6158843

Filename

6158843