Joint fractional representations

Author

Akay, Olcay ; Boudreaux-Bartels, G. Faye

Author_Institution

Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA

fYear

1998

Firstpage

417

Lastpage

420

Abstract

By using Cohen´s (1995) characteristic function operator method, we derive the formulation of joint fractional representations (JFRs). JFRs generalize conventional time-frequency representations into fractional domains which are defined by the fractional Fourier transform. We present some of the properties of the fractional Wigner distribution along with the properties of the fractional ambiguity function. We calculate fractional Wigner distributions of some signals and provide some examples

Keywords

Fourier transforms; Wigner distribution; fractals; signal representation; time-frequency analysis; Cohen´s characteristic function operator method; fractional Fourier transform; fractional Wigner distribution; fractional Wigner distributions; fractional ambiguity function; fractional domains; joint fractional representations; signal distributions; time-frequency representations; Character generation; Distributed computing; Fourier transforms; Narrowband; Signal analysis; Signal generators; Signal processing; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on

Conference_Location

Pittsburgh, PA

Print_ISBN

0-7803-5073-1

Type

conf

DOI

10.1109/TFSA.1998.721450

Filename

721450

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1712507