Title :
Joint fractional representations
Author :
Akay, Olcay ; Boudreaux-Bartels, G. Faye
Author_Institution :
Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA
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;
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
DOI :
10.1109/TFSA.1998.721450
