A discrete fractional evolutionary transform

Author

Onen, Erol ; Akan, Aydin ; Chaparro, Luis F.

Author_Institution

Dept. of Electr. & Electron. Eng., Istanbul Univ., Istanbul, Turkey

fYear

2010

fDate

23-27 Aug. 2010

Firstpage

1752

Lastpage

1755

Abstract

In this paper, we present a discrete fractional evolutionary transform (DFrET) for the time-frequency (TF) representation of non-stationary, wide band signals. The time-varying kernel of this transform is used to calculate the evolutionary spectrum. The DFrET kernel are obtained from the coefficients of a discrete fractional Gabor expansion. The proposed DFrET provides a tool for high-resolution representation of multicomponent signals with linear instantaneous frequencies. Performance of the proposed algorithm is illustrated by means of simulations and compared with existing TF methods.

Keywords

Gabor filters; signal representation; time-frequency analysis; time-varying channels; DFrET kernel; discrete fractional Gabor expansion; discrete fractional evolutionary transform; evolutionary spectrum; high-resolution representation; linear instantaneous frequency; multicomponent signals; nonstationary signals; time-frequency representation; time-varying kernel; wideband signals; Chirp; Estimation; Kernel; Mathematical model; Signal resolution; Time-frequency analysis; Transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing Conference, 2010 18th European

Conference_Location

Aalborg

ISSN

2219-5491

Type

conf

Filename

7096468