A discrete fractional evolutionary transform

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 coefficient...

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Bibliographic Details
Main Authors: Onen, Erol, Akan, Aydin, Chaparro, Luis F.
Format: Conference Proceeding
Language:English
Subjects:
Chirp
Estimation
Kernel
Mathematical model
Signal resolution
Time-frequency analysis
Transforms
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Summary: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.
ISSN:2219-5491
2219-5491