Entropy-Based Concentration and Instantaneous Frequency of TFDs from Cohen’s, Affine, and Reassigned Classes

izvorni znanstveni rad

izvorni znanstveni rad

Entropy-Based Concentration and Instantaneous Frequency of TFDs from Cohen’s, Affine, and Reassigned Classes

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2022
Časopis Sensors
Volumen 22
Svesčić 10
Stranice 3727, 36
DOI 10.3390/s22103727
EISSN 1424-8220
Status objavljeno

Sažetak

This paper explores three groups of time–frequency distributions: the Cohen’s, affine, and reassigned classes of time–frequency representations (TFRs). This study provides detailed insight into the theory behind the selected TFRs belonging to these classes. Extensive numerical simulations were performed with examples that illustrate the behavior of the analyzed TFR classes in the joint time–frequency domain. The methods were applied both on synthetic and real-life non-stationary signals. The obtained results were assessed with respect to time–frequency concentration (measured by the Rényi entropy), instantaneous frequency (IF) estimation accuracy, cross-term presence in the TFRs, and the computational cost of the TFRs. This study gives valuable insight into the advantages and limitations of the analyzed TFRs and assists in selecting the proper distribution when analyzing given non-stationary signals in the time–frequency domain.

Ključne riječi

time–frequency representation ; Cohen’s class ; affine class ; reassigned class ; time–frequency resolution ; time–frequency concentration ; Rényi entropy ; instantaneous frequency