Entropy-Based Concentration and Instantaneous Frequency of TFDs from Cohen’s, Affine, and Reassigned Classes
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 perfo...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/22/10/3727 |
| _version_ | 1797495757478035456 |
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| author | David Bačnar Nicoletta Saulig Irena Petrijevčanin Vuksanović Jonatan Lerga |
| author_facet | David Bačnar Nicoletta Saulig Irena Petrijevčanin Vuksanović Jonatan Lerga |
| author_sort | David Bačnar |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T01:54:12Z |
| format | Article |
| id | doaj.art-a05176928d264974926fd0a0dac1f0f1 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-10T01:54:12Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-a05176928d264974926fd0a0dac1f0f12023-11-23T13:00:02ZengMDPI AGSensors1424-82202022-05-012210372710.3390/s22103727Entropy-Based Concentration and Instantaneous Frequency of TFDs from Cohen’s, Affine, and Reassigned ClassesDavid Bačnar0Nicoletta Saulig1Irena Petrijevčanin Vuksanović2Jonatan Lerga3Department of Computer Engineering, Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, CroatiaDepartment of Engineering, Juraj Dobrila University of Pula, Zagrebačka 30, 52100 Pula, CroatiaMinistry of the Interior, 10000 Zagreb, CroatiaDepartment of Computer Engineering, Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, CroatiaThis 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.https://www.mdpi.com/1424-8220/22/10/3727time–frequency representationCohen’s classaffine classreassigned classtime–frequency resolutiontime–frequency concentration |
| spellingShingle | David Bačnar Nicoletta Saulig Irena Petrijevčanin Vuksanović Jonatan Lerga Entropy-Based Concentration and Instantaneous Frequency of TFDs from Cohen’s, Affine, and Reassigned Classes Sensors time–frequency representation Cohen’s class affine class reassigned class time–frequency resolution time–frequency concentration |
| title | Entropy-Based Concentration and Instantaneous Frequency of TFDs from Cohen’s, Affine, and Reassigned Classes |
| title_full | Entropy-Based Concentration and Instantaneous Frequency of TFDs from Cohen’s, Affine, and Reassigned Classes |
| title_fullStr | Entropy-Based Concentration and Instantaneous Frequency of TFDs from Cohen’s, Affine, and Reassigned Classes |
| title_full_unstemmed | Entropy-Based Concentration and Instantaneous Frequency of TFDs from Cohen’s, Affine, and Reassigned Classes |
| title_short | Entropy-Based Concentration and Instantaneous Frequency of TFDs from Cohen’s, Affine, and Reassigned Classes |
| title_sort | entropy based concentration and instantaneous frequency of tfds from cohen s affine and reassigned classes |
| topic | time–frequency representation Cohen’s class affine class reassigned class time–frequency resolution time–frequency concentration |
| url | https://www.mdpi.com/1424-8220/22/10/3727 |
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