Estimating the number of components of a multicomponent nonstationary signal using the short-term time-frequency Rényi entropy
| Author | Sucic, Victor |
| Author | Saulig, Nicoletta |
| Author | Boashash, Boualem |
| Available date | 2012-03-11T18:58:38Z |
| Publication Date | 2011 |
| Publication Name | EURASIP Journal on Advances in Signal Processing |
| Citation | Sucic et al.: Estimating the number of components of a multicomponent nonstationary signal using the short-term timefrequency Rényi entropy. EURASIP Journal on Advances in Signal Processing 2011 2011:125. |
| Description | This article proposes a method for estimating the local number of signals components using the short term Rényi entropy of signals in the time-frequency plane. (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, the most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated). |
| Abstract | The time-frequency Rényi entropy provides a measure of complexity of a nonstationary multicomponent signal in the time-frequency plane. When the complexity of a signal corresponds to the number of its components, then this information is measured as the Rényi entropy of the time-frequency distribution (TFD) of the signal. This article presents a solution to the problem of detecting the number of components that are present in short-time interval of the signal TFD, using the short-term Rényi entropy. The method is automatic and it does not require a prior information about the signal. The algorithm is applied on both synthetic and real data, using a quadratic separable kernel TFD. The results confirm that the short-term Rényi entropy can be an effective tool for estimating the local number of components present in the signal. The key aspect of selecting a suitable TFD is also discussed. |
| Language | en |
| Publisher | Springer |
| Subject | Time-Frequency Renyi entropy TFRE TFD time-frequency distributions time-frequency signal processing multicomponent estimation non-stationary signals MBD modified B Distribution EMD empirical mode decomposition time-frequency measures time-frequency signal analysis time-frequency features complexity measure IF estimation instantaneous frequency Separable kernel Time-frequency planes Direction of arrival Gabor logon |
| Type | Article |
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