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—This paper presents the essential elements for developing objective methods of assessment of the performance of time-frequency signal analysis techniques. We define a measure for assessing the resolution performance of time-frequency distributions (TFDs) in separating closely spaced components in the time-frequency domain. The measure takes into account… (More)

The difficulty of selecting the optimal time-frequency distribution (TFD) for a given real-life signal has been one of the major limiting factors to a wider use of time-frequency analysis tools in practice. This paper, by extending our earlier works on the objective assessment of the performance of TFDs, presents a novel automatic approach for selecting a… (More)

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… (More)

A method for components instantaneous frequency (IF) estimation of multicomponent signals in low signal-to-noise ratio (SNR) is proposed. The method combines a new proposed modification of a blind source separation (BSS) algorithm for components separation, with the improved adaptive IF estimation procedure based on the modified sliding pairwise… (More)

Selecting a time-frequency distribution (TFD) which represents a signal in an optimal way is commonly done by visually comparing plots of different TFDs. This paper presents a procedure that allows the analyst to perform the same task in an automatic way. Using the resolution performance measure for TFDs, the procedure optimises all distributions considered… (More)

A methodology based on a resolution performance measure P for time-frequency distributions (TFDs) [I] was defined to optimise TFDs and select the one which results into best concentration of signal components around their instantaneous frequency laws, and best suppression of the interference terms in the time-frequency plane. The algorithm which implements… (More)

In the case of multicomponent AM-FM signals, one bottleneck of mode extraction methods such as synchrosqueezing, is that the reconstruction of the individual components assumes some prior knowledge about their number. In order to reduce supervision, an entropy-based time-frequency method had been previously proposed for automatically estimating the… (More)