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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 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)

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)

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 this paper, we propose novel adaptive wavelet filter bank structures based on the lifting scheme. The filter banks are nonseparable, based on quincunx sampling, with their properties being pixel-wise adapted according to the local image features. Despite being adaptive, the filter banks retain a desirable number of primal and dual vanishing moments. The… (More)