2009
DOI: 10.1155/2009/935314
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A Class of Highly Concentrated Time-Frequency Distributions Based on the Ambiguity Domain Representation and Complex-Lag Moment

Abstract: A class of time-frequency distributions with complex-lag argument is proposed. It is based on the ambiguity domain representations of real and complex-lag moment, combined to provide a cross-terms free representation for multicomponent signals. Furthermore, the distributions from the proposed class provide a more effective instantaneous frequency estimation for signals with fast varying phase function than the existing approach. The theory is illustrated by the examples.

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Cited by 19 publications
(11 citation statements)
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“…The use of more recent timefrequency estimators presenting better concentration around the signal frequency components may further increase the quality of the extraction of the time-frequency parameters. These methods include but are not limited to the methods discussed in [23][24][25][26][27]. A comparison of these new estimators and the scalogram, for the application to the EHG, is outside the scope of this paper but may be an interesting topic for a study in itself.…”
Section: Discussionmentioning
confidence: 99%
“…The use of more recent timefrequency estimators presenting better concentration around the signal frequency components may further increase the quality of the extraction of the time-frequency parameters. These methods include but are not limited to the methods discussed in [23][24][25][26][27]. A comparison of these new estimators and the scalogram, for the application to the EHG, is outside the scope of this paper but may be an interesting topic for a study in itself.…”
Section: Discussionmentioning
confidence: 99%
“…The L-estimate and standard distribution approaches could be combined in some future work to reduce the calculation complexity. Also, the future research could be focused to generalize the proposed approach to the class of complex-time distributions based on the ambiguity domain [20].…”
Section: Resultsmentioning
confidence: 99%
“…However, it cannot provide good concentration for signals with fast varying IF. Thus, the time-frequency distributions with complex-lag argument have been used to estimate nonlinear and fast IF variations [13][14][15][16][17][18][19][20]. Similarly as other TFDs, these distributions provide poor signal representation in the presence of heavy-tailed noise.…”
Section: Introductionmentioning
confidence: 99%
“…The widely used is short time Fourier transformation (STFT) (Proakis et al 2002), the time-frequency varying autoregressive process (TFAR) (Proakis et al 2002), multiple window method (Cakrak and Loughlin 2001) and wavelet analysis (Rajmic 2014). There are also alternative approaches such as modified empirical mode decomposition (Sebesta et al 2013), the usage of Wigner-Vile distribution (Orovic and Stankovic 2009) or methods for more complicated multicomponent signals (Stankovic et al 2012).…”
Section: Introductionmentioning
confidence: 99%