The properties of the previously proposed B-distribution are investigated. We show that this dist... more The properties of the previously proposed B-distribution are investigated. We show that this distribution satisfies most of the desirable properties sought for a time-frequency distribution. That is, we show that the B-distribution is real, time and frequency shift invariant and its first moment with respect to frequency yields the instantaneous frequency of the signal. We also show, using real and synthetic data, that the B-distribution outperforms other quadratic time-frequency distributions in resolving signals' components in the time-frequency domain. It achieves a better time-frequency resolution and a better energy concentration around the instantaneous frequency of the signal, and still significantly suppresses the cross-terms.
The paper presents a quantitative comparison study of some time-frequency distributions i.e. (TFD... more The paper presents a quantitative comparison study of some time-frequency distributions i.e. (TFDs). The comparison is in terms of a criterion known as the Renyi measure. The assessment of the TFDs is accomplished by evaluating the Rényi measure which yields the best time-frequency resolu- tion. We show, using synthetic as well as real-life data, that a recently proposed TFD outperforms
In this paper, we propose a novel time-frequency distribution (TFD) for the analysis of multi-com... more In this paper, we propose a novel time-frequency distribution (TFD) for the analysis of multi-component signals. In particular, we use synthetic as well as real-life speech signals to prove the superiority of the proposed TFD in comparison to some existing ones. In the comparison, we consider the cross-terms suppression and the high energy concentration of the signal around its instantaneous frequency (IF).
2010 3rd International Symposium on Applied Sciences in Biomedical and Communication Technologies (ISABEL 2010), 2010
Empirical mode decomposition (EMD) allows decomposing an observed multicomponent signal into a se... more Empirical mode decomposition (EMD) allows decomposing an observed multicomponent signal into a set of monocomponent signals called Intrinsic Mode Functions (IMFs). EMD provides a large number of IMFs and it is important to select the fundamental IMFs and eliminate the redundant ones. This paper proposes a new criterion, based simultaneously on the Minkowski distance and the Jensen Rényi divergence of
The properties of the previously proposed B-distribution are investigated. We show that this dist... more The properties of the previously proposed B-distribution are investigated. We show that this distribution satisfies most of the desirable properties sought for a time-frequency distribution. That is, we show that the B-distribution is real, time and frequency shift invariant and its first moment with respect to frequency yields the instantaneous frequency of the signal. We also show, using real and synthetic data, that the B-distribution outperforms other quadratic time-frequency distributions in resolving signals' components in the time-frequency domain. It achieves a better time-frequency resolution and a better energy concentration around the instantaneous frequency of the signal, and still significantly suppresses the cross-terms.
The paper presents a quantitative comparison study of some time-frequency distributions i.e. (TFD... more The paper presents a quantitative comparison study of some time-frequency distributions i.e. (TFDs). The comparison is in terms of a criterion known as the Renyi measure. The assessment of the TFDs is accomplished by evaluating the Rényi measure which yields the best time-frequency resolu- tion. We show, using synthetic as well as real-life data, that a recently proposed TFD outperforms
In this paper, we propose a novel time-frequency distribution (TFD) for the analysis of multi-com... more In this paper, we propose a novel time-frequency distribution (TFD) for the analysis of multi-component signals. In particular, we use synthetic as well as real-life speech signals to prove the superiority of the proposed TFD in comparison to some existing ones. In the comparison, we consider the cross-terms suppression and the high energy concentration of the signal around its instantaneous frequency (IF).
2010 3rd International Symposium on Applied Sciences in Biomedical and Communication Technologies (ISABEL 2010), 2010
Empirical mode decomposition (EMD) allows decomposing an observed multicomponent signal into a se... more Empirical mode decomposition (EMD) allows decomposing an observed multicomponent signal into a set of monocomponent signals called Intrinsic Mode Functions (IMFs). EMD provides a large number of IMFs and it is important to select the fundamental IMFs and eliminate the redundant ones. This paper proposes a new criterion, based simultaneously on the Minkowski distance and the Jensen Rényi divergence of
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Papers by Braham Barkat