A fast algorithm for computing minimum cross-entropy positivetime-frequency distributions
IEEE Transactions on Signal Processing
Digital computation of the fractional Fourier transform
IEEE Transactions on Signal Processing
Positive time-frequency distributions based on joint marginalconstraints
IEEE Transactions on Signal Processing
Measuring time-frequency information content using the Renyi entropies
IEEE Transactions on Information Theory
Comparison of complementary spectral features of emotional speech for german, czech, and slovak
COST'11 Proceedings of the 2011 international conference on Cognitive Behavioural Systems
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The mathematical formulation used in tomography has been successfully applied to time-frequency analysis, which represents an important "imaging modality" of the structure of signals. Based on the interrelation between CT and time-frequency analysis, new methods have been developed for the latter. In this paper, an original method for constructing the time-frequency representation of signals from the squared magnitudes of their fractional Fourier transforms is presented. The method uses α-norm minimization with α → 1 which is motivated by Rényi entropy maximization. An iterative optimization method with adaptive estimation of the convergence parameter is elaborated. The proposed method exhibits advantages in the suppression of interference terms for signals with simple time-frequency configurations.