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Evolutionary time-frequency analysis
Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512), 2002Adapted waveform analysis uses libraries of bases and an efficient functional to match a basis to a given signal or family of signals. In particular, wavelet packets and localized trigonometric functions support the expansion of waveforms in bases whose elements have good time-frequency localization properties.
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Wavelets and time-frequency analysis
Proceedings of the IEEE, 1996We present a selective overview of time-frequency analysis and some of its key problems. In particular we motivate the introduction of wavelet and wavelet packet analysis. Different types of decompositions of an idealized time-frequency plane provide the basis for understanding the performance of the numerical algorithms and their corresponding ...
Nikolaj Hess-Nielsen +1 more
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Recursive Time-Frequency Reassignment
IEEE Transactions on Signal Processing, 2009A fast algorithm for creating time-frequency representations based on a special case of the short-time Fourier transform (STFT) is presented. The algorithm is extended with the method known as time-frequency reassignment. This approach makes time-frequency reassignment well suited for real-time implementations.
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Comments on "Resolution in time-frequency"
IEEE Transactions on Signal Processing, 2000The author comments that the first line of conjecture 5 in the paper of DeBrunner, Ozaydin and Przebinda (see ibid., vol.47, p.783-88, 1999) was proven by Dembo et al. (1991). The proof is a consequence of the properties of the discrete Renyi entropies. Conjecture 5 is a special case of the Renyi-Hirschman inequality.
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Ultradistributions and Time-Frequency Analysis
2006The aim of the paper is to show the connection between the theory of ultradistributions and time-frequency analysis. This is done through time-frequency representations and modulation spaces. Furthermore, some classes of pseudo-differential operators are observed.
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Time-frequency signal representations
1998This invited paper - of a tutorial and review character - presents an overview of two classes of time-frequency signal representations. The first class, in which the signal arises linearly, deals with the windowed Fourier transform and its sampled version (also known as the Gabor transform) and the inverse of the latter: Gabor's signal expansion.
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