Hybrid Linear/Quadratic Time-Frequency Attributes

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Title: Hybrid Linear/Quadratic Time-Frequency Attributes
Author: Baraniuk, Richard G.; Coates, Mark J.; Steeghs, Philippe
Type: Journal article
Keywords: Gabor coefficients
Citation: R. G. Baraniuk, M. J. Coates and P. Steeghs, "Hybrid Linear/Quadratic Time-Frequency Attributes," IEEE Transactions on Signal Processing, vol. 49, no. 4, pp. 760-766, 2001.
Abstract: We present an efficient method for robustly calculating time-frequency attributes of a signal, including instantaneous mean frequency, bandwidth, kurtosis, and other moments. Most current attribute estimation techniques involve a costly intermediate step of computing a (highly oversampled) two-dimensonal (2-D) quadratic time-frequency representation (TFR), which is then collapsed to the one-dimensonal (1-D) attribute. Using the principles of hybrid linear/quadratic time-frequency analysis (time-frequency distribution series), we propose computing attributes as nonlinear combinations of the (slightly oversampled) linear Gabor coefficients of the signal. The method is both computationally efficient and accurate; it performs as well as the best techniques based on adaptive TFRs. To illustrate, we calculate an attribute of a seismic cross section.
Date Published: 2001-04-01

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  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.