TY - JOUR
T1 - Hybrid linear/quadratic time-frequency attributes
AU - Baraniuk, Richard G.
AU - Coates, Mark
AU - Steeghs, Philippe
N1 - Funding Information:
Manuscript received June 13, 2000; revised December 27, 2000. This work was supported by the National Science Foundation under Grants MIP-9457438 and CCR-9973188, the Office of Naval Research under Grant N00014-99-1-0813, the Defense Advanced Research Projects Agency under Grant F49620-97-1-0513, Texas Instruments, and the Rice Consortium on Computational Seismic Interpretation. The associate editor coordinating the review of this paper and approving it for publication was Dr. Xiang-Gen Xia.
PY - 2001/4
Y1 - 2001/4
N2 - 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-dimensional (2-D) quadratic time-frequency representation (TFR), which is then collapsed to the one-dimensional (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.
AB - 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-dimensional (2-D) quadratic time-frequency representation (TFR), which is then collapsed to the one-dimensional (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.
KW - Gabor transform
KW - Instantaneous frequency
KW - Seismic signal analysis
KW - Time-frequency analysis
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U2 - 10.1109/78.912920
DO - 10.1109/78.912920
M3 - Article
AN - SCOPUS:0035309648
SN - 1053-587X
VL - 49
SP - 760
EP - 765
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 4
ER -