Hybrid linear/quadratic time-frequency attributes

Richard G. Baraniuk, Mark Coates, Philippe Steeghs

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)760-765
Number of pages6
JournalIEEE Transactions on Signal Processing
Issue number4
StatePublished - Apr 2001


  • Gabor transform
  • Instantaneous frequency
  • Seismic signal analysis
  • Time-frequency analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing


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