Optimal kernels for time-frequency analysis

Richard G. Baraniuk, Douglas L. Jones

Research output: Contribution to journalConference article

Abstract

Current bilinear time-frequency representations apply a fixed kernel to smooth the Wigner distribution. However, the choice of a fixed kernel limits the class of signals that can be analyzed effectively. This paper presents optimality criteria for the design of signal-dependent kernels that suppress cross-components while passing as much auto-component energy as possible, irrespective of the form of the signal. A fast algorithm for the optimal kernel solution makes the procedure competitive computationally with fixed kernel methods. Examples demonstrate the superior performance of the optimal kernel for a frequency modulated signal.

Original languageEnglish (US)
Pages (from-to)181-187
Number of pages7
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume1348
DOIs
StatePublished - Nov 1 1990
EventAdvanced Signal Processing Algorithms, Architectures, and Implementations 1990 - San Diego, United States
Duration: Jul 8 1990Jul 13 1990

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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