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Computationally Efficient Scale Covariant Time-Frequency Distributions

Abstract

Scale is a physical attribute of a signal which occurs in many natural settings. Time-frequency distributions (TFDs) belonging to Cohen's class are invariant to time and frequency shifts, but are not necessarily covariant to the time scalings of the signal. Conditions on the time-frequency kernel for yielding a scale covariant distribution have been previously derived (Cohen, 1995). In this paper, a new class of computationally efficient scale covariant distributions is introduced. These distributions are constructed using the eigendecomposition of time-frequency kernels (Burrus et al., 1997). The performance of this new class of distributions is illustrated with examples and is compared to conventional scale covariant distributions.

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Correspondence to Selin Aviyente.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Aviyente, S. Computationally Efficient Scale Covariant Time-Frequency Distributions. EURASIP J. Adv. Signal Process. 2009, 204351 (2009). https://doi.org/10.1155/2009/204351

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Keywords

  • Information Technology
  • Frequency Shift
  • Quantum Information
  • Natural Setting
  • Full Article