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Explorations in Time-Frequency Analysis

$64.99 (P)

  • Date Published: October 2018
  • availability: In stock
  • format: Hardback
  • isbn: 9781108421027

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  • An authoritative exposition of the methods at the heart of modern non-stationary signal processing from a recognised leader in the field. Offering a global view that favours interpretations and historical perspectives, it explores the basic concepts of time-frequency analysis, and examines the most recent results and developments in the field in the context of existing, lesser-known approaches. Several example waveform families from bioacoustics, mathematics and physics are examined in detail, with the methods for their analysis explained using a wealth of illustrative examples. Methods are discussed in terms of analysis, geometry and statistics. This is an excellent resource for anyone wanting to understand the 'why and how' of important methodological developments in time-frequency analysis, including academics and graduate students in signal processing and applied mathematics, as well as application-oriented scientists.

    • Combines fundamental topics with recent developments in the field
    • Uses numerous illustrative examples to guide readers from basic facts through to more advanced results
    • Explores example waveform families from bioacoustics, mathematics and physics
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    Product details

    • Date Published: October 2018
    • format: Hardback
    • isbn: 9781108421027
    • length: 226 pages
    • dimensions: 253 x 178 x 15 mm
    • weight: 0.61kg
    • availability: In stock
  • Table of Contents

    1. Introduction
    Part I. Basics and Constraints:
    2. Small data are beautiful
    3. Of signals and noise
    4. On time, frequency, and Gauss
    5. Uncertainty
    6. From time and frequency to time-frequency
    7. Uncertainty revisited
    8. On stationarity
    Part II. Geometry and Statistics:
    9. Spectrogram geometry 1
    10. Sharpening spectrograms
    11. A digression on Hilbert-Huang transform
    12. Spectrogram geometry 2
    13. The noise case
    14. More on maxima
    15. More on zeros
    16. Back to examples
    17. Conclusion
    18. Annex – software tools.

  • Author

    Patrick Flandrin, École normale supérieure de Lyon
    Patrick Flandrin holds a Research Director position at the CNRS (Centre National de la Recherche Scientifique), working in the Laboratoire de Physique of the École normale supérieure de Lyon. He is a Fellow of the Institute of Electrical and Electronics Engineers (IEEE) and European Association for Signal Processing (EURASIP), and a Member of the French Academy of Sciences.

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