Explorations in Time-Frequency Analysis

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Patrick FlandrinCambridge University Press, 9/6/2018EAN 9781108421027, ISBN10: 1108421024Hardcover, 226 pages, 25.3 x 17.8 x 1.5 cmLanguage: EnglishAn authoritative exposition of t he 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.1. IntroductionPart I. Basics and Constraints2. Small data are beautiful3. Of signals and noise4. On time, frequency, and Gauss5. Uncertainty6. From time and frequency to time-frequency7. Uncertainty revisited8. On stationarityPart II. Geometry and Statistics9. Spectrogram geometry 110. Sharpening spectrograms11. A digression on Hilbert-Huang transform12. Spectrogram geometry 213. The noise case14. More on maxima15. More on zeros16. Back to examples17. Conclusion18. Annex – software tools. Show more