Explorations in Time-Frequency Analysis

Understand the methods of modern non-stationary signal processing with authoritative insights from a leader in the field.

Patrick Flandrin (Author)

9781108421027, Cambridge University Press

Hardback, published 6 September 2018

226 pages
25.3 x 17.8 x 1.5 cm, 0.61 kg

'This fascinating book is a thoroughly researched treatise of the analysis of signals in the 2D time-frequency plane … The book contains a wealth of useful information about the subject, which is hard to find in other texts.' Sven Treitel, The Leading Edge

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.

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.

Subject Areas: Signal processing [UYS], Communications engineering / telecommunications [TJK], Electronics & communications engineering [TJ], Applied physics [PHV], Wave mechanics [vibration & acoustics PHDS], Applied mathematics [PBW]