Book contents
- Frontmatter
- Dedication
- Contents
- Acknowledgements
- Preface
- Notation
- 1 Introduction
- Part I Basics and Constraints
- Part II Geometry and Statistics
- 9 Spectrogram Geometry 1
- 10 Sharpening Spectrograms
- 11 A Digression on the 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
- References
- Index
9 - Spectrogram Geometry 1
from Part II - Geometry and Statistics
Published online by Cambridge University Press: 22 August 2018
Book contents
- Frontmatter
- Dedication
- Contents
- Acknowledgements
- Preface
- Notation
- 1 Introduction
- Part I Basics and Constraints
- Part II Geometry and Statistics
- 9 Spectrogram Geometry 1
- 10 Sharpening Spectrograms
- 11 A Digression on the 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
- References
- Index
Summary
Elaborating on spectrograms viewed as smoothed Wigner distributions, their fine geometrical structure can be explained in cases of increasing complexity. This is detailed by resorting to the interference geometry of Wigner distributions. This allows in particular to make a connection between the zeros of the transforms and the Voronoi cells attached to local maxima.
- Type
- Chapter
- Information
- Explorations in Time-Frequency Analysis , pp. 69 - 76Publisher: Cambridge University PressPrint publication year: 2018