Book contents
- Frontmatter
- Dedication
- Contents
- Acknowledgements
- Preface
- Notation
- 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
- References
- Index
8 - On Stationarity
from Part I - Basics and Constraints
Published online by Cambridge University Press: 22 August 2018
Book contents
- Frontmatter
- Dedication
- Contents
- Acknowledgements
- Preface
- Notation
- 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
- References
- Index
Summary
Stationarity is a central concept in time-frequency analysis, but its formal definition in terms of global time-shift invariance is demanding, callingfor a more operational viewpoint that better matches intuition and common practice. A concept of relative stationarity is proposed, which not only makes the observation time-scale enter the picture but also permits to test for stationarity.
- Type
- Chapter
- Information
- Explorations in Time-Frequency Analysis , pp. 56 - 66Publisher: Cambridge University PressPrint publication year: 2018