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
3 - Of Signals and Noise
from Part I - Basics and Constraints
Published online by Cambridge University Press: 22 August 2018
- 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
An important distinction in signal processing is often made between “signal” and “noise.” This is proposed here to be approached via a contrast between “order” and “disorder,” in the sense of a “coherent” or “incoherent” structure in a time-frequency description. Basic classes of signals and noise models are discussed, focusing on what will be mostly used in the rest of the book.
- Type
- Chapter
- Information
- Explorations in Time-Frequency Analysis , pp. 21 - 28Publisher: Cambridge University PressPrint publication year: 2018