Explorations in time-frequency analysis

✍ Scribed by Flandrin, Patrick

• Publisher: Cambridge University Press
• Year: 2018
• Tongue: English
• Leaves: 231
• Category: Library

✦ Synopsis

"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"--  Read more...

Abstract:

An authoritative interpretation of the methods at the heart of modern non-stationary signal processing from a recognised leader in the field. It describes basic concepts and recent advances, explores several example waveform families from bioacoustics, mathematics and physics, and includes numerous illustrative examples.  Read more...

✦ Table of Contents

Content: Small data are beautiful --
Of signals and noise --
On time, frequency, and Gauss --
Uncertainty --
From time and frequency to time-frequency --
Uncertainty revisited --
On stationarity --
Spectrogram geometry 1 --
Sharpening spectrograms --
A digression on Hilbert-Huang transform --
Spectrogram geometry 2 --
The noise case --
More on maxima --
More on zeros --
Back to examples.

✦ Subjects

Signal processing -- Mathematics.;Time-series analysis.;Frequency spectra.