𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Time–Frequency Detection of Chirps1

✍ Scribed by Eric Chassande-Mottin; Patrick Flandrin

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
303 KB
Volume
6
Category
Article
ISSN
1063-5203

No coin nor oath required. For personal study only.

✦ Synopsis

The question of detecting a chirp in the time-frequency plane is addressed. Strategies based on line integration are discussed with respect to optimality and adequacy of a representation to a given chirp. Linear and power-law chirps are considered in some detail and a possible application of affine distributions to the detection of gravitational waves is proposed, together with an effective implementation by means of reassigned spectrograms.

📜 SIMILAR VOLUMES

On the chirp decomposition of Weierstras
On the chirp decomposition of Weierstrass–Mandelbrot functions, and their time–frequency interpretation
✍ Pierre Borgnat; Patrick Flandrin 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 507 KB

Weierstrass-Mandelbrot functions are given a time-frequency interpretation which puts emphasis on their possible decomposition on chirps as an alternative to their standard, Fourier-based, representation. Examples of deterministic functions are considered, as well as randomized versions for which th