Detecting highly oscillatory signals by chirplet path pursuit

• Published in: Applied and computational harmonic analysis Vol. 24; no. 1; pp. 14 - 40
• Main Authors: Candès, Emmanuel J., Charlton, Philip R., Helgason, Hannes
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 2008
• Subjects: Adaptivity; Chirplets; Chirps; Dynamic programming; Graphs; Gravitational waves; Likelihood ratios; Nonparametric testing; Shortest path in a graph; Signal detection; Time–frequency analysis; Adaptivity; Shortest path in a graph; Likelihood ratios; Nonparametric testing; Gravitational waves; Graphs; Time–frequency analysis; Dynamic programming; Chirplets; Signal detection; Chirps

This paper considers the problem of detecting nonstationary phenomena, and chirps in particular, from very noisy data. Chirps are waveforms of the very general form A ( t ) exp ( ı λ φ ( t ) ) , where λ is a (large) base frequency, the phase φ ( t ) is time-varying and the amplitude A ( t ) is slowl...