Aoi, Mikio Lepage, Kyle Lim, Yoonsoeb Eden, Uri T. Gardner, Timothy J. 2024-01-20T07:34:33Z 2024-01-20T07:34:33Z 2021-09-05 2015-02-01 1053-587X https://pubs.kist.re.kr/handle/201004/125780 We propose a time-frequency representation based on the ridges of the continuous chirplet transform to identify both fast transients and components with well-defined instantaneous frequency in noisy data. At each chirplet modulation rate, every ridge corresponds to a territory in the time-frequency plane such that the territories form a partition of the time-frequency plane. For many signals containing sparse signal components, ridge length and ridge stability are maximized when the analysis kernel is adapted to the signal content. These properties provide opportunities for enhancing signal in noise and for elementary stream segregation by combining information across multiple analysis chirp rates. English IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC CONTINUOUS WAVELET TRANSFORM MODE DECOMPOSITION NONSTATIONARY SIGNALS REPRESENTATIONS IDENTIFICATION EXTRACTION RECONSTRUCTION REASSIGNMENT ALGORITHM KERNEL An Approach to Time-Frequency Analysis With Ridges of the Continuous Chirplet Transform Article 10.1109/TSP.2014.2365756 1 IEEE TRANSACTIONS ON SIGNAL PROCESSING, v.63, no.3, pp.699 - 710 IEEE TRANSACTIONS ON SIGNAL PROCESSING 63 3 699 710 scie scopus 000348374000013 2-s2.0-84920972950 Engineering, Electrical & Electronic Engineering Article CONTINUOUS WAVELET TRANSFORM MODE DECOMPOSITION NONSTATIONARY SIGNALS REPRESENTATIONS IDENTIFICATION EXTRACTION RECONSTRUCTION REASSIGNMENT ALGORITHM KERNEL Chirp time-frequency synchrosqueezing ridges