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Chirp Rate and Instantaneous Frequency Estimation: Application to Recursive Vertical Synchrosqueezing

Abstract

This letter introduces new chirp rate and instantaneous frequency estimators designed for frequency-modulated signals. These estimators are first investigated from a deterministic point of view, then compared together in terms of statistical efficiency. They are also used to design new recursive versions of the vertically synchrosqueezed short-time Fourier transform, using a previously published method (D. Fourer, F. Auger, and P. Flandrin, “Recursive versions of the Levenberg-Marquardt reassigned spectrogram and of the synchrosqueezed STFT,” in Proc. IEEE Int. Conf. Acoust., Speech Signal Process., Mar. 2016, pp. 4880-4884). This study paves the way to the real-time computation of a time-frequency representation, which is both invertible and sharply localized in frequency.

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DOI:
Digital Object Identifier (open in new tab) 10.1109/LSP.2017.2714578
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Copyright (2017 IEEE)

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
IEEE SIGNAL PROCESSING LETTERS no. 24, edition 11, pages 1724 - 1728,
ISSN: 1070-9908
Language:
English
Publication year:
2017
Bibliographic description:
Fourer D., Auger F., Czarnecki K., Meignen S., Flandrin P.: Chirp Rate and Instantaneous Frequency Estimation: Application to Recursive Vertical Synchrosqueezing// IEEE SIGNAL PROCESSING LETTERS. -Vol. 24, iss. 11 (2017), s.1724-1728
DOI:
Digital Object Identifier (open in new tab) 10.1109/lsp.2017.2714578
Verified by:
Gdańsk University of Technology

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