A general theory on frequency and time–frequency analysis of irregularly sampled time series based on projection methods – Part 2: Extension to time–frequency analysis

Lenoir, Guillaume; Crucifix, Michel

doi:https://doi.org/10.5194/npg-25-175-2018

Articles | Volume 25, issue 1

https://doi.org/10.5194/npg-25-175-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/npg-25-175-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 25, issue 1

Research article

|

05 Mar 2018

Research article |

| 05 Mar 2018

A general theory on frequency and time–frequency analysis of irregularly sampled time series based on projection methods – Part 2: Extension to time–frequency analysis

Guillaume Lenoir and Michel Crucifix

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Final revised paper (published on 05 Mar 2018)
Supplement to the final revised paper
Preprint (discussion started on 04 Jul 2017)
Supplement to the preprint

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

AC1: 'Figures C1 and C2 of the discussion paper', Guillaume Lenoir, 04 Jul 2017
RC1: 'Review of “A general theory on frequency and time-frequency analysis of irregular sampled time series based on projection methods. II. Extension to time-frequency analysis” by Lenoir and Crucifix', Anonymous Referee #1, 10 Sep 2017
- AC2: 'Reply to comment RC1', Guillaume Lenoir, 04 Dec 2017
RC2: 'Comments on “A general theory on frequency and time-frequency analysis of irregularly sampled time series based on projection methods. II. Extension to time-frequency analysis” by Lenoir and Crucifix', Anonymous Referee #2, 02 Oct 2017
- AC3: 'Reply to comment RC2', Guillaume Lenoir, 04 Dec 2017

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Guillaume Lenoir on behalf of the Authors (04 Dec 2017) Author's response Manuscript

ED: Publish as is (06 Dec 2017) by Jinqiao Duan

AR by Guillaume Lenoir on behalf of the Authors (07 Dec 2017) Author's response Manuscript

Short summary

There is so far no general framework for handling the continuous wavelet transform when the time sampling is irregular. Here we provide such a framework with the Morlet wavelet, based on the results of part I of this study. We also design a test of significance against a general background noise which encompasses the Gaussian white or red noise. All the analysis tools presented in this article are available to the reader in the Python package WAVEPAL.