Implementation of a higher order time-frequency representation based on windowed convolutions
Keywords:
Digital signal processing, Non-stationary signals, Time-frequency signal analysisAbstract
The problem of the cross-terms reduction in a higher order time-frequency representation is considered in this paper. The analyzed representation is originally proposed to considerably improve the concentration of non-stationary signals in the time-frequency plane. However, in the multicomponent signal analysis, the high order of the representation leads to the appearance of undesirable cross-terms. The analyzed representation is developed based on the approximation of the first derivative of the signal phase. It ideally concentrates signals with polynomial phase up to the fourth order. The cross-terms reduction is based on the implementation using windowed frequency convolutions, a concept borrowed from S-method framework.
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.
Provided they are the owners of the copyright to their work, authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal’s published version of the work (e.g., post it to an institutional repository, in a journal or publish it in a book), with an acknowledgment of its initial publication in this journal.