Two twinning operators when imposing nonlinear modulation in short‐time Fourier transform
Two types of short‐time Fourier transforms involving respectively nonlinear modulation and nonlinear translation are designed in this note. Some important properties such as twin in time‐frequency domain and orthogonality relations are investigated. Moreover, Lieb type inequalities and uncertainty principle are established.
Authors
- Yue Su (ORCID: https://orcid.org/0000-0002-6136-6108)
- Feng Ye (ORCID: https://orcid.org/0000-0003-0745-6396)
Institutions
- South China Agricultural University (CN)
- Institute of Software (CN)
- Software Engineering Institute of Guangzhou
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2024-11-03
- DOI
- https://doi.org/10.1002/mma.10569
- Citations
- 1
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.97
Funders
- National Natural Science Foundation of China
- National Natural Science Foundation of China-Guangdong Joint Fund