Work

Two twinning operators when imposing nonlinear modulation in short‐time Fourier transform

Year: 2024

Type: article

Abstract: 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.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10569

Authors: Yue Su, Feng Ye

Institutions: South China Agricultural University, Software Engineering Institute of Guangzhou

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $4,760

Funders: National Science Foundation, National Natural Science Foundation of China, National Natural Science Foundation of China-Guangdong Joint Fund