Two Twinning operators when imposing nonlinear modulation in Short-Time
Fourier Transform
- Yue Su,
- Feng Ye
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.Submitted to Mathematical Methods in the Applied Sciences Submission Checks Completed
Assigned to Editor
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