Abstract
In this paper, we propose a new warping function to create a new class of warped time-frequency representations (TFRs). We provide the formula for the derivative warping function and its inverse which is defined using the Lambert-W function. Examples are provided demonstrating how the new warping function can be successfully used on wide variety of nonlinear FM chirp signals to linearize their support in the warped time-frequency plane. An algorithm is proposed to optimize the parameter of the new warping function. We also formulate nonlinear FM chirp signals that are ideally matched to this new class of TFRs. These matched FM chirp signals have highly concentrated warped TFRs and no inner-interference terms.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
