کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4605020 | 1337539 | 2015 | 34 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Synchrosqueezed wave packet transforms and diffeomorphism based spectral analysis for 1D general mode decompositions Synchrosqueezed wave packet transforms and diffeomorphism based spectral analysis for 1D general mode decompositions](/preview/png/4605020.png)
This paper develops new theory and algorithms for 1D general mode decompositions. First, we introduce the 1D synchrosqueezed wave packet transform and prove that it is able to estimate instantaneous information of well-separated modes from their superposition accurately. The synchrosqueezed wave packet transform has a better resolution than the synchrosqueezed wavelet transform in the time–frequency domain for separating high frequency modes. Second, we present a new approach based on diffeomorphisms for the spectral analysis of general shape functions. These two methods lead to a framework for general mode decompositions under a weak well-separation condition and a well-different condition. Numerical examples of synthetic and real data are provided to demonstrate the fruitful applications of these methods.
Journal: Applied and Computational Harmonic Analysis - Volume 39, Issue 1, July 2015, Pages 33–66