Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive Short-time Fourier Transform and Synchrosqueezing Transform for
  Non-stationary Signal Separation   The synchrosqueezing transform, a kind of reassignment method, aims to
sharpen the time-frequency representation and to separate the components of a
multicomponent non-stationary signal. In this paper, we consider the short-time
Fourier transform (STFT) with a time-varying parameter, called the adaptive
STFT. Based on the local approximation of linear frequency modulation mode, we
analyze the well-separated condition of non-stationary multicomponent signals
using the adaptive STFT with the Gaussian window function. We propose the
STFT-based synchrosqueezing transform (FSST) with a time-varying parameter,
named the adaptive FSST, to enhance the time-frequency concentration and
resolution of a multicomponent signal, and to separate its components more
accurately. In addition, we also propose the 2nd-order adaptive FSST to further
improve the adaptive FSST for the non-stationary signals with fast-varying
frequencies. Furthermore, we present a localized optimization algorithm based
on our well-separated condition to estimate the time-varying parameter
adaptively and automatically. Simulation results on synthetic signals and the
bat echolocation signal are provided to demonstrate the effectiveness and
robustness of the proposed method.

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The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga