Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extracting a shape function for a signal with intra-wave frequency
  modulation   In this paper, we consider signals with intra-wave frequency modulation. To
handle this kind of signals effectively, we generalize our data-driven
time-frequency analysis by using a shape function to describe the intra-wave
frequency modulation. The idea of using a shape function in time-frequency
analysis was first proposed by Wu. A shape function could be any periodic
function. Based on this model, we propose to solve an optimization problem to
extract the shape function. By exploring the fact that s is a periodic
function, we can identify certain low rank structure of the signal. This
structure enables us to extract the shape function from the signal. To test the
robustness of our method, we apply our method on several synthetic and real
signals. The results are very encouraging.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas