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Iterative missing data recovery algorithm for non-stationary signals

Khan, Nabeel Ali ; Butt, Naveed R. LU and Jakobsson, Andreas LU orcid (2022) In Signal, Image and Video Processing 16(7). p.1731-1738
Abstract

This paper proposes an iterative algorithm to reconstruct missing samples from non-stationary signals. The proposed algorithm is based on the well-known amplitude-modulation frequency-modulation model for non-stationary signals. The method initially estimates the instantaneous frequencies of the observed multi-component signal. The estimated IFs are then used to de-chirp the corresponding components to convert them into stationary components. Following this, a relatively recent nonparametric iterative missing data recovery procedure is employed to reconstruct the time-varying amplitudes of the signal components. The complete signal is constructed by adding all the estimated components, which is used as an input signal to re-estimate the... (More)

This paper proposes an iterative algorithm to reconstruct missing samples from non-stationary signals. The proposed algorithm is based on the well-known amplitude-modulation frequency-modulation model for non-stationary signals. The method initially estimates the instantaneous frequencies of the observed multi-component signal. The estimated IFs are then used to de-chirp the corresponding components to convert them into stationary components. Following this, a relatively recent nonparametric iterative missing data recovery procedure is employed to reconstruct the time-varying amplitudes of the signal components. The complete signal is constructed by adding all the estimated components, which is used as an input signal to re-estimate the IFs and time-varying amplitudes in an iterative procedure. Studies based on simulated and real data sets show that the proposed approach provides better estimates as compared to the state of the art.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Amplitude-modulation frequency modulation (AM-FM), Instantaneous frequency, Missing data, Non-stationary signals, Time–frequency
in
Signal, Image and Video Processing
volume
16
issue
7
pages
1731 - 1738
publisher
Springer
external identifiers
  • scopus:85124564877
ISSN
1863-1703
DOI
10.1007/s11760-021-02128-5
language
English
LU publication?
yes
id
c38d9ba0-feab-43be-a061-ea9887896345
date added to LUP
2022-04-14 12:11:40
date last changed
2022-10-31 14:56:19
@article{c38d9ba0-feab-43be-a061-ea9887896345,
  abstract     = {{<p>This paper proposes an iterative algorithm to reconstruct missing samples from non-stationary signals. The proposed algorithm is based on the well-known amplitude-modulation frequency-modulation model for non-stationary signals. The method initially estimates the instantaneous frequencies of the observed multi-component signal. The estimated IFs are then used to de-chirp the corresponding components to convert them into stationary components. Following this, a relatively recent nonparametric iterative missing data recovery procedure is employed to reconstruct the time-varying amplitudes of the signal components. The complete signal is constructed by adding all the estimated components, which is used as an input signal to re-estimate the IFs and time-varying amplitudes in an iterative procedure. Studies based on simulated and real data sets show that the proposed approach provides better estimates as compared to the state of the art.</p>}},
  author       = {{Khan, Nabeel Ali and Butt, Naveed R. and Jakobsson, Andreas}},
  issn         = {{1863-1703}},
  keywords     = {{Amplitude-modulation frequency modulation (AM-FM); Instantaneous frequency; Missing data; Non-stationary signals; Time–frequency}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{1731--1738}},
  publisher    = {{Springer}},
  series       = {{Signal, Image and Video Processing}},
  title        = {{Iterative missing data recovery algorithm for non-stationary signals}},
  url          = {{http://dx.doi.org/10.1007/s11760-021-02128-5}},
  doi          = {{10.1007/s11760-021-02128-5}},
  volume       = {{16}},
  year         = {{2022}},
}