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Sparse Semi-Parametric Estimation of Harmonic Chirp Signals

Swärd, Johan LU ; Brynolfsson, Johan LU ; Jakobsson, Andreas LU and Sandsten, Maria LU (2016) In IEEE Transactions on Signal Processing 64(7). p.1798-1807
Abstract
In this work, we present a method for estimating the parameters detailing an unknown number of linear, possibly harmonically related, chirp signals, using an iterative sparse reconstruction framework. The proposed method is initiated by a re-weighted group-sparsity approach, followed by an iterative relaxation-based refining step, to allow for high resolution estimates. Numerical simulations illustrate the achievable performance, offering a notable improvement as compared to other recent approaches. The resulting estimates are found to be statistically efficient, achieving the corresponding Cram´er-Rao lower bound.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Transactions on Signal Processing
volume
64
issue
7
pages
1798 - 1807
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:84962022967
  • wos:000372004900012
ISSN
1053-587X
DOI
10.1109/TSP.2015.2507538
language
English
LU publication?
yes
id
c566746e-65e1-428e-8af7-4e9f87ff6f68 (old id 8409990)
date added to LUP
2016-02-29 15:08:28
date last changed
2017-08-20 03:19:21
@article{c566746e-65e1-428e-8af7-4e9f87ff6f68,
  abstract     = {In this work, we present a method for estimating the parameters detailing an unknown number of linear, possibly harmonically related, chirp signals, using an iterative sparse reconstruction framework. The proposed method is initiated by a re-weighted group-sparsity approach, followed by an iterative relaxation-based refining step, to allow for high resolution estimates. Numerical simulations illustrate the achievable performance, offering a notable improvement as compared to other recent approaches. The resulting estimates are found to be statistically efficient, achieving the corresponding Cram´er-Rao lower bound.},
  author       = {Swärd, Johan and Brynolfsson, Johan and Jakobsson, Andreas and Sandsten, Maria},
  issn         = {1053-587X},
  language     = {eng},
  number       = {7},
  pages        = {1798--1807},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Signal Processing},
  title        = {Sparse Semi-Parametric Estimation of Harmonic Chirp Signals},
  url          = {http://dx.doi.org/10.1109/TSP.2015.2507538},
  volume       = {64},
  year         = {2016},
}