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Sparse Semi-Parametric Estimation of Harmonic Chirp Signals

Swärd, Johan LU ; Brynolfsson, Johan LU ; Jakobsson, Andreas LU orcid 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.
Please use this url to cite or link to this publication:
author
; ; and
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
2016-04-01 10:45:33
date last changed
2024-02-22 10:20:30
@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          = {{https://lup.lub.lu.se/search/files/2110449/8410045.pdf}},
  doi          = {{10.1109/TSP.2015.2507538}},
  volume       = {{64}},
  year         = {{2016}},
}