Abstract

The harmonic chirp signal model has only very recently been in- troduced for modelling approximately periodic signals with a time- varying fundamental frequency. A number of estimators for the pa- rameters of this model have already been proposed, but they are ei- ther inaccurate, non-robust to noise, or very computationally inten- sive. In this paper, we propose a fast algorithm for the harmonic chirp summation method which has been demonstrated in the liter- ature to be accurate and robust to noise. The proposed algorithm is orders of magnitudes faster than previous algorithms which is also demonstrated via timing studies.
Original languageEnglish
Title of host publication2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Number of pages5
PublisherIEEE
Publication date7 Mar 2017
ISBN (Electronic)978-1-5090-4117-6
DOIs
Publication statusPublished - 7 Mar 2017
Event2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - New Orleans, United States
Duration: 5 Mar 20179 Mar 2017

Conference

Conference2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017
CountryUnited States
CityNew Orleans
Period05/03/201709/03/2017
SponsorThe Institute of Electrical and Electronics Engineers Signal Processing Society
SeriesI E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings
ISSN1520-6149

Cite this

Nielsen, J. K., Jensen, T. L., Jensen, J. R., Christensen, M. G., & Jensen, S. H. (2017). Fast Harmonic Chirp Summation. In 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) IEEE. I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings https://doi.org/10.1109/ICASSP.2017.7952189
Nielsen, Jesper Kjær ; Jensen, Tobias Lindstrøm ; Jensen, Jesper Rindom ; Christensen, Mads Græsbøll ; Jensen, Søren Holdt. / Fast Harmonic Chirp Summation. 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2017. (I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings).
@inproceedings{6d34a11ab16d472491f5af3eb9b5c13c,
title = "Fast Harmonic Chirp Summation",
abstract = "The harmonic chirp signal model has only very recently been in- troduced for modelling approximately periodic signals with a time- varying fundamental frequency. A number of estimators for the pa- rameters of this model have already been proposed, but they are ei- ther inaccurate, non-robust to noise, or very computationally inten- sive. In this paper, we propose a fast algorithm for the harmonic chirp summation method which has been demonstrated in the liter- ature to be accurate and robust to noise. The proposed algorithm is orders of magnitudes faster than previous algorithms which is also demonstrated via timing studies.",
author = "Nielsen, {Jesper Kj{\ae}r} and Jensen, {Tobias Lindstr{\o}m} and Jensen, {Jesper Rindom} and Christensen, {Mads Gr{\ae}sb{\o}ll} and Jensen, {S{\o}ren Holdt}",
year = "2017",
month = "3",
day = "7",
doi = "10.1109/ICASSP.2017.7952189",
language = "English",
series = "I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings",
publisher = "IEEE",
booktitle = "2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)",
address = "United States",

}

Nielsen, JK, Jensen, TL, Jensen, JR, Christensen, MG & Jensen, SH 2017, Fast Harmonic Chirp Summation. in 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings, 2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017, New Orleans, United States, 05/03/2017. https://doi.org/10.1109/ICASSP.2017.7952189

Fast Harmonic Chirp Summation. / Nielsen, Jesper Kjær; Jensen, Tobias Lindstrøm; Jensen, Jesper Rindom; Christensen, Mads Græsbøll; Jensen, Søren Holdt.

2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2017. (I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

TY - GEN

T1 - Fast Harmonic Chirp Summation

AU - Nielsen, Jesper Kjær

AU - Jensen, Tobias Lindstrøm

AU - Jensen, Jesper Rindom

AU - Christensen, Mads Græsbøll

AU - Jensen, Søren Holdt

PY - 2017/3/7

Y1 - 2017/3/7

N2 - The harmonic chirp signal model has only very recently been in- troduced for modelling approximately periodic signals with a time- varying fundamental frequency. A number of estimators for the pa- rameters of this model have already been proposed, but they are ei- ther inaccurate, non-robust to noise, or very computationally inten- sive. In this paper, we propose a fast algorithm for the harmonic chirp summation method which has been demonstrated in the liter- ature to be accurate and robust to noise. The proposed algorithm is orders of magnitudes faster than previous algorithms which is also demonstrated via timing studies.

AB - The harmonic chirp signal model has only very recently been in- troduced for modelling approximately periodic signals with a time- varying fundamental frequency. A number of estimators for the pa- rameters of this model have already been proposed, but they are ei- ther inaccurate, non-robust to noise, or very computationally inten- sive. In this paper, we propose a fast algorithm for the harmonic chirp summation method which has been demonstrated in the liter- ature to be accurate and robust to noise. The proposed algorithm is orders of magnitudes faster than previous algorithms which is also demonstrated via timing studies.

U2 - 10.1109/ICASSP.2017.7952189

DO - 10.1109/ICASSP.2017.7952189

M3 - Article in proceeding

T3 - I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings

BT - 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

PB - IEEE

ER -

Nielsen JK, Jensen TL, Jensen JR, Christensen MG, Jensen SH. Fast Harmonic Chirp Summation. In 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE. 2017. (I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings). https://doi.org/10.1109/ICASSP.2017.7952189