Fast Harmonic Chirp Summation

Jesper Kjær Nielsen; Tobias Lindstrøm Jensen; Jesper Rindom Jensen; Mads Græsbøll Christensen; Søren Holdt Jensen

doi:10.1109/ICASSP.2017.7952189

Fast Harmonic Chirp Summation

Jesper Kjær Nielsen, Tobias Lindstrøm Jensen, Jesper Rindom Jensen, Mads Græsbøll Christensen, Søren Holdt Jensen

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

2 Citations (Scopus)

373 Downloads (Pure)

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 language	English
Title of host publication	2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Number of pages	5
Publisher	IEEE (Institute of Electrical and Electronics Engineers)
Publication date	7 Mar 2017
ISBN (Electronic)	978-1-5090-4117-6
DOIs	https://doi.org/10.1109/ICASSP.2017.7952189
Publication status	Published - 7 Mar 2017
Event	2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - New Orleans, United States Duration: 5 Mar 2017 → 9 Mar 2017

Conference

Conference	2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017
Country/Territory	United States
City	New Orleans
Period	05/03/2017 → 09/03/2017
Sponsor	The Institute of Electrical and Electronics Engineers Signal Processing Society

Series	I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings
ISSN	1520-6149

Access to Document

10.1109/ICASSP.2017.7952189

ICASSP17Accepted author manuscript, 764 KB
Supporting codeOther version, 796 KBLicence: Unspecified

AUB Link

Search for the material in Aalborg University Library's search engine

RTC: Computational Oriented Real-time Convex Optimization in Signal Processing
Jensen, T. (Project Participant), Jensen, S. H. (Project Participant), Larsen, T. (Project Participant), Giacobello, D. (Contact), Dahl, J. (Contact) & Diehl, M. (Contact)
The Danish Council for Independent Research| Technology and Production Sciences, Independent Research Fund Denmark | Sapere Aude
01/06/2014 → 30/06/2017
Project: Research

Cite this

@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 = mar,

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 (Institute of Electrical and Electronics Engineers)",

booktitle = "2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)",

address = "United States",

note = "2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 ; Conference date: 05-03-2017 Through 09-03-2017",

}

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 (Institute of Electrical and Electronics Engineers), 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 et al.
2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE (Institute of Electrical and Electronics Engineers), 2017. (I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings).

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-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 (Institute of Electrical and Electronics Engineers)

T2 - 2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017

Y2 - 5 March 2017 through 9 March 2017

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 (Institute of Electrical and Electronics Engineers). 2017. (I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings). doi: 10.1109/ICASSP.2017.7952189

Fast Harmonic Chirp Summation

Abstract

Conference

Access to Document

AUB Link

Fingerprint

Projects

RTC: Computational Oriented Real-time Convex Optimization in Signal Processing

Cite this