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Detection of variable frequency signals using a fast chirp transform

Jenet, F. A. and Prince, T. A. (2000) Detection of variable frequency signals using a fast chirp transform. Physical Review D, 62 (12). Art. No. 122001. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:20150224-155532394

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Abstract

The detection of signals with varying frequency is important in many areas of physics and astrophysics. The current work was motivated by a desire to detect gravitational waves from the binary inspiral of neutron stars and black holes, a topic of significant interest for the new generation of interferometric gravitational wave detectors such as LIGO. However, this work has significant generality beyond gravitational wave signal detection. We define a fast chirp transform (FCT) analogous to the fast Fourier transform. Use of the FCT provides a simple and powerful formalism for detection of signals with variable frequency just as Fourier transform techniques provide a formalism for the detection of signals of constant frequency. In particular, use of the FCT can alleviate the requirement of generating complicated families of filter functions typically required in the conventional matched filtering process. We briefly discuss the application of the FCT to several signal detection problems of current interest.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.62.122001DOIArticle
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.62.122001PublisherArticle
ORCID:
AuthorORCID
Prince, T. A.0000-0002-8850-3627
Additional Information:© 2000 American Physical Society. Received 1 February 2000; published 14 November 2000. We acknowledge informative and pivotal discussions with Ben Owen and B. Sathyaprakash. We also acknowledge helpful and stimulating discussions with Alessandra Buonanno, Tibault Damour, Scott Hughes and Albert Lazzarini. This work was supported in part by the LIGO Laboratory under cooperative agreement NSF-PHY-9210038 and by grant NSF-PHY-9970877. This paper is LIGO document LIGO P000003-00-R.
Group:Space Radiation Laboratory, LIGO
Funders:
Funding AgencyGrant Number
NSFPHY-9210038
NSFPHY-9970877
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Space Radiation Laboratory2000-46
LIGO DocumentP000003-00-R
Classification Code:PACS numbers: 04.80.Nn, 02.30.Nw, 84.40.Ua, 95.75.Pq I
Record Number:CaltechAUTHORS:20150224-155532394
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150224-155532394
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:55162
Collection:CaltechAUTHORS
Deposited By: Deborah Miles
Deposited On:25 Feb 2015 00:29
Last Modified:23 Nov 2017 05:40

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