Detection of variable frequency signals using a fast chirp transform

Simple item page
dc.creatorJenet, F. A.
dc.creatorPrince, T. A.
dc.date2000-12-07
dc.date.accessioned2026-07-07T11:29:51Z
dc.date.available2026-07-07T11:29:51Z
dc.descriptionThe 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 (FFT). 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.
dc.identifierhttps://arxiv.org/abs/gr-qc/0012029
dc.identifierhttp://arxiv.org/abs/gr-qc/0012029
dc.identifierPhys.Rev.D62:122001,2000
dc.identifierdoi:10.1103/PhysRevD.62.122001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196850
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleDetection of variable frequency signals using a fast chirp transform
dc.typetext

Files

Collections

arXiv