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Performance of methods based on the fractional Fourier transform for the detection of linear frequency modulated signals

Performance of methods based on the fractional Fourier transform for the detection of linear frequency modulated signals
Performance of methods based on the fractional Fourier transform for the detection of linear frequency modulated signals
Analysis of detectors of linear frequency modulated (LFM) signals based on the fractional Fourier transform (FrFT) is
presented. This allows one to conduct a fair comparison of the performance of these methods with those based on the Fourier transform (FT). In order to facilitate this analysis, expressions for the distribution of the coefficients of the FrFT are presented. Analytic approximations for the FT of the LFM signals are also developed. It is shown that the FrFT methods achieve superior performance if the sweep rate is sufficiently fast or the data length is sufficiently large.
1751-9675
478-483
White, Paul R.
2dd2477b-5aa9-42e2-9d19-0806d994eaba
Locke, Jonathan D.
2e4345cd-703f-4287-b1e2-7b43a3d1f419
White, Paul R.
2dd2477b-5aa9-42e2-9d19-0806d994eaba
Locke, Jonathan D.
2e4345cd-703f-4287-b1e2-7b43a3d1f419

White, Paul R. and Locke, Jonathan D. (2012) Performance of methods based on the fractional Fourier transform for the detection of linear frequency modulated signals. IET Signal Processing, 6 (5), 478-483. (doi:10.1049/iet-spr.2011.0189).

Record type: Article

Abstract

Analysis of detectors of linear frequency modulated (LFM) signals based on the fractional Fourier transform (FrFT) is
presented. This allows one to conduct a fair comparison of the performance of these methods with those based on the Fourier transform (FT). In order to facilitate this analysis, expressions for the distribution of the coefficients of the FrFT are presented. Analytic approximations for the FT of the LFM signals are also developed. It is shown that the FrFT methods achieve superior performance if the sweep rate is sufficiently fast or the data length is sufficiently large.

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Published date: 6 September 2012
Organisations: Signal Processing & Control Grp

Identifiers

Local EPrints ID: 343824
URI: http://eprints.soton.ac.uk/id/eprint/343824
ISSN: 1751-9675
PURE UUID: 5f3335a4-e781-4a8a-859e-862846419dca
ORCID for Paul R. White: ORCID iD orcid.org/0000-0002-4787-8713

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Date deposited: 10 Oct 2012 14:40
Last modified: 15 Mar 2024 02:41

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Contributors

Author: Paul R. White ORCID iD
Author: Jonathan D. Locke

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