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Detection performance of the fractional Fourier transform (chirp FFT) for frequency modulated signals

Detection performance of the fractional Fourier transform (chirp FFT) for frequency modulated signals
Detection performance of the fractional Fourier transform (chirp FFT) for frequency modulated signals
The Fractional Fourier transform (FrFT) is well suited to the processing of linear frequency modulated signals. Amongst the abilities it potentially offers are: the detection of signals at lower SNRs, better signal separation and the possibility of estimating the chirp rate of a signal. This work concentrates on using such a transform for detecting frequency modulated signals. For the detection problem the magnitude of the FrFT is sufficient and consequently the algorithm can be implemented efficiently by modifying a standard FFT, this implementation we shall refer to as a ‘Chirp-FFT’. This study considers the performance of the Chirp-FFT routine compared to the FFT routine for the detection of quiet underwater signals of both biological and man-made origin whose chirp rates are unknown a priori. Critically, the performance analysis here includes the effect the algorithms have on the background noise – a factor overlooked in other similar studies. The comparison is made on the basis of real data. It is shown that, unsurprisingly, the detection advantage offered by the Chirp-FFT is very much dependent on the character of the signal, but for the examples considered the gain in performance is in the range 0 - 3 dB
fractional fourier transform, detection, sonar processing, spectrogram, frequency modulation, chirp transform
Foundation for Research and Technology
Locke, Jonathan D.
2e4345cd-703f-4287-b1e2-7b43a3d1f419
White, Paul R.
2dd2477b-5aa9-42e2-9d19-0806d994eaba
Papdakis, J.S.
Bjorno, L.
Locke, Jonathan D.
2e4345cd-703f-4287-b1e2-7b43a3d1f419
White, Paul R.
2dd2477b-5aa9-42e2-9d19-0806d994eaba
Papdakis, J.S.
Bjorno, L.

Locke, Jonathan D. and White, Paul R. (2009) Detection performance of the fractional Fourier transform (chirp FFT) for frequency modulated signals. Papdakis, J.S. and Bjorno, L. (eds.) In Proceedings of the Third International Conference on Underwater Acoustic Measurements, Technologies and Results. Foundation for Research and Technology. 6 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

The Fractional Fourier transform (FrFT) is well suited to the processing of linear frequency modulated signals. Amongst the abilities it potentially offers are: the detection of signals at lower SNRs, better signal separation and the possibility of estimating the chirp rate of a signal. This work concentrates on using such a transform for detecting frequency modulated signals. For the detection problem the magnitude of the FrFT is sufficient and consequently the algorithm can be implemented efficiently by modifying a standard FFT, this implementation we shall refer to as a ‘Chirp-FFT’. This study considers the performance of the Chirp-FFT routine compared to the FFT routine for the detection of quiet underwater signals of both biological and man-made origin whose chirp rates are unknown a priori. Critically, the performance analysis here includes the effect the algorithms have on the background noise – a factor overlooked in other similar studies. The comparison is made on the basis of real data. It is shown that, unsurprisingly, the detection advantage offered by the Chirp-FFT is very much dependent on the character of the signal, but for the examples considered the gain in performance is in the range 0 - 3 dB

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More information

Published date: 2009
Venue - Dates: Third International Conference on Underwater Acoustic Measurements, Technologies and Results, Nafplion, Greece, 21-26 June 2009, Nafplion, Greece, 2009-06-20 - 2009-06-25
Keywords: fractional fourier transform, detection, sonar processing, spectrogram, frequency modulation, chirp transform

Identifiers

Local EPrints ID: 71470
URI: http://eprints.soton.ac.uk/id/eprint/71470
PURE UUID: ce32159b-aefa-4848-86b8-45161fa49454
ORCID for Paul R. White: ORCID iD orcid.org/0000-0002-4787-8713

Catalogue record

Date deposited: 11 Feb 2010
Last modified: 11 Dec 2021 02:48

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Contributors

Author: Jonathan D. Locke
Author: Paul R. White ORCID iD
Editor: J.S. Papdakis
Editor: L. Bjorno

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