A New LFM-Signal Detector Based on Fractional Fourier Transform

A new LFM-signal detector formulated by the integration of the 4th-power modulus of the fractional Fourier transform is proposed. It has similar performance to the modulus square detector of Radon-ambiguity transform because of the equivalence relationship between them. But the new detector has much...

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Main Authors: Zhiping Yin, Weidong Chen
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:EURASIP Journal on Advances in Signal Processing
Online Access:http://dx.doi.org/10.1155/2010/876282
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author Zhiping Yin
Weidong Chen
author_facet Zhiping Yin
Weidong Chen
author_sort Zhiping Yin
collection DOAJ
description A new LFM-signal detector formulated by the integration of the 4th-power modulus of the fractional Fourier transform is proposed. It has similar performance to the modulus square detector of Radon-ambiguity transform because of the equivalence relationship between them. But the new detector has much lower computational complexity in the case that the number of the searching angles is far less than the length of the signal. Moreover, it is proved that the new detector can be generalized to the integration of the nth-power (2<n) modulus of the fractional Fourier transform via mathematical derivation. Computer simulation results have confirmed the effectiveness of the proposed detector in LFM-signal detection.
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spelling doaj.art-94a8e6c075494042a0b9e6ec10d82f0b2022-12-22T01:06:06ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802010-01-01201010.1155/2010/876282A New LFM-Signal Detector Based on Fractional Fourier TransformZhiping YinWeidong ChenA new LFM-signal detector formulated by the integration of the 4th-power modulus of the fractional Fourier transform is proposed. It has similar performance to the modulus square detector of Radon-ambiguity transform because of the equivalence relationship between them. But the new detector has much lower computational complexity in the case that the number of the searching angles is far less than the length of the signal. Moreover, it is proved that the new detector can be generalized to the integration of the nth-power (2<n) modulus of the fractional Fourier transform via mathematical derivation. Computer simulation results have confirmed the effectiveness of the proposed detector in LFM-signal detection.http://dx.doi.org/10.1155/2010/876282
spellingShingle Zhiping Yin
Weidong Chen
A New LFM-Signal Detector Based on Fractional Fourier Transform
EURASIP Journal on Advances in Signal Processing
title A New LFM-Signal Detector Based on Fractional Fourier Transform
title_full A New LFM-Signal Detector Based on Fractional Fourier Transform
title_fullStr A New LFM-Signal Detector Based on Fractional Fourier Transform
title_full_unstemmed A New LFM-Signal Detector Based on Fractional Fourier Transform
title_short A New LFM-Signal Detector Based on Fractional Fourier Transform
title_sort new lfm signal detector based on fractional fourier transform
url http://dx.doi.org/10.1155/2010/876282
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