A New LFM-Signal Detector Based on Fractional Fourier Transform

<p/> <p>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 n...

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Main Authors: Yin Zhiping, Chen Weidong
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:EURASIP Journal on Advances in Signal Processing
Online Access:http://asp.eurasipjournals.com/content/2010/876282
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spelling doaj-38ab20c768694c808b8497a35ade5bb72020-11-25T01:55:47ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802010-01-0120101876282A New LFM-Signal Detector Based on Fractional Fourier TransformYin ZhipingChen Weidong<p/> <p>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 <it>n</it>th-power (<inline-formula> <graphic file="1687-6180-2010-876282-i1.gif"/></inline-formula>) modulus of the fractional Fourier transform via mathematical derivation. Computer simulation results have confirmed the effectiveness of the proposed detector in LFM-signal detection.</p>http://asp.eurasipjournals.com/content/2010/876282
collection DOAJ
language English
format Article
sources DOAJ
author Yin Zhiping
Chen Weidong
spellingShingle Yin Zhiping
Chen Weidong
A New LFM-Signal Detector Based on Fractional Fourier Transform
EURASIP Journal on Advances in Signal Processing
author_facet Yin Zhiping
Chen Weidong
author_sort Yin Zhiping
title A New LFM-Signal Detector Based on Fractional Fourier Transform
title_short 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_sort new lfm-signal detector based on fractional fourier transform
publisher SpringerOpen
series EURASIP Journal on Advances in Signal Processing
issn 1687-6172
1687-6180
publishDate 2010-01-01
description <p/> <p>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 <it>n</it>th-power (<inline-formula> <graphic file="1687-6180-2010-876282-i1.gif"/></inline-formula>) modulus of the fractional Fourier transform via mathematical derivation. Computer simulation results have confirmed the effectiveness of the proposed detector in LFM-signal detection.</p>
url http://asp.eurasipjournals.com/content/2010/876282
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