Designing Unimodular Waveform with Low Range Sidelobes and Stopband for Cognitive Radar via Relaxed Alternating Projection

Cognitive radar could adapt the spectrum of waveforms in response to information regarding the changing environment, so as to avoid narrowband interference or electronic jamming. Besides stopband constraints, low range sidelobes and unimodular property are also desired. In this paper, we propose a S...

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Main Authors: Xiang Feng, Yang-chun Song, Zhi-quan Zhou, Yi-nan Zhao
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2016/6280508
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author Xiang Feng
Yang-chun Song
Zhi-quan Zhou
Yi-nan Zhao
author_facet Xiang Feng
Yang-chun Song
Zhi-quan Zhou
Yi-nan Zhao
author_sort Xiang Feng
collection DOAJ
description Cognitive radar could adapt the spectrum of waveforms in response to information regarding the changing environment, so as to avoid narrowband interference or electronic jamming. Besides stopband constraints, low range sidelobes and unimodular property are also desired. In this paper, we propose a Spectral Approximation Relaxed Alternating Projection (SARAP) method, to synthesize unimodular waveform with low range sidelobes and spectral power suppressed. This novel method, based on phase retrieval and relaxed alternating projection, could convert the correlation optimization into the spectrum approximation via the Fast Fourier Transform (FFT). Moreover, by virtue of the relaxation factor and accelerated factor, SARAP can exploit local area and more likely converge to the global solution. Numerical trials have demonstrated that SARAP could achieve excellent performance and computational efficiency which will facilitate the real-time design.
format Article
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institution Kabale University
issn 1687-5869
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language English
publishDate 2016-01-01
publisher Wiley
record_format Article
series International Journal of Antennas and Propagation
spelling doaj-art-2ac0675a14214fc3add3789050cb93892025-02-03T01:31:45ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772016-01-01201610.1155/2016/62805086280508Designing Unimodular Waveform with Low Range Sidelobes and Stopband for Cognitive Radar via Relaxed Alternating ProjectionXiang Feng0Yang-chun Song1Zhi-quan Zhou2Yi-nan Zhao3School of Electronics and Information Engineering, Harbin Institute of Technology, No. 92 West Dazhi Street, Nan Gang District, Harbin, Heilongjiang 150001, ChinaSchool of Electronics and Information Engineering, Harbin Institute of Technology, No. 92 West Dazhi Street, Nan Gang District, Harbin, Heilongjiang 150001, ChinaSchool of Electronics and Information Engineering, Harbin Institute of Technology, No. 92 West Dazhi Street, Nan Gang District, Harbin, Heilongjiang 150001, ChinaSchool of Electronics and Information Engineering, Harbin Institute of Technology, No. 92 West Dazhi Street, Nan Gang District, Harbin, Heilongjiang 150001, ChinaCognitive radar could adapt the spectrum of waveforms in response to information regarding the changing environment, so as to avoid narrowband interference or electronic jamming. Besides stopband constraints, low range sidelobes and unimodular property are also desired. In this paper, we propose a Spectral Approximation Relaxed Alternating Projection (SARAP) method, to synthesize unimodular waveform with low range sidelobes and spectral power suppressed. This novel method, based on phase retrieval and relaxed alternating projection, could convert the correlation optimization into the spectrum approximation via the Fast Fourier Transform (FFT). Moreover, by virtue of the relaxation factor and accelerated factor, SARAP can exploit local area and more likely converge to the global solution. Numerical trials have demonstrated that SARAP could achieve excellent performance and computational efficiency which will facilitate the real-time design.http://dx.doi.org/10.1155/2016/6280508
spellingShingle Xiang Feng
Yang-chun Song
Zhi-quan Zhou
Yi-nan Zhao
Designing Unimodular Waveform with Low Range Sidelobes and Stopband for Cognitive Radar via Relaxed Alternating Projection
International Journal of Antennas and Propagation
title Designing Unimodular Waveform with Low Range Sidelobes and Stopband for Cognitive Radar via Relaxed Alternating Projection
title_full Designing Unimodular Waveform with Low Range Sidelobes and Stopband for Cognitive Radar via Relaxed Alternating Projection
title_fullStr Designing Unimodular Waveform with Low Range Sidelobes and Stopband for Cognitive Radar via Relaxed Alternating Projection
title_full_unstemmed Designing Unimodular Waveform with Low Range Sidelobes and Stopband for Cognitive Radar via Relaxed Alternating Projection
title_short Designing Unimodular Waveform with Low Range Sidelobes and Stopband for Cognitive Radar via Relaxed Alternating Projection
title_sort designing unimodular waveform with low range sidelobes and stopband for cognitive radar via relaxed alternating projection
url http://dx.doi.org/10.1155/2016/6280508
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