WFRFT modulation recognition based on HOC and optimal order searching algorithm

doi:10.21629/JSEE.2018.03.03

Journal of Systems Engineering and Electronics ›› 2018, Vol. 29 ›› Issue (3): 462-470.doi: 10.21629/JSEE.2018.03.03

收稿日期:2017-03-17 出版日期:2018-06-28 发布日期:2018-07-02

WFRFT modulation recognition based on HOC and optimal order searching algorithm

Yuan LIANG*(), Xinyu DA(), Jialiang WU(), Ruiyang XU(), Zhe ZHANG(), Hujun LIU()

Information and Navigation College, Air Force Engineering University, Xi'an 710077, China

Received:2017-03-17 Online:2018-06-28 Published:2018-07-02
Contact: Yuan LIANG E-mail:lycrazy0925@163.com;xingjixingzhi681@163.com;shizihemi86@163.com;360474918@qq.com;qhrjztsptkcgdb035@163.com;huiguanzhan914032@163.com
About author:LIANG Yuan was born in 1989. He received his B.S. degree in information and navigation engineering and M.S. degree in information and communication engineering from Air Force Engineering University, China, in 2012 and 2015, respectively. He is currently pursuing his Ph.D. degree at Institute of Information and Navigation, Air Force Engineering University, Xi'an, China. His research interests include intelligent signal processing, wireless communications, secure communications, optimization and intelligent algorithm. E-mail: lycrazy0925@163.com|DA Xinyu was born in 1961. He received his B.S. degree in Xidian University, M.S. degree in communication and electronic system from Air and Missile Defense College, and Ph.D. degree from School of Marine Science and Technology, Northwestern Polytechnical University, in 1983, 1988 and 2007 respectively. He is working as a professor in Information and Navigation College, Air Force Engineering University. His research interests include satellite communications, communication theory, signal processing, transform domain communication system and cognitive radio. E-mail: xingjixingzhi681@163.com|WU Jialiang was born in 1990. He received his B.S. degree and M.S. degree in electrical engineering in 2011 and 2013, respectively. He is currently pursuing his Ph.D. degree at Institute of Information and Navigation, Air Force Engineering University, Xi'an, China. His research interests include the study of frequency selective surfaces, metamaterials and novel designs of reflect array antennas. E-mail: shizihemi86@163.com|XU Ruiyang was born in 1992. He received his B.S. degree in automatic control engineering and M.S. degree in information and communication engineering from Air Force Engineering University, China, in 2013 and 2016, respectively. He is currently pursuing his Ph.D. degree at Institute of Information and Navigation, Air Force Engineering University, Xi'an, China. His research interests include satellite communications, covert communications, optimization and intelligent algorithm. E-mail: 360474918@qq.com|ZHANG Zhe was born in 1992. He received his B.S. degree in electronic science and technology in 2015. He is currently pursuing his M.S. degree at Institute of Information and Navigation, Air Force Engineering University, Xi'an, China. His research interests include wireless communications, intelligent signal processing and secure communications. E-mail: qhrjztsptkcgdb035@163.com|LIU Huijun was born in 1993. He received his B.S. degree in electronic information engineering from Xihua University, China, in 2015. He is currently pursuing his M.S. degree at Institute of Information and Navigation, Air Force Engineering University, Xi'an, China. His research interests include signal processing, intellegent algorithm and wireless communications. E-mail: huiguanzhan914032@163.com
Supported by:
the National Natural Science Foundation of China(61271250);the National Natural Science Foundation of China(61571460);This work was supported by the National Natural Science Foundation of China (61271250; 61571460)

摘要/Abstract

Abstract:

A hybrid carrier (HC) scheme based on weighted-type fractional Fourier transform (WFRFT) has been proposed recently. While most of the works focus on HC scheme's inherent characteristics, little attention is paid to the WFRFT modulation recognition. In this paper, a new theory is provided to recognize the WFRFT modulation based on higher order cumulants (HOC). First, it is deduced that the optimal WFRFT received order can be obtained through the minimization of 4th-order cumulants, $ C_{42} $. Then, a combinatorial searching algorithm is designed to minimize $ C_{42} $. Finally, simulation results show that the designed scheme has a high recognition rate and the combinatorial searching algorithm is effective and reliable.

Key words: weighted-type fractional Fourier transform (WFRFT), modulation recognition, higher order cumulants (HOC), combinatorial searching algorithm

. [J]. Journal of Systems Engineering and Electronics, 2018, 29(3): 462-470.

Yuan LIANG, Xinyu DA, Jialiang WU, Ruiyang XU, Zhe ZHANG, Hujun LIU. WFRFT modulation recognition based on HOC and optimal order searching algorithm[J]. Journal of Systems Engineering and Electronics, 2018, 29(3): 462-470.

图/表 11

参考文献 27

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α_t	Algo Ⅰ		Algo Ⅱ		Algo Ⅲ
α_t	n	PSWR	n	PSWR	n	PSWR
0.87	19.960 187	0.427	6.845 433	0.427	6.526 315	0.057
0.73	19.997 907	0.478	6.897 489	0.478	4.469 728	0.479
0.55	19.836 134	0.476	6.762 605	0.476	4.060 085	0.466
0.35	19.854 978	0.462	6.857 142	0.462	4.469 248	0.439
0.2	19.964 656	0.481	6.690 228	0.481	5.542 521	0.341
0.1	20.000 000	0.467	6.777 301	0.467	7.526 316	0.019

α_t	Algo Ⅰ		Algo Ⅱ		Algo Ⅲ
α_t	n	PSWR	n	PSWR	n	PSWR
0.87	19.965 066	0.687	6.598 253	0.687	9.636 363	0.044
0.73	19.992 548	0.671	6.712 797	0.672	4.126 865	0.67
0.55	19.822 485	0.676	6.473 372	0.676	3.770 370	0.675
0.35	19.872 807	0.684	6.682 748	0.684	4.477 941	0.68
0.2	19.975 610	0.697	6.521 490	0.698	5.270 566	0.547
0.1	19.998 532	0.681	6.568 281	0.681	6.454 545	0.011

α_t	Algo Ⅰ		Algo Ⅱ		Algo Ⅲ
α_t	n	PSWR	n	PSWR	n	PSWR
0.87	19.977 090	0.873	6.492 554	0.873	7.789 473	0.019
0.73	19.996 499	0.857	6.548 424	0.857	4.038 461	0.858
0.55	19.846 857	0.875	6.339 428	0.875	3.570 285	0.875
0.35	19.881 222	0.884	6.552 036	0.884	4.420 339	0.885
0.2	19.968 160	0.848	6.366 745	0.848	5.576 763	0.723
0.1	20.000 000	0.888	6.483 108	0.888	8.000 000	0.002

α_t	Algo Ⅰ		Algo Ⅱ		Algo Ⅲ
α_t	n	PSWR	n	PSWR	n	PSWR
0.87	19.977 436	0.975	6.454 918	0.976	10.363 636	0.011
0.73	19.996 872	0.959	6.427 528	0.959	4.010 427	0.959
0.55	19.838 710	0.961	6.247 916	0.960	3.428 125	0.960
0.35	19.886 674	0.953	6.439 664	0.953	4.482 686	0.953
0.2	19.972 194	0.971	6.367 662	0.971	5.434 731	0.858
0.1	20.000 000	0.960	6.407 291	0.960	NaN	0.000

WFRFT modulation recognition based on HOC and optimal order searching algorithm

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