Application of novel super-exponential iteration algorithm in underwater acoustic channel

doi:10.23919/JSEE.2023.000052

Journal of Systems Engineering and Electronics ›› 2024, Vol. 35 ›› Issue (5): 1122-1131.doi: 10.23919/JSEE.2023.000052

• ELECTRONICS TECHNOLOGY • Previous Articles Next Articles

Application of novel super-exponential iteration algorithm in underwater acoustic channel

Xiaoling NING¹(), Bing FU¹(), Linsen ZHANG¹^,*(), Jiahao QIU²(), Lei ZHU³(), Chengxu FENG¹()

¹ Department of Weaponry Engineering, Naval University of Engineering, Wuhan 430033, China
² Unit 91959 of the PLA, Sanya 572000, China
³ The 9th Student Brigade, Naval University of Engineering, Wuhan 430033, China

Received:2022-02-24 Online:2024-10-18 Published:2024-11-06
Contact: Linsen ZHANG E-mail:8497457@qq.com;13476039901@139.com;45189150@qq.com;2460603578@qq.com;2503756720@qq.com;Kerryfengcx@126.com
About author:
NING Xiaoling was born in 1982. She received her M.S. and Ph.D. degrees from Naval University of Engineering, Wuhan, China, in 2008 and 2011, respectively. She is currently a lecturer with Naval University of Engineering. Her research interests include underwater high-rate data communication and underwater acoustic channel estimation and equalization. E-mail: 8497457@qq.com

FU Bing was born in 1979. He received his M.S. and Ph.D. degrees from Naval University of Engineering, Wuhan, China, in 2005 and 2015, respectively. He is currently an associate professor with Naval University of Engineering. His research interests include ship fire control system and firepower and compatibility. E-mail: 13476039901@139.com

ZHANG Linsen was born in 1982. He received his M.S. and Ph.D. degrees from Naval University of Engineering, Wuhan, China, in 2007 and 2011, respectively. He is currently a lecturer with Naval University of Engineering. His research interests include propulsion control technology of underwater vehicle. E-mail: 45189150@qq.com

QIU Jiahao was born in 1999. He received his B.S. degree from Naval University of Engineering, Wuhan, China, in 2021. He is currently pursuing his M.S. degree with Naval University of Engineering. His research interests include underwater acoustic communication and electronic information. E-mail: 2460603578@qq.com

ZHU Lei was born in 1999. He received his B.S. degree from Naval University of Engineering, Wuhan, China, in 2022. He is currently pursuing his M.S. degree with Naval University of Engineering. His research interests include ship command and control. E-mail: 2503756720@qq.com

FENG Chengxu was born in 1986. He received his M.S. and Ph.D. degrees from Naval University of Engineering, Wuhan, China, in 2010 and 2014, respectively. He is currently a lecturer with Naval University of Engineering. His research interests include ship fire command and control and unmanned equipment fire command and control. E-mail: Kerryfengcx@126.com
Supported by:
This work was supported by the National Natural Science Foundation of China (61671461)

Abstract

Abstract:

A novel variable step-size modified super-exponential iteration (MSEI) decision feedback blind equalization (DFE) algorithm with second-order digital phase-locked loop is put forward to improve the convergence performance of super-exponential iteration DFE algorithm. Based on the MSEI-DFE algorithm, it is first proposed to develop an error function as an improvement to the error function of MSEI, which effectively achieves faster convergence speed of the algorithm. Subsequently, a hyperbolic tangent function variable step-size algorithm is developed considering the high variation rate of the hyperbolic tangent function around zero, so as to further improve the convergence speed of the algorithm. In the end, a second-order digital phase-locked loop is introduced into the decision feedback equalizer to track and compensate for the phase rotation of equalizer input signals. For the multipath underwater acoustic channel with mixed phase and phase rotation, quadrature phase shift keying (QPSK) and 16 quadrature amplitude modulation (16QAM) modulated signals are used in the computer simulation of the algorithm in terms of convergence and carrier recovery performance. The results show that the proposed algorithm can considerably improve convergence speed and steady-state error, make effective compensation for phase rotation, and efficiently facilitate carrier recovery.

Key words: super-exponential, decision feedback, variable step-size, phase rotation, digital phase-locked loop, underwater acoustic channel

Xiaoling NING, Bing FU, Linsen ZHANG, Jiahao QIU, Lei ZHU, Chengxu FENG. Application of novel super-exponential iteration algorithm in underwater acoustic channel[J]. Journal of Systems Engineering and Electronics, 2024, 35(5): 1122-1131.

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Step Size	MSEI-DFE	VS-MSEI-DFE	VS-NMSEI-DFE-DPLL
μ₁=μ₂=0.0008, α=β=0.005	Unstable	0.1667	0.000889
μ₁=μ₂=0.0008, α=0.01, β=0.0001	Unstable	0.1432	0.000663

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Application of novel super-exponential iteration algorithm in underwater acoustic channel

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