An Improved Squirrel Search Algorithm for Maximum Likelihood DOA Estimation and Application for MEMS Vector Hydrophone Array

Maximum likelihood (ML) method for direction of arrival (DOA) estimation achieves an excellent performance in array signal processing, but the complexity and computational load of searching the multidimensional nonlinear function prevented it from practical application. Based on squirrel search algo...

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Main Authors: Peng Wang, Yujun Kong, Xuefang He, Mingxing Zhang, Xiuhui Tan
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8809740/
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author Peng Wang
Yujun Kong
Xuefang He
Mingxing Zhang
Xiuhui Tan
author_facet Peng Wang
Yujun Kong
Xuefang He
Mingxing Zhang
Xiuhui Tan
author_sort Peng Wang
collection DOAJ
description Maximum likelihood (ML) method for direction of arrival (DOA) estimation achieves an excellent performance in array signal processing, but the complexity and computational load of searching the multidimensional nonlinear function prevented it from practical application. Based on squirrel search algorithm (SSA), an improved SSA (ISSA) for ML DOA estimation is proposed in this paper, which can reduces the computational complexity. The idea of spatial variation and diffuse inspired by the invasive weed optimization(IWO) algorithm is applied to ISSA. The simulation experiments compared ISSA with SSA, IWO, seeker optimization algorithm(SOA), sine cosine algorithm (SCA), genetic algorithm (GA), particle swarm optimization (PSO) and differential evolution (DE) method for ML DOA estimator show that the proposed algorithm has faster convergence speed, fewer iterations and lower root mean square error(RMSE) under different number of signal sources, different signal to noise ratio(SNR) and different population size. Therefor the proposed algorithm does not only ensure the estimation accuracy, but also greatly reduce the computation complexity of multidimensional nonlinear optimization for the ML method. Finally, the test experiment using Micro Electronic Mechanical Systems(MEMS) vector hydrophone array in Fenhe lake show the engineering practicability of proposed ML DOA estimator with ISSA.The results obtained will be valuable in the application of engineering.
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spelling doaj.art-8e3a4250f6f04189be437299040a05172022-12-21T21:26:40ZengIEEEIEEE Access2169-35362019-01-01711834311835810.1109/ACCESS.2019.29368238809740An Improved Squirrel Search Algorithm for Maximum Likelihood DOA Estimation and Application for MEMS Vector Hydrophone ArrayPeng Wang0https://orcid.org/0000-0003-0865-5856Yujun Kong1Xuefang He2Mingxing Zhang3Xiuhui Tan4Department of Mathematics, North University of China, Taiyuan, ChinaDepartment of Mathematics, North University of China, Taiyuan, ChinaDepartment of Mathematics, North University of China, Taiyuan, ChinaDepartment of Mathematics, North University of China, Taiyuan, ChinaDepartment of Mathematics, North University of China, Taiyuan, ChinaMaximum likelihood (ML) method for direction of arrival (DOA) estimation achieves an excellent performance in array signal processing, but the complexity and computational load of searching the multidimensional nonlinear function prevented it from practical application. Based on squirrel search algorithm (SSA), an improved SSA (ISSA) for ML DOA estimation is proposed in this paper, which can reduces the computational complexity. The idea of spatial variation and diffuse inspired by the invasive weed optimization(IWO) algorithm is applied to ISSA. The simulation experiments compared ISSA with SSA, IWO, seeker optimization algorithm(SOA), sine cosine algorithm (SCA), genetic algorithm (GA), particle swarm optimization (PSO) and differential evolution (DE) method for ML DOA estimator show that the proposed algorithm has faster convergence speed, fewer iterations and lower root mean square error(RMSE) under different number of signal sources, different signal to noise ratio(SNR) and different population size. Therefor the proposed algorithm does not only ensure the estimation accuracy, but also greatly reduce the computation complexity of multidimensional nonlinear optimization for the ML method. Finally, the test experiment using Micro Electronic Mechanical Systems(MEMS) vector hydrophone array in Fenhe lake show the engineering practicability of proposed ML DOA estimator with ISSA.The results obtained will be valuable in the application of engineering.https://ieeexplore.ieee.org/document/8809740/Direction of arrival (DOA) estimationmaximum likelihood (ML)squirrel search algorithm (SSA)invasive weed optimization (IWO)micro electronic mechanical systems (MEMS) vector hydrophone
spellingShingle Peng Wang
Yujun Kong
Xuefang He
Mingxing Zhang
Xiuhui Tan
An Improved Squirrel Search Algorithm for Maximum Likelihood DOA Estimation and Application for MEMS Vector Hydrophone Array
IEEE Access
Direction of arrival (DOA) estimation
maximum likelihood (ML)
squirrel search algorithm (SSA)
invasive weed optimization (IWO)
micro electronic mechanical systems (MEMS) vector hydrophone
title An Improved Squirrel Search Algorithm for Maximum Likelihood DOA Estimation and Application for MEMS Vector Hydrophone Array
title_full An Improved Squirrel Search Algorithm for Maximum Likelihood DOA Estimation and Application for MEMS Vector Hydrophone Array
title_fullStr An Improved Squirrel Search Algorithm for Maximum Likelihood DOA Estimation and Application for MEMS Vector Hydrophone Array
title_full_unstemmed An Improved Squirrel Search Algorithm for Maximum Likelihood DOA Estimation and Application for MEMS Vector Hydrophone Array
title_short An Improved Squirrel Search Algorithm for Maximum Likelihood DOA Estimation and Application for MEMS Vector Hydrophone Array
title_sort improved squirrel search algorithm for maximum likelihood doa estimation and application for mems vector hydrophone array
topic Direction of arrival (DOA) estimation
maximum likelihood (ML)
squirrel search algorithm (SSA)
invasive weed optimization (IWO)
micro electronic mechanical systems (MEMS) vector hydrophone
url https://ieeexplore.ieee.org/document/8809740/
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