基于FrFT的MIMO声纳水下运动小目标参数估计算法

doi:10.12305/j.issn.1001-506X.2025.09.03

Abstract

Abstract:

Addressing the issue of low accuracy and high computational complexity in estimating motion target parameters, a joint fast estimation algorithm for target parameters based on fractional Fourier transform is proposed. By using the focusing property of linear frequency modulation signal energy distribution in fractional domain, the target signals of interest are separated by fractional domain filtering to avoid the influence of strong interference targets. By analyzing the relationship between the energy distribution of target echo and target parameters in the fractional domain, the idea of the fourth-order origin moment of fractional spectrum is used for precise search of the optimal rotation order. Simulation and experimental processing results prove that the proposed method has the advantages of both computation speed and estimation accuracy. It obtains smaller parameter estimation error while strong interference is suppressed, and improves the accuracy of underwater moving small target detection.

Key words: multiple input multiple output (MIMO) sonar, moving target detection, fourth-order origin moment of fractional spectrum, target parameter estimation

CLC Number:

TN 911.7

Ning GAO, Feng XU, Juan YANG. Parameter estimation algorithm of underwater moving small target in MIMO sonar based on FrFT[J]. Systems Engineering and Electronics, 2025, 47(9): 2797-2807.

Figures/Tables 14

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Table 1

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Table 2

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References 32

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估计算法	运算精度	运算次数	运算时间/s
FrFT粗估计法	0.1	O（20Nlog₂N）	0.19706
FrFT二维搜索法	0.01	O（200Nlog₂N）	0.49456
	0.001	O（2000Nlog₂N）	2.44234
	0.0001	O（20000Nlog₂N）	40.05195
速度精细搜索法	0.0001	O（4000Nlog₂N）	6.12288
黄金分割搜索法	0.001	O（16Nlog₂N）	0.24161
所提方法	0.01	O（36Nlog₂N+34N）	0.39491
	0.001	O（50Nlog₂N+48N）	0.43048
	0.0001	O（64Nlog₂N+62N）	0.60214

目标速度/（m/s）	估计速度/（m/s）	多普勒因子真实值	多普勒因子估计值
1.0	0.7434	0.9987	0.9990
2.5	2.2562	0.9967	0.9970
5	4.6500	0.9934	0.9938
7.5	7.2732	0.9900	0.9903
10	9.7393	0.9868	0.9871

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Parameter estimation algorithm of underwater moving small target in MIMO sonar based on FrFT

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