Abstract

In order for the detection ability of floating small targets in sea clutter to be improved, on the basis of the complete ensemble empirical mode decomposition (CEEMD) algorithm, the high-frequency parts and low-frequency parts are determined by the energy proportion of the intrinsic mode function (IMF); the high-frequency part is denoised by wavelet packet transform (WPT), whereas the denoised high-frequency IMFs and low-frequency IMFs reconstruct the pure sea clutter signal together. According to the chaotic characteristics of sea clutter, we proposed an adaptive training timesteps strategy. The training timesteps of network were determined by the width of embedded window, and the chaotic long short-term memory network detection was designed. The sea clutter signals after denoising were predicted by chaotic long short-term memory (LSTM) network, and small target signals were detected from the prediction errors. The experimental results showed that the CEEMD-WPT algorithm was consistent with the target distribution characteristics of sea clutter, and the denoising performance was improved by 33.6% on average. The proposed chaotic long- and short-term memory network, which determines the training step length according to the width of embedded window, is a new detection method that can accurately detect small targets submerged in the background of sea clutter.

Highlights

  • Weak signal detection technology has been applied in many engineering fields, such as radar detection [1], medical signal extraction [2,3], fault diagnosis [4,5,6], etc

  • The experimental results showed that the complete ensemble empirical mode decomposition (CEEMD)-wavelet packet transform (WPT) algorithm was consistent with the target distribution characteristics of sea clutter, and the denoising performance was improved by 33.6% on average

  • We studied the intrinsic mode function (IMF) decomposed by complete ensemble empirical mode decomposition (CEEMD) and used the autocorrelation function of each IMF to segment the low-frequency IMF and the high-frequency IMF; the correctness of the separation method was judged by the agreement between the IMF energy ratio curve and the range gate distribution characteristics of sea clutter, the low-frequency IMFs are regarded as the main signal component, and the high-frequency IMFs are regarded as the noisy signal for wavelet packet transform denoising and use the measured sea clutter data to verify the universality of the proposed new method of selecting IMF

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Summary

Introduction

Weak signal detection technology has been applied in many engineering fields, such as radar detection [1], medical signal extraction [2,3], fault diagnosis [4,5,6], etc. Zhang et al [10] proposed a new combination model based on complementary empirical mode decomposition, T-S fuzzy neural network (FNN) optimized by improved genetic algorithm (IGA) and Markov error correction, to improve the accuracy of ultra-short-term wind power prediction. We studied the intrinsic mode function (IMF) decomposed by complete ensemble empirical mode decomposition (CEEMD) and used the autocorrelation function of each IMF to segment the low-frequency IMF and the high-frequency IMF; the correctness of the separation method was judged by the agreement between the IMF energy ratio curve and the range gate distribution characteristics of sea clutter, the low-frequency IMFs are regarded as the main signal component, and the high-frequency IMFs are regarded as the noisy signal for wavelet packet transform denoising and use the measured sea clutter data to verify the universality of the proposed new method of selecting IMF. We set the width of the embedded window as the training timesteps in the long short-term memory network to predict the sea clutter signal, detect small targets from the prediction error, and verify the detection efficiency of the chaotic long short-term memory network through experiments

CEEMD-WPT Denoising Algorithm
Chaotic Long- and Short-Term Memory Network
LSTM Network
LSTM Detection Method for Weak Signals in Chaotic Sequences
Data Sources
Total ratio of first five
Chaotic Long-Term and Short-Term Memory Network
Using the
Prediction results of thefound
Findings
Conclusions
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