Abstract

Four data-driven methods—random forest (RF), support vector machine (SVM), feed-forward neural network (FNN), and convolutional neural network (CNN)—are applied to discriminate surface and underwater vessels in the ocean using low-frequency acoustic pressure data. Acoustic data are modeled considering a vertical line array by a Monte Carlo simulation using the underwater acoustic propagation model, KRAKEN, in the ocean environment of East Sea in Korea. The raw data are preprocessed and reorganized into the phone-space cross-spectral density matrix (pCSDM) and mode-space cross-spectral density matrix (mCSDM). Two additional matrices are generated using the absolute values of matrix elements in each CSDM. Each of these four matrices is used as input data for supervised machine learning. Binary classification is performed by using RF, SVM, FNN, and CNN, and the obtained results are compared. All machine-learning algorithms show an accuracy of >95% for three types of input data—the pCSDM, mCSDM, and mCSDM with the absolute matrix elements. The CNN is the best in terms of low percent error. In particular, the result using the complex pCSDM is encouraging because these data-driven methods inherently do not require environmental information. This work demonstrates the potential of machine learning to discriminate between surface and underwater vessels in the ocean.

Highlights

  • In a shallow-water waveguide, where the boundary interaction is strong, passive sonar usually has difficulty in discriminating a surface source such as a fishery boat or merchant ship from an underwater source such as an unmanned underwater vehicle or submarine

  • There exists a traditional method for the source depth estimation called a matched-field processing (MFP), which is a parameter estimation technique that integrates a physical model for acoustic propagation into the signal-processing algorithm [4,5,6,7]

  • Because several good references [16,17,18,25] for machine learning exist, we concisely review the theory of random forest (RF), support vector machine (SVM), forward neural network (FNN), and convolutional neural network (CNN) and their hyperparameter tuning

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Summary

Introduction

In a shallow-water waveguide, where the boundary interaction is strong, passive sonar usually has difficulty in discriminating a surface source such as a fishery boat or merchant ship from an underwater source such as an unmanned underwater vehicle or submarine. There exists a traditional method for the source depth estimation called a matched-field processing (MFP), which is a parameter estimation technique that integrates a physical model for acoustic propagation into the signal-processing algorithm [4,5,6,7]. A typical shallow-water waveguide has the sound-speed profile of downward refracting In this environment, it is well known that the higher-order modes are dominantly excited by the surface source. Machine learning algorithms [16,17,18,19,20] construct a generalized model that only relies on the given data, known as “training data”. We explore the applicability of machine learning algorithms for the binary classification of surface and underwater sources.

Normal-Model Model and Cross-Spectral
Machine Learning Algorithms
Random Forest
Support Vector Machine
Feedforward Neural Network
Convolutional Neural Network
DatainModeling
Input Data and Mode Signal Processing
Principal Component Analysis
Results
Discussion and Conclusions
Full Text
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