Abstract

In radar target detection, constant false alarm rate (CFAR), which stands for the adaptive threshold adjustment with variation of clutter to maintain the constant probability of false alarm during the detection, plays an important role. Matrix CFAR detection performed on the manifold of Hermitian positive-definite (HPD) covariance matrices is an efficient detection method that is based on information geometry. However, the HPD covariance matrix, which is constructed by a small bunch of pulses, describes the correlations among received data and suffers from severe information redundancy that limits the improvement of detection performance. This paper proposes a Principal Component Analysis (PCA) based matrix CFAR detection method for dealing with the point target detection problems in clutter. The proposed method can not only reduce dimensionality of HPD covariance matrix, but also reduce the redundant information and enhance the distinguishability between target and clutter. We first apply PCA to the cell under test, and construct a transformation matrix to map higher-dimensional matrix space to a lower-dimensional matrix space. Subsequently, the corresponding detection statistics and detection decision on matrix manifold are derived. Meanwhile, the corresponding signal-to-clutter ratio (SCR) is improved. Finally, the simulation experiment and real sea clutter data experiment show that the proposed method can achieve a better detection performance.

Highlights

  • Target detection in clutter environment is an important and fundamental problem in radar signal processing [1,2]

  • In comparison to other classification methods, e.g., SVM mainly works with vector data and needs to training and testing, the proposed Principal Component Analysis (PCA) method in this paper can directly work with the Hermitian positive-definite (HPD) matrix to extract the main components and improve the signal-to-clutter ratio (SCR), which are beneficial for target detection

  • The PCA method was carried out to reduce the dimensionality and redundant information of Toeplitz HPD covariance matrix, and the SCR was improved by capturing the main information

Read more

Summary

Introduction

Target detection in clutter environment is an important and fundamental problem in radar signal processing [1,2]. In comparison to other classification methods, e.g., SVM mainly works with vector data and needs to training and testing, the proposed PCA method in this paper can directly work with the HPD matrix to extract the main components and improve the SCR, which are beneficial for target detection. In this paper, PCA method, which can reduce the dimensionality of the Toeplitz HPD covariance matrix, and capture the main components and reduce the redundant information, is carried out to remove the weakly correlated redundant components with smaller eigenvalues, the distinguishbility between target and clutter can be enhanced. Simulation experiment and real sea clutter data experiment demonstrate the proposed PCA-based matrix CFAR detection method can achieve a better detection performance.

PCA for Information Redundancy Reduction of Covariance Matrix
PCA Method for Covariance Matrix
Analysis of Detection Performance
Geometric Metrics on HPD Matrix Manifold
Mapping from Observation Data to HPD Matrix Manifold
Geometric Metrics on Matrix Manifold
PCA-Based Matrix CFAR Detector
Method Steps
Numerical Experiments
Simulation Experiments
Numerical Experiments for Real Sea Clutter Data
Findings
Conclusions
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call