Abstract

This paper introduces an off-grid DoA estimation via two-stage cascaded network which can resolve a mismatch between true direction-of-arrival (DoA) and discrete angular grid. In the first-stage network, the initial DoAs are estimated with a convolutional neural network (CNN), where initial DoAs are mapped on the discrete angular grid. To deal with the mismatch between initially estimated DoAs and true DoAs, the second-stage network estimates a tuning vector which represents the difference between true DoAs and nearest discrete angles. By using tuning vector, the final DoAs are estimated by moving initially estimated DoAs as much as the difference between true DoAs and nearest discrete angles. The limitation on estimation accuracy induced by the discrete angular grid can be resolved with the proposed two-stage network so that the estimation accuracy can be further enhanced. Simulation results show that adding the second-stage network after the first-stage network helps improve the estimation accuracy by resolving mismatch induced by the discretized grid. In the aspect of the implementation of machine learning, results also show that using CNN and using PReLU as the activation function is the best option for accurate estimation.

Highlights

  • Direction-of-arrival (DoA) estimation is one of the long-studied research topics in array signal processing

  • To prevent the inevitable estimation error induced by mismatch between true DoAs and discrete angles within the grid, we propose a novel off-grid DoA estimation algorithm based on the two-stage cascaded neural network (NN)

  • We propose the off-grid DoA estimation algorithm which can resolve mismatch induced by discretized angular grid via two-stage cascaded NN

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Summary

Introduction

Direction-of-arrival (DoA) estimation is one of the long-studied research topics in array signal processing. Traditional DoA estimation algorithms such as MUSIC [5] have high estimation accuracy and resolution They require a large number of snapshots and cannot properly estimate DoAs of coherent signal sources. To prevent the inevitable estimation error induced by mismatch between true DoAs and discrete angles within the grid, we propose a novel off-grid DoA estimation algorithm based on the two-stage cascaded NN. The second-stage network estimates a tuning vector which represents the difference between true DoAs and nearest discrete angles. Simulation results prove that the two-stage cascaded NN can achieve higher estimation accuracy than using a single network by resolving the mismatch induced by the discrete angular grid.

Signal Model
Off-Grid DoA Estimation via Cascaded Convolutional Neural Network
First Stage
Second Stage
Simulation Settings
Performance Analysis According to Hyperparameters
Analysis on Estimation Accuracy and Resolution
Conclusions
Full Text
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