Asymptotic Performance Analysis of Maximum Likelihood Algorithm for Direction-of-Arrival Estimation: Explicit Expression of Estimation Error and Mean Square Error

Paik, Ji Woong; Lee, Kyu‐Ho; Lee, Joon-Ho

doi:10.3390/app10072415

Cited by 7 publications

(6 citation statements)

References 17 publications

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“…Different studies have been carried out to establish the DOA of an incoming signal [ 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 ]. DOA estimation techniques can be broadly classified into conventional beamforming techniques, Maximum Likelihood Estimator (MLE), and Subspace-Based Techniques (SBT).…”

Section: Related Workmentioning

confidence: 99%

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Simultaneous Estimation of Azimuth and Elevation Angles Using a Decision Tree-Based Method

Carballeira

Figueiredo

Brito

2023

Sensors

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This study addresses the problem of accurately predicting azimuth and elevation angles of signals impinging on an antenna array employing Machine Learning (ML). Using the information obtained at a receiving system when a transmitter’s signal hits it, a Decision Tree (DT) model is trained to estimate azimuth and elevation angles simultaneously. Simulation results demonstrate the robustness of the proposed DT-based method, showcasing its ability to predict the Direction of Arrival (DOA) in diverse conditions beyond the ones present in the training dataset, i.e., the results display the model’s generalization capability. Additionally, the comparative analysis reveals that DT-based DOA estimation outperforms the state-of-the-art MUltiple SIgnal Classification (MUSIC) algorithm. Our results demonstrate an average reduction of over 90% in the prediction error and 50% in the prediction time achieved by our proposal when compared to the MUSIC algorithm. These results establish DTs as competitive alternatives for DOA estimation in signal reception systems.

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Section: Related Workmentioning

confidence: 99%

“…MLE solutions can be classified into two approaches: stochastic MLE and deterministic MLE. In the stochastic MLE, the signals are assumed to be Gaussian distributed [ 13 , 14 , 15 ]. Deterministic MLE methods consider the signals as being arbitrary and deterministic [ 15 , 16 ].…”

Section: Related Workmentioning

confidence: 99%

Simultaneous Estimation of Azimuth and Elevation Angles Using a Decision Tree-Based Method

Carballeira

Figueiredo

Brito

2023

Sensors

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“…The conventional DOA estimation algorithms [ 1 , 2 , 3 , 4 , 5 , 6 , 7 ] are based on an overdetermined system. Therefore, the sensor failure of an array becomes a factor that greatly degrades the DOA estimation performance of the algorithms.…”

Section: Introductionmentioning

confidence: 99%

An Enhanced Smoothed L0-Norm Direction of Arrival Estimation Method Using Covariance Matrix

Paik

Lee

Hong

2021

Sensors

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An enhanced smoothed l0-norm algorithm for the passive phased array system, which uses the covariance matrix of the received signal, is proposed in this paper. The SL0 (smoothed l0-norm) algorithm is a fast compressive-sensing-based DOA (direction-of-arrival) estimation algorithm that uses a single snapshot from the received signal. In the conventional SL0 algorithm, there are limitations in the resolution and the DOA estimation performance, since a single sample is used. If multiple snapshots are used, the conventional SL0 algorithm can improve performance in terms of the DOA estimation. In this paper, a covariance-fitting-based SL0 algorithm is proposed to further reduce the number of optimization variables when using multiple snapshots of the received signal. A cost function and a new null-space projection term of the sparse recovery for the proposed scheme are presented. In order to verify the performance of the proposed algorithm, we present the simulation results and the experimental results based on the measured data.

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“…In recent previous studies [1][2][3], we have proposed how the closed-form expressions of the MSE of various DOA estimation algorithms can be analytically obtained.…”

Section: Introductionmentioning

confidence: 99%

“…In [1][2][3], closed-form expressions of the MSEs of the estimation errors for the maximum likelihood DOA estimation, the MUSIC algorithm and amplitude comparison monopulse algorithm, respectively, have been derived.…”

Section: Introductionmentioning

confidence: 99%

Performance Analysis of Interferometer Algorithm under Phase Measurement Error

Lee

2021

Applied Sciences

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Direction finding has been extensively studied over the past decades and a number of algorithms have been developed. In direction finding, theoretic performance prediction is a fundamental problem. This paper addresses the performance analysis issue of interferometer-based 2D angle of arrival estimation using uniform circular array (UCA). We propose an analytic method for performance analysis of interferometer in the presence of Gaussian or uniform error in phase measurement of incident signal on each sensor. The analytic mean square error (MSE), which is approximately equal to the MSE of actual interferometer-based DOA estimation, is derived via Taylor expansion and approximation. The derived analytic MSE is useful for predicting how the MSE of the interferometer-based DOA estimation algorithm is dependent on the phase measurement error.

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Asymptotic Performance Analysis of Maximum Likelihood Algorithm for Direction-of-Arrival Estimation: Explicit Expression of Estimation Error and Mean Square Error

Cited by 7 publications

References 17 publications

Simultaneous Estimation of Azimuth and Elevation Angles Using a Decision Tree-Based Method

Simultaneous Estimation of Azimuth and Elevation Angles Using a Decision Tree-Based Method

An Enhanced Smoothed L0-Norm Direction of Arrival Estimation Method Using Covariance Matrix

Performance Analysis of Interferometer Algorithm under Phase Measurement Error

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