Next Article in Journal
Dimensional Errors Due to Overhanging Features in Laser Powder Bed Fusion Parts Made of Ti-6Al-4V
Next Article in Special Issue
An Efficient Ultra-Tight GPS/RISS Integrated System for Challenging Navigation Environments
Previous Article in Journal
A Hybrid Ion-Exchange Fabric/Ceramic Membrane System to Remove As(V), Zn(II), and Turbidity from Wastewater
Previous Article in Special Issue
Improved Active Interference Canceling Algorithms for Real-Time Protection of 2nd/3rd Level Facilities in Electronic Warfare Environment
Article

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

1
Department of Information and Communication Engineering, Sejong University, Seoul 05006, Korea
2
INITECH Co., Digital-ro 26-gil, Guro-gu, Seoul 08389, Korea
*
Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(7), 2415; https://doi.org/10.3390/app10072415
Received: 23 January 2020 / Revised: 7 March 2020 / Accepted: 26 March 2020 / Published: 1 April 2020
(This article belongs to the Special Issue Recent Advances in Electronic Warfare Networks and Scenarios)
This paper proposes a new method to get explicit expressions of some quantities associated with performance analysis of the maximum likelihood DOA algorithm in the presence of an additive Gaussian noise on the antenna elements. The motivation of the paper is to make a quantitative analysis of the ML DOA algorithm in the case of multiple incident signals. We present a simple method to derive a closed-form expression of the MSE of the DOA estimate based on the Taylor series expansion. Based on the Taylor series expansion and approximation, we get explicit expressions of the MSEs of estimates of azimuth angles of all incident signals. The validity of the derived expressions is shown by comparing the analytic results with the simulation results. View Full-Text
Keywords: maximum likelihood (ML); angle-of-arrival (AOA); uniform linear array (ULA); approximation maximum likelihood (ML); angle-of-arrival (AOA); uniform linear array (ULA); approximation
Show Figures

Figure 1

MDPI and ACS Style

Paik, J.W.; Lee, K.-H.; Lee, J.-H. Asymptotic Performance Analysis of Maximum Likelihood Algorithm for Direction-of-Arrival Estimation: Explicit Expression of Estimation Error and Mean Square Error. Appl. Sci. 2020, 10, 2415. https://doi.org/10.3390/app10072415

AMA Style

Paik JW, Lee K-H, Lee J-H. Asymptotic Performance Analysis of Maximum Likelihood Algorithm for Direction-of-Arrival Estimation: Explicit Expression of Estimation Error and Mean Square Error. Applied Sciences. 2020; 10(7):2415. https://doi.org/10.3390/app10072415

Chicago/Turabian Style

Paik, Ji W.; Lee, Kyu-Ho; Lee, Joon-Ho. 2020. "Asymptotic Performance Analysis of Maximum Likelihood Algorithm for Direction-of-Arrival Estimation: Explicit Expression of Estimation Error and Mean Square Error" Appl. Sci. 10, no. 7: 2415. https://doi.org/10.3390/app10072415

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop