Circuits, Systems, and Signal Processing

, Volume 35, Issue 5, pp 1705–1727 | Cite as

Statistical Distribution of Difference of the Maximum-Likelihood Angle-of-Arrival Spectra

  • Joon-Ho LeeEmail author
  • Sung-Woo Cho
  • So-Hee Jeong
  • Eun-Kyung Lee


We consider the performance analysis of the maximum-likelihood (ML) angle-of-arrival (AOA) estimation algorithm in this paper. Based on the observation that the ML AOA spectrum is noncentral chi-square distributed with known degree of freedom and known noncentrality, we propose how to numerically evaluate the probability density function of the difference between two ML spectra associated with two different directions. By judiciously choosing the two different angles, we can analytically determine the probability that the ML spectrum at the nearest grid is greater than the ML spectrum at the second nearest grid by arbitrary value. Numerical examples are used to validate the derived expressions.


Performance analysis Angle of arrival (AOA) Maximum likelihood (ML) Probability density function (PDF) 



This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2013R1A1A2A10012245).


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Joon-Ho Lee
    • 1
    Email author
  • Sung-Woo Cho
    • 2
  • So-Hee Jeong
    • 1
  • Eun-Kyung Lee
    • 1
  1. 1.Department of Information and Communication EngineeringSejong UniversitySeoulKorea
  2. 2.LIG Nex1 Co., Ltd.Seongnam-CityKorea

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