Eigenvalue Gap의 Ratio를 이용한 신호 개수 추정 방법 및 Rayleigh Fading 환경에서의 신호 개수 추정 성능 비교 = Source Enumeration Method using Eigenvalue Gap Ratio and Performance Comparison in Rayleigh Fading

다국어 초록 (Multilingual Abstract)

In electronic warfare, source enumeration and direction-of-arrival estimation are important. The source enumeration method based on eigenvalues of covariance matrix from received is one of the most used methods. However, there are some drawbacks such as accuracy less than 100 % at high SNR, poor performance at low SNR and reduction of maximum number of estimating sources. We suggested new method based on eigenvalues gaps, which is named AREG(Accumulated Ratio of Eigenvalues Gaps). Meanwhile, FGML(Fast Gridless Maximum Likelihood) which reconstructs the covariance matrix was suggested by Wu et al., and it improves performance of the existing source enumeration methods without modification of algorithms. In this paper, first, we combine AREG with FGML to improve the performance. Second, we compare the performance of source enumeration and direction-of-arrival estimation methods in Rayleigh fading. Third, we suggest new method named REG(Ratio of Eigenvalues Gaps) to reduce performance degradation in Rayleigh Fading environment of AREG.

참고문헌 (Reference)

1 진희철, "지상용 전자전장비의 방향 탐지 프로세스 개선을 통한 정확도 향상에 관한 연구" 한국산학기술학회 18 (18): 627-635, 2017

2 Q. Pan, "Source Enumeration based on a Uniform Circular Array in a Determined Case" 68 (68): 700-712, 2019

3 Y. Lee, "Source Enumeration Approaches using Eigenvalue Gaps and Machine Learning based Threshold for Direction-of-Arrival Estimation" 11 (11): 1942-, 2021

4 L. Huang, "Reduced-Rank MDL Method for Source Enumeration in High-Resolution Array Processing" 55 (55): 5658-5667, 2007

5 J. Jeong, "Performance of MUSIC and ESPRIT for Joint Estimation of DOA and Angular Spread in Slow Fading Environment" E85-B (E85-B): 972-977, 2002

6 H. Trees, "Optimum Array Processing - Detection, Estimation, and Modulation Theory" John Wiley &Sons, Inc 827-841, 2002

7 A. Liavas, "On the Behavior of Information Theoretic Criteria for Model Order Selection" 49 (49): 1689-1695, 2001

8 T. Shan, "On Spatial Smoothing for Direction-of-Arrival Estimation of Coherent Signals" 33 (33): 806-811, 1985

9 S. Beheshti, "Number of Source Signal Estimation by the Mean Squared Eigenvalue Error" 66 (66): 5694-5704, 2018

10 P. Pal, "Nested Arrays : A Novel Approach to Array Processing with Enhanced Degrees of Freedom" 58 (58): 4167-4181, 2010

11 R. Schmidt, "Multiple Emitter Location and Signal Parameter Estimation" 34 (34): 276-280, 1986

12 M. Morency, "Joint Detection and Localization of an Unknown Number of Sources using the Algebraic Structure of the Noise Subspace" 66 (66): 4685-4700, 2018

13 Z. Chen, "Introduction to Direction-of-Arrival Estimation" Artech House 31-92, 2010

14 A. Barabell, "Improving the Resolution Performance of Eigenstructure-based Direction-Finding Algorithms" 8 : 336-339, 1983

15 K. Han, "Improved Source Number Detection and Direction Estimation with Nested Arrays and ULAs using Jackknifing" 61 (61): 6118-6128, 2013

16 P. Chevalier, "High-Resolution Direction Finding from Higher Oder Statistics-The 2q-MUSIC" 54 (54): 2986-2997, 2006

17 S. Schell, "High-Resolution Direction Finding" 10 : 755-817, 1993

18 K. Xu, "High-Accuracy Signal Subspace Separation Algorithm based on Gaussian Kernel Soft Partition" 66 (66): 491-499, 2019

19 E. Fishler, "Estimation of the Number of Sources in Unbalanced Arrays via Information Theoretic Criteria" 53 (53): 3543-3553, 2005

20 A. Badawy, "Estimating the Number of Sources in White Gaussian Noise: Simple Eigenvalues based Approaches" 11 (11): 669-673, 2017

21 D. Adamy, "EW Against a New Generationof Threats:EW 104" GIST Press 9-39, 2020

22 R. Roy, "ESPRIT-Estimation of Signal Parameters via Rotational Invariance Techniques" 37 (37): 984-995, 1989

23 J. Proakis, "Digital Communications" McGraw-Hill 830-843, 2007

24 M. Wax, "Detection of Signals by Information Theoretic Criteria" 33 (33): 387-392, 1998

25 O. Hu, "Detecting the Number of Signals using Antenna Array: A Single Threshold Solution" 905-908, 1999

26 Z. He, "Detecting the Number of Clusters in n-Way Probabilistic Clustering" 32 (32): 2006-2021, 2010

27 F. Yan, "Computationally Efficient Direction of Arrival Estimation with Unknown Number of Signals" 78 : 175-184, 2018

28 M. Grant, "CVX: Matlab Software for Disciplined Vonvex Programming"

29 Z. Zhu, "Automatic Modulation Classification - Principles, Algorithms and Applications" John Wiley & Sons, Inc 144-150, 2015

30 X. Wu, "A Fast Gridless Covariance Matrix Reconstruction Method for Oneand Two-Dimensional Direction-of-Arrival Estimation" 17 (17): 4916-4927, 2017

31 P. Chen, "A Comparative Study of Model Selection Criteria for the Number of Signals" 2 (2): 180-188, 2008