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Wigner-Matrix-Based Normality Test and Application to Weak Signal Detection in SISO/SIMO Systems |
| Jun Chen, Fei Wang, Jian-Jiang Zhou** |
Key Laboratory of Radar Imaging and Microwave Photonics (Ministry of Education), Nanjing University of Aeronautics and Astronautics, Nanjing 210016
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| Cite this article: |
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Jun Chen, Fei Wang, Jian-Jiang Zhou 2016 Chin. Phys. Lett. 33 120201 |
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Abstract Based on the asymptotic spectral distribution of Wigner matrices, a new normality test method is proposed via reforming the white noise sequence. In this work, the asymptotic cumulative distribution function (CDF) of eigenvalues of the Wigner matrix is deduced. A numerical Kullback–Leibler divergence of the empirical spectral CDF based on test samples from the deduced asymptotic CDF is established, which is treated as the test statistic. For validating the superiority of our proposed normality test, we apply the method to weak 8PSK signal detection in the single-input single-output (SISO) system and the single-input multiple-output (SIMO) system. By comparing with other common normality tests and the existing signal detection methods, simulation results show that the proposed method is superior and robust.
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Received: 15 June 2016
Published: 29 December 2016
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| PACS: |
02.10.Yn
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(Matrix theory)
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84.40.Ua
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(Telecommunications: signal transmission and processing; communication satellites)
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84.40.Xb
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(Telemetry: remote control, remote sensing; radar)
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| Fund: Supported by the National Natural Science Foundation of China under Grant No 61371170, the Fundamental Research Funds for the Central Universities under Grant Nos NP2015404 and NS2016038, the Aeronautical Science Foundation of China under Grant No 20152052028, and the Funding of Jiangsu Innovation Program for Graduate Education under Grant No KYLX15_0282. |
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