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Open AccessArticle

Blind Frequency Estimation and Symbol Recovery for the Analytically Solvable Chaotic System

College of Electronic Science, National University of Defense Technology, Changsha 410073, China
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Entropy 2019, 21(8), 791; https://doi.org/10.3390/e21080791
Received: 26 June 2019 / Revised: 5 August 2019 / Accepted: 5 August 2019 / Published: 13 August 2019
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Abstract

The analytically solvable chaotic system (ASCS) is a promising chaotic system in chaos communication and radar fields. In this paper, we propose a maximum likelihood estimator (MLE) to estimate the frequency of ASCS, then a difference-integral (DI) detector is designed with the estimated frequency, and the symbols encoded in the signal are recovered. In the proposed method, the frequency parameter is estimated by an MLE based on the square power of the received signal. The Cramer-Rao lower bound in blind frequency estimation and the bit error performance in symbol detection are analyzed to assess the performance of the proposed method. Numerical results validate the analysis and demonstrate that the proposed symbol detector achieves the error performance with a little cost of 1 dB compared to the coherent detector. The robustness of the proposed method towards parameters is also verified through simulations. View Full-Text
Keywords: analytically solvable chaotic system; frequency estimation; performance evaluation analytically solvable chaotic system; frequency estimation; performance evaluation
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Zhou, A.; Wang, S.; Luo, J. Blind Frequency Estimation and Symbol Recovery for the Analytically Solvable Chaotic System. Entropy 2019, 21, 791.

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