A Symbol Rate Estimation Algorithm Based on Stochastic Resonance Combined with Wavelet Transform
ZHANG Zheng1, MA Jin-quan1,2
1. PLA Strategic Support Force Information Engineering University, Zhengzhou, Henan 450002, China;
2. National Signal Analysis & Processing Experiment Education Demonstration Center, Zhengzhou, Henan 450002, China
Abstract：In non-cooperative communications,due to the deterioration of the channel,the Signal-Noise Ratio (SNR) of the receiving signal is very low in many cases,resulting in the inability to accurately estimate the symbol rate.Stochastic resonance can use noise energy to transfer and amplify the weak signals to some extent,and wavelet transform can effectively detect the instantaneous variation of phase and amplitude of the signals.By using the advantages of both methods,a combination algorithm for estimating the symbol rate of MPSK and MQAM is proposed.First,the adaptive parameter-tuning stochastic resonance is used to match the optimal system parameters for noisy signals,and then the transient information is further extracted by Haar wavelet transform,which not only compensates for the shortcomings of the poor effect of using stochastic resonance alone and its easy divergence as a non-linear system,but also reduce the influence of the optimal scale of the wavelet.The simulation result shows that this method can improve the output peak and reduce the SNR threshold,which is suitable for the symbol rate estimation under low SNR.
张政, 马金全. 一种随机共振联合小波变换的符号速率估计方法[J]. 电子学报, 2019, 47(12): 2647-2652.
ZHANG Zheng, MA Jin-quan. A Symbol Rate Estimation Algorithm Based on Stochastic Resonance Combined with Wavelet Transform. Acta Electronica Sinica, 2019, 47(12): 2647-2652.
[1] KohB S,Lee H S.Detection of symbol rate of unknown digital communication signals[J].IEE Electronics Letters,1993,29(3):278-279.
[2] ChanY T,Plews J W,Ho K C.Symbol rate estimation by the wavelet transform[A].Proceedings of IEEE ISCAS' 97[C].Hong Kong:IEEE,1997.177-180.
[3] Güner A,Kaya I.Periodic variation method for blind symbol rate estimation[J].International Journal of Communication Systems,2015,27(12):4199-4209.
[4] 金艳,田田,姬红兵.基于稀疏贝叶斯学习的码元速率估计[J].电子与信息学报,2018,40(7):1598-1603. Jin Yan,Tian Tian,Ji Hong-bin.Symbol rate estimation based on sparse bayesian learning[J].Journal of Electronics & Information Technology,2018,40(7):1598-1603.(in Chinese)
[5] Liu M,Zhang J,Li B.Symbol rates estimation of time-frequency overlapped MPSK signals for underlay cognitive radio network[J].IEEE Access,2018,6(99):16216-16223.
[6] Collins J J,Chow C C,Capela A C,et al.Aperiodic stochastic resonance[J].Physical Review E,1996,54(5):5575-5584.
[7] Xu B,Duan F,Bao R,et al.Stochastic resonance with tuning system parameters:the application of bistable systems in signal processing[J].Chaos Solitons & Fractals,2002,13(4):633-644.
[8] Kihara R,Yamanashi Y,Yoshikawa N.Power reduction of josephson random access memory using stochastic resonance[J].IEEE Transactions on Applied Superconductivity,2016,26(8):1-4.
[9] 贺利芳,曹莉,张刚.基于幂函数型随机共振的微弱信号恢复[J].电子学报,2018,46(8):1906-1914. He Li-fang,Cao Li,Zhang Gang.Weak signal recovery based on power function stochastic resonance[J].Acta Electronica Sinica,2018,46(8):1906-1914.(in Chinese)
[10] Liu J et al.A Novel parameter-tuned stochastic resonator for binary PAM signal processing at Low SNR[J].IEEE Communications Letters,2014,18(3):427-430.
[11] 孔德阳,彭华,马金全.基于人工鱼群算法的自适应随机共振方法研究[J].电子学报,2017,45(8):1864-1872. Kong De-yang,Peng Hua,Ma Jin-quan.Adaptive stochastic resonance method based on artificial-fish swarm optimization[J].Acta Electronica Sinica,2017,45(8):1864-1872.(in Chinese)
[12] 孔德阳,彭华,马金全.随机共振应用于窄带PSK信号处理的研究[J].信号处理,2017,33(5):721-731. Kong De-yang,Peng Hua,Ma Jin-quan.Application of stochastic resonance in narrow-band PSK signal processing[J].Journal of Signal Processing,2017,33(5):721-731.(in Chinese)
[13] Han D,Li P,An S,et al.Multi-frequency weak signal detection based on wavelet transform and parameter compensation band-pass multi-stable stochastic resonance[J].Mechanical Systems & Signal Processing,2016,70-71:995-1010.
[14] 杨定新,胡政,杨拥民.大参数周期信号随机共振解析[J].物理学报,2012,61(8):080501. Yang Ding-xin,Hu Zheng,Yang Yong-min.The analysis of stochastic resonance of periodic signal with large parameters[J].Acta Physica Sinica,2012,61(8):080501-1-080501-10.(in Chinese)
[15] Ijaz A,Awoseyila A B,Evans B G.Signal-to-noise ratio estimation algorithm for advanced DVB-RCS systems[J].IEEE Transactions on Broadcasting,2012,58(4):603-608.
[16] 刘双平,闻翔,金梁.一种抑制符号速率估计背景色噪声的非线性滤波算法[J].电子学报,2007,35(1):95. Liu Shuang-ping,Wen Xiang,Jin Liang.A new nonlinear filtering algorithm for colored background self-noise suppressing of symbol rate estimation[J].Acta Electronica Sinica,2007,35(1):95.(in Chinese)
2019, Vol. 47 
