Cauchy Distribution Based Maximum-likelihood Estimator for Symbol Rate of Phase Shift Keying Signals

Jin Yan; Zhu Min; Ji Hong-bing

doi:10.11999/JEIT141180

Volume 37 Issue 6

Jun. 2015

Turn off MathJax

Article Contents

Article Navigation > Journal of Electronics & Information Technology > 2015 > 37(6): 1323-1329

Jin Yan, Zhu Min, Ji Hong-bing. Cauchy Distribution Based Maximum-likelihood Estimator for Symbol Rate of Phase Shift Keying Signals[J]. Journal of Electronics & Information Technology, 2015, 37(6): 1323-1329. doi: 10.11999/JEIT141180

Citation:

Jin Yan, Zhu Min, Ji Hong-bing. Cauchy Distribution Based Maximum-likelihood Estimator for Symbol Rate of Phase Shift Keying Signals[J]. Journal of Electronics & Information Technology, 2015, 37(6): 1323-1329. doi: 10.11999/JEIT141180

Citation:

PDF( 474 KB)

Cauchy Distribution Based Maximum-likelihood Estimator for Symbol Rate of Phase Shift Keying Signals

doi: 10.11999/JEIT141180

Received Date: 2014-09-10
Rev Recd Date: 2014-12-25
Publish Date: 2015-06-19

Abstract

Abstract

In order to solve the problem that the performance of existing algorithms for the symbol rate estimation of Phase Shift Keying (PSK) signals will significantly degrade in the Alpha stable noise environment, a novel Cauchy distribution based Maximum-Likelihood Estimator (CMLE) method for symbol rate of PSK signals is proposed. The parameters of the timing offset and the symbol rate can be estimated simultaneously through this method. The windowed procedure is utilized in the CMLE and the noise polluted PSK signal is divided into a timing offset window and the multiple windows with certain width which are non-overlapping and synchronized in the time domain, and only one code symbol is contained in each window; in the Alpha stable noise environment, the symbol in the window is utilized and a likelihood function based on Cauchy distribution is built, then the maximum-likelihood estimation of window width for the timing offset and the symbol rate can be achieved simultaneously. The simulation results show that the proposed method can suppress the Alpha stable noise efficiently and offer superior parameter estimation performance.
- Signal processing,
- Alpha-stable distribution,
- Cauchy distribution,
- Phase Shift Keying (PSK) signals,
- Symbol rate,
- Maximum-Likelihood Estimator (MLE)

FullText(HTML)

References(25)

References

曾维贵, 孙迎丰, 胥辉旗, 等. 准连续波体制雷达波形设计与参数选择[J]. 系统工程与电子技术, 2013, 35(3): 517-521.

Zeng Wei-gui, Sun Ying-feng, Xu Hui-qi, et al.. Waveform design and parameter calculation for quasi-continuous wave radar system[J]. System Engineering and Electronics, 2013, 35(3): 517-521.

Tsakalides P and Nikias C L. Maximum likelihood localization of sources in noise modeled as a stable process[J]. IEEE Transactions on Signal Processing, 1995, 43(11): 2700-2713.

Pelekanakis K and Chitre M. Adaptive sparse channel estimation under symmetric alpha-stable noise[J]. IEEE Transactions on Signal Wireless Communications, 2014, 13(6): 3183-3195.

Francois-Xavier S, Dominique P, and Mathieu D. On symmetric alpha-stable noise after short-time Fourier transform[J]. IEEE Signal Processing Letters, 2013, 20(5): 455-458.

张天骐, 杨柳飞, 代少升, 等. DS信号伪码周期及码片速率估计的自相关法[J]. 航天电子对抗, 2007, 23(4): 53-57.

Liu Tian-qi, Yang Liu-fei, Dai Shao-sheng, et al.. Estimation of period and chip rate of pseudo-noise sequence for direct sequence spread spectrum signals using correlation techniques[J]. Aerospace Electronic Warfare, 2007, 23(4): 53-57.

张籽兵, 李立萍, 肖先赐. MPSK信号的循环谱检测及码元速率估计[J]. 系统工程与电子技术, 2005, 27(5): 804-806.

Zhang Zi-bing, Li Li-ping, and Xiao Xian-ci. Detection and chip rate estimation of MPSK signals based on cyclic spectrum density[J]. System Engineering and Electronics, 2005, 27(5): 804-806.

金艳, 姬红兵, 罗军辉. 一种基于循环统计量的直扩信号检测与参数估计方法[J]. 电子学报, 2006, 34(4): 634-637.

Jin Yan, Ji Hong-bing, and Luo Jun-hui. A cyclic-cumulant based method for DS-SS signal detection and parameter estimation[J]. Acta Electronica Sinica, 2006, 34(4): 634-637.

付琴琴. 相位编码信号的参数估计[D]. [硕士论文], 西安电子科技大学, 2012: 39-41.

Fu Qin-qin. Parameter estimation of phase-coded signals[D]. [Master dissertation], Xidian University, 2012: 39-41.

Wang Long, Zhang Geng-xin, Bian Dong-ming, et al.. Blind symbol rate estimation of satellite communication signal by Haar wavelet transform[J]. Journal of Electronics (China), 2011, 28(2): 199-203.

Carlos M, Sandro S, and Lopez-Valcarce R, Non-data-aided symbol rate estimation of linearly modulated signals[J]. IEEE Transactions on Signal Processing, 2008, 56(2): 664-674.

张佳芬, 和小冬, 唐斌. 伪码-线性调频信号快速参数估计[J]. 电讯技术, 2009, 49(12): 100-103.

Zhang Jia-fen, He Xiao-dong, and Tang Bin. A fast parameter estimation approach for multiplicative signal combined PRBC and LFM[J]. Telecommunication Engineering, 2009, 49(12): 100-103.

赵新明. Alpha稳定分布噪声下调频信号参数估计研究[D]. [硕士论文], 西安电子科技大学，2014: 10-14.

Zhao Xin-ming. Research on parameter estimation of

frequency-hopping signals in alpha stable noise[D]. [Master dissertation], Xidian University, 2014: 10-14.

杨少兵, 吴命利. 基于广义柯西分布的系统侧谐波阻抗估计[J]. 中国电机工程学报, 2014, 34(7): 1159-1166.

Yang Shao-bing and Wu Ming-li. An assessment method of power system harmonic impedance based on generalized Cauchy distribution[J]. Proceedings of Chinese Society for Electrical Engineering. 2014, 34(7): 1159-1166.

Gonzalez J G and Arce G R. Optimality of the myriad filter in practical impulsive-noise environments[J]. IEEE Transactions on Signal Processing, 2001, 49(2): 438-441.

赵新明, 金艳, 姬红兵. 稳定分布噪声下基于Merid滤波的跳频信号参数估计[J]. 电子与信息学报, 2014, 36(8): 1878-1883.

Zhao Xin-ming, Jin Yan, and Ji Hong-bing. Parameter estimation of frequency-hopping signals based on Merid filter in stable noise environment[J]. Journal of Electronics Information Technology, 2014, 36(8): 1878-1883.

Relative Articles

Supplements(0)

Cited By

Proportional views