Alpha穩(wěn)定分布噪聲下基于柯西分布的相位鍵控信號(hào)碼速率最大似然估計(jì)
doi: 10.11999/JEIT141180
基金項(xiàng)目:
國(guó)家自然科學(xué)基金(61201286),陜西省自然科學(xué)基金(2014JM8304)和中央高?;究蒲袠I(yè)務(wù)費(fèi)專項(xiàng)資金(K5051202013)資助課題
Cauchy Distribution Based Maximum-likelihood Estimator for Symbol Rate of Phase Shift Keying Signals
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摘要: 針對(duì)現(xiàn)有的相位鍵控(PSK)編碼信號(hào)碼速率估計(jì)方法在Alpha穩(wěn)定分布中性能嚴(yán)重退化的問題,該文提出一種基于柯西分布的碼速率最大似然估計(jì)(CMLE)新方法,該方法可同時(shí)估計(jì)碼速率與定時(shí)偏差。CMLE利用窗口法將信號(hào)劃分為定時(shí)偏差窗和多個(gè)寬度一定的非重疊且已同步的時(shí)域窗,每個(gè)窗只包含一個(gè)碼元符號(hào);在Alpha穩(wěn)定分布噪聲下,利用窗中符號(hào)信息構(gòu)造了基于柯西分布的似然函數(shù),可同時(shí)獲得定時(shí)偏差窗寬與碼元符號(hào)窗寬的最大似然估計(jì)。仿真結(jié)果表明,該方法能有效抑制Alpha穩(wěn)定分布噪聲并具有良好的參數(shù)估計(jì)性能。
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關(guān)鍵詞:
- 信號(hào)處理 /
- Alpha穩(wěn)定分布 /
- 柯西分布 /
- 相位鍵控編碼信號(hào) /
- 碼速率 /
- 最大似然估計(jì)(MLE)
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. -
曾維貴, 孫迎豐, 胥輝旗, 等. 準(zhǔn)連續(xù)波體制雷達(dá)波形設(shè)計(jì)與參數(shù)選擇[J]. 系統(tǒng)工程與電子技術(shù), 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. 張?zhí)祢U, 楊柳飛, 代少升, 等. DS信號(hào)偽碼周期及碼片速率估計(jì)的自相關(guān)法[J]. 航天電子對(duì)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. 張籽兵, 李立萍, 肖先賜. MPSK信號(hào)的循環(huán)譜檢測(cè)及碼元速率估計(jì)[J]. 系統(tǒng)工程與電子技術(shù), 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. 金艷, 姬紅兵, 羅軍輝. 一種基于循環(huán)統(tǒng)計(jì)量的直擴(kuò)信號(hào)檢測(cè)與參數(shù)估計(jì)方法[J]. 電子學(xué)報(bào), 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. 相位編碼信號(hào)的參數(shù)估計(jì)[D]. [碩士論文], 西安電子科技大學(xué), 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. 張佳芬, 和小冬, 唐斌. 偽碼-線性調(diào)頻信號(hào)快速參數(shù)估計(jì)[J]. 電訊技術(shù), 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. 趙新明. Alpha穩(wěn)定分布噪聲下調(diào)頻信號(hào)參數(shù)估計(jì)研究[D]. [碩士論文], 西安電子科技大學(xué),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. 楊少兵, 吳命利. 基于廣義柯西分布的系統(tǒng)側(cè)諧波阻抗估計(jì)[J]. 中國(guó)電機(jī)工程學(xué)報(bào), 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. 趙新明, 金艷, 姬紅兵. 穩(wěn)定分布噪聲下基于Merid濾波的跳頻信號(hào)參數(shù)估計(jì)[J]. 電子與信息學(xué)報(bào), 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. -
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