伪码-线性调频复合信号参数估计理论性能分析

王佩; 祝俊; 唐斌

doi:10.11999/JEIT150523

伪码-线性调频复合信号参数估计理论性能分析

doi: 10.11999/JEIT150523

王佩¹,
祝俊¹,
唐斌¹

基金项目:

国家自然科学基金(61172116)

计量
- 文章访问数: 1182
- HTML全文浏览量: 252
- PDF下载量: 326
- 被引次数: 0
出版历程
- 收稿日期: 2015-05-06
- 修回日期: 2015-10-09
- 刊出日期: 2016-02-19

Theoretical Performance Analysis for Parameter Estimation of Hybrid Modulated Signal Combining Pseudo-random Binary-phase Code and Linear Frequency Modulation

Funds:

The National Natural Science Foundation of China (61172116)

摘要

摘要: 针对伪码-线性调频复合信号参数估计的理论性能评价问题，该文分析了分步估计方法对参数估计的影响，给出了较高信噪比时分步估计方法的理论近似性能；推导了高斯白噪声环境中伪码-线性调频信号参数无偏估计的修正克拉美-罗下限(MCRLB)的解析表达式。利用伪码序列的统计特征推导出起始频率、调制斜率、初始相位及码元宽度参数联合估计的修正Fisher信息矩阵，从而得到各参数估计的MCRLB。对结果进行了对比分析，并通过数值仿真实验，证明了该理论下限的有效性。
- 参数估计 /
- 伪码-线性调频复合信号 /
- 分步估计法 /
- 修正克拉美-罗限
Abstract: According to the theoretical performance for parameter estimators of a signal combined Pseudo-Random Binary-phase Code (PRBC) and Linear Frequency Modulation (LFM), this paper analyzes the impact of step-by- step method on the signal estimation problem and gives the analytical expressions of Modified Cramer-Rao Lower Bound (MCRLB) for parameter estimation of PRBC-LFM signal in white Gaussian noise. Using the statistical characteristics of PRBCs, the Fishers information matrix is derived for parameters including initial frequency, chirp rate, initial phase and code width. The MCRLBs are therefore calculated. The MCRLBs are analyzed by comparison and the validity is demonstrated by numerical simulation experiments.

HTML全文

参考文献(28)

LYNCH David Jr. Introduction to RF Stealth[M]. Releigh, NC: SciTech Publishing, 2004: 336-343.

NGWAR M and WIGHT J. Phase coded linear frequency modulated waveform for low cost marine radar system[C]. IEEE Radar Conference, Washington, DC, 2010: 1044-1049. doi: 10.1109/RADAR.2010.5494447.

RENSEAU J and ADHAMI Reza R. Phase-coded LFMCW waveform analysis for short range measurement applications [C]. IEEE Aerospace Conference, Big Sky, MT, 2014: 1-6. doi: ?10.1109/AERO.2014.6836285.

KOWATSCH M and LAFFERI T J. A spread-spectrum concept combining chirp modulation and pseudo-noise coding [J]. IEEE Transactions on Communications, 1983, 31(10): 1133-1142. doi: 10.1109/TCOM.1983.1095745.

周新刚, 赵惠昌, 刘风格, 等. 伪码调相与线性调频复合调制引信[J]. 宇航学报, 2008, 29(3): 1026-1030. doi: 10.3873/ j.issn.1000-1328.2008.03.055.

ZHOU Xingang, ZHAO Huichang, LIU Fengge, et al. Pseudo- random code binary phase modulation combined with linear frequency modulation fuze[J]. Journal of Astronautics, 2008, 29(3): 1026-1030. doi: 10.3873/j.issn.1000-1328.2008.03.055.

熊刚, 杨小牛, 赵惠昌. 基于平滑伪Wigner分布的伪码与线性调频复合侦察信号参数估计[J]. 电子与信息学报, 2008, 30(9): 2115-2119. doi: ?10.3724/SP.J.1146.2007.00205.

XIONG Gang, YANG Xiaoniu, and ZHAO Huichang. Parameter estimation of reconnaissance signal combined PN and LFM based on smoothed pseudo Wigner distribution[J]. Journal of Electronics Information Technology, 2008, 30(9): 2115-2119. doi: ?10.3724/SP.J.1146.2007.00205.

曾德国, 熊辉, 龙柯宇, 等. 伪码-线性调频复合信号快速参数估计方法[J]. 系统工程与电子技术, 2010, 32(5): 891-894. doi: 10.3969/j.issn.1001-506X.2010.05.003.

ZENG Deguo, XIONG Hui, LONG Keyu, et al. Fast parameter estimation approach of reconnaissance signal combined PRBC and LFM[J]. Systems Engineering and Electronics, 2010, 32(5): 891-894. doi: 10.3969/j.issn. 1001-506X.2010.05.003.

薛妍妍, 刘渝. LFM-BPSK复合调制信号识别和参数估计[J]. 航天电子对抗, 2012, 28(1): 60-64. doi: 10.3969/j.issn. 1673-2421.2012.01.022.

XUE Yanyan and LIU Yu. The recognition and parameter estimation of LFM-BPSK[J]. Aerospace Electronic Warfare, 2012, 28(1): 60-64. doi: 10.3969/j.issn.1673-2421.2012.01.022.

刘勇, 张国毅, 胡鑫磊. 伪码-线性调频复合信号的参数估计[J]. 航天电子对抗, 2014, 30(4): 22-25. doi: 10.3969/j.issn. 1673-2421.2014.04.007.

LIU Yong, ZHANG Guoyi, and HU Xinlei. Parameter estimation of reconnaissance signal combined PN and LFM[J]. Aerospace Electronic Warfare, 2014, 30(4): 22-25. doi: 10.3969/j.issn.1673-2421.2014.04.007.

崔伟亮, 江桦, 李剑强, 等. 改进的循环谱估计快速算法与性能分析[J]. 电子与信息学报, 2011, 33(7): 1594-1599. doi: 10.3724/SP.J.1146.2010.01170.

CUI Weiliang, JIANG Hua, LI Jiangqiang, et al. Improved fast cyclic spectral estimation algorithm and performance analysis[J]. Journal of Electronics Information Technology, 2011, 33(7): 1594-1599. doi: 10.3724/SP.J.1146.2010.01170.

马秀荣, 曹多. 基于功率谱离散余弦变换的BPSK信号参数估值[J]. 电子与信息学报, 2014, 36(9): 2075-2080. doi: 10.3724/SP.J.1146.2013.01756.

MA Xiurong and CAO Duo. Parameters estimation of BPSK signals based on power spectral DCT[J]. Journal of Electronics Information Technology, 2014, 36(9): 2075-2080. doi: 10.3724/SP.J.1146.2013.01756.

DANDREAA N, MENGALI U, and REGGIANINI R. The modified Cramer-Rao bound and its application to synchronization problems[J]. IEEE Transactions on Communications, 1994, 42(2/3/4): 1391-1399. doi: 10.1109/ TCOMM.1994.580247.

GINI F, REGGIANINI R, and MENGALI U. The modified Cramer-Rao bound in vector parameter estimation[J]. IEEE Transactions on Communications, 1998, 46(1): 52-60. doi: 10.1109/26.655403.

邓振淼, 刘渝. 相位编码信号码元宽度估计的修正克拉美-罗限[J]. 通信学报, 2009, 30(9): 117-121. doi: 10.3321/j.issn: 1000-436X.2009.09.017.

DENG Zhenmiao and LIU Yu. Modified Cramer-Rao lower bound for symbol width estimation from a phase-shift-keying signal[J]. Journal on Communications, 2009, 30(9): 117-121. doi: 10.3321/j.issn:1000-436X.2009.09.017.

POLLOK A and MCKILLIAM R. Modified Cramr-Rao bounds for continuous-phase modulated signals[J]. IEEE Transactions on Communications, 2014, 62(5): 1681-1690. doi: 10.1109/TCOMM.2014.030814.130804.

GOGINENI S, RANGASWAMY M, RIGILING D, et al. Cramr-Rao bounds for UMTS-based passive multistatic radar[J]. IEEE Transactions on Signal Processing, 2014, 62(1): 95-106. doi: 10.1109/TSP.2013.2284758.

WANG Pei, DU Dongping, QIU Zhaoyang, et al. Modified Cramer-Rao bounds for parameter estimation of hybrid modulated signal combining PRBC and LFM[C]. IEEE 17th International Conference on Computational Science and Engineering (CSE), Chengdu, 2014: 1029-1033. doi: 10.1109/ CSE.2014.204.

LIUBISA S, MILOS D, and THAYANANTHAN T. Time- frequency Signal Analysis with Applications[M]. Norwood, MA: Artech House, 2013: 428-428.

熊竹林, 刘策伦, 安建平. 一种低复杂度线性调频信号参数估计算法[J]. 电子与信息学报, 2015, 37(2): 489-493. doi: 10.11999/JEIT140166.

XIONG Zhulin, LIU Celun, and AN Jianping. A low complexity parameter estimation algorithm of LFM signals[J]. Journal of Electronics Information Technology, 2015, 37(2): 489-493. doi: 10.11999/JEIT140166.

施引文献

资源附件(0)

访问统计