宽带双基地MIMO雷达的参数联合估计的新方法

doi:10.3969/j.issn.1000-436x.2014.06.025

摘要/Abstract

摘要：

提出了一种基于分数阶功率谱的宽带双基地MIMO雷达中参数联合估计的新方法。在许多情况下，根据窄带信号模型对宽带回波信号中的参数进行估计是不合适的，因此提出一个新的宽带回波信号模型对运动目标参数进行估计。根据分数阶功率谱(FPSD)的峰值点对多普勒频移因子和时延参数进行联合估计，并依据分数阶功率谱的峰值点构造2个子阵，提出的FPSD-MUSIC算法和FPSD-ESPRIT算法实现了对收发角的联合估计。接下来推导了该信号模型中参数估计的克拉美罗界。仿真实验验证了算法的有效性。

关键词: 宽带双基地MIMO雷达, 分数阶功率谱, 参数估计, FPSD-MUSIC算法, FPSD-ESPRIT算法, 克拉美罗界

Abstract:

A novel algorithm to jointly estimate parameters based on the fractional power spectrum density (FPSD) was proposed in wideband bistatic MIMO radar system. In many applications, it is not appropriate to approximate the wide-band signal by the narrowband model, so a novel wideband signal model was proposed to accurately estimate parameters of moving targets. Doppler stretch and time delay are estimated by searching the peak of the fractional power spectrum density (FPSD). Two subarrays are constructed based on the peak of the FPSD. Both direction of departures (DOD) and direction of arrivals (DOA) of the multiple targets are jointly estimated by employing the FPSD-MUSIC algorithm and FPSD-ESPRIT algorithm. Furthermore, the cramér-rao bound (CRB) for target parameters estimation of wideband signal model was derived. Simulation results are presented to verify the effectiveness of the proposed method.

Key words: wideband bistatic MIMO radar, fractional power spectrum density (FPSD), parameter estimation, FPSD-MUSIC algorithm, FPSD-ESPRIT algorithm, CRB

李丽,邱天爽. 宽带双基地MIMO雷达的参数联合估计的新方法[J]. 通信学报, 2014, 35(6): 192-199.

Li LI,Tian-shuang QIU. Novel method for joint parameter estimation based on FPSD in wideband bistatic MIMO radar system[J]. Journal on Communications, 2014, 35(6): 192-199.

图/表 5

参考文献 18

[1]	FISHLER E , HAIMOVICH A , BLU M , et al. Spatial diversity in radars models and detection performance[J]. IEEE Transactions on Signal Processing, 2006,54(3): 823-838.
[2]	STOICA P , LI J , XIE Y . On probing signal design for MIMO radar[J]. IEEE Transactions on Signal Processing, 2007,55(8): 4151-4161.
[3]	BENCHEIKH M L , WANG Y D , HE H Y . A subspace-based tech-nique for joint DOA-DOD estimation in bistatic MIMO radar[A]. Proc 11th International Radar Symposium (IRS)[C]. Vilnius, Lithuania, 2010.1-4.
[4]	CHEN D F , CHEN J , XIE Y . On probing signal design for MIMO radar[J]. IEEE Transactions on Signal Processing, 2007,55(8): 4151-4161.
[5]	程院兵，顾红，苏卫民 . 基于联合矩阵对角化的双基地MIMO雷达DOD-DOA估计[J]. 电子与信息学报， 2012,34(4): 904-909. CHENG Y B , GU H , SU W M . DOD-DOA estimation using joint ma-trix diagonalization in bistatic MIMO radar[J]. Journal of Electronics＆Information Technology, 2012,34(4): 904-909.
[6]	吴跃波，郑志东杨景曙 . 一种新的双基地 MIMO 雷达收发角和多普勒频率联合估计方法[J]. 电子与信息学报， 2011,33(8): 1816-1821. WU Y B , ZHENG Z D , YANG J S . A new method for DOA-DOD and doppler frequency jointly estimating of bistatic MIMO radar[J]. Jour-nal of Electronics ＆Information Technology, 2011,33(8): 1816-1821.
[7]	郑志东，王挺，张剑云等. 基于块Hankel矩阵构造的双基地MIMO雷达相干多目标定位[J]. 电子与信息学报， 2012,34(5): 1082-1087. ZHENG Z D , WANG T , ZHANG J Y , et al. Coherent multi-target lo-calization for bistatic MIMO radar based on block Hankel matrix con-struction[J]. Journal of Electronics＆Information Technology, 2012,34(5): 1082-1087.
[8]	符渭波，苏涛，赵永波等. 空间色噪声环境下双基地MIMO雷达角度和多普勒频率联合估计方法[J]. 电子与信息学报， 2011,33(12): 2858-2862. FU W B , SU T , ZHAO Y B , et al. Joint estimation of angle and Dop-pler frequency for bistatic MIMO radar in spatial colored noise[J]. Journal of Electronics＆ Information Technology, 2011,33(12): 2858-2862.
[9]	张剑云，郑志东，李小波 . 双基地MIMO雷达收发角及多普勒频率的联合估计算法[J]. 电子与信息学报， 2010,32(8): 1843-1848. ZHANG J Y , ZHENG Z D , LI X B . An algorithm for DOD-DOA and doppler frequency jointly estimating of bistatic MIMO radar[J]. Jour-nal of Electronics＆ Information Technology, 2010,32(8): 1843-1848.
[10]	WEISS L G . Wavelets and wideband correlation processing[J]. IEEE Transactions on Signal Processing, 1994,11(1):13-32.
[11]	QU J , KON M W , LUO Z Q . The estimation of time delay and Dop-pler stretch of wideband signals[J]. IEEE Transactions on Signal Processing, 1995,43(4):904-916.
[12]	MA N , GOH J T . Ambiguity-function-based techniques to estimate DOA of broadband chirp signals[J]. IEEE Transactions on Signal Processing, 2006,54(5):1826-1839.
[13]	CHEN H W , ZHAO J W . Wideband MVDR beamforming for acoustic vector sensor linear array[J]. IEEE Proceedings of Radar, Sonar and Navigation, 2004,151(3):158-162.
[14]	陶然，邓兵，王越 . 分数阶傅里叶变换及其应用[M]. 北京：清华大学出版社， 2009. TAO R , DENG B , WANG Y . Fractional Fourier Transform and Its Ap-plication[M]. Beijing: Tsinghua University Press, 2009.
[15]	GERSHMAN A B , PESAVENTO M , AMIN M G . Estimating parame-ters of multiple wideband polynomial-phase sources in sensor ar-rays[J]. IEEE Transactions on Signal Processing, 2011,49(12):2924-2934.
[16]	SWINDLEHURST A L , STOICA P . Maximum likelihood methods in radar array signal processing[J]. Proceedings of the IEEE, 1998,86(2):421-441.
[17]	BAI L , YIN Q Y . CRB for carrier frequency offset estimation with pilot and virtual subcarriers. IEEE Communications Letters, 2012,16(4):522-525.
[18]	BEKKERMAN I , TABRIKIAN J . Target detection and localization using MIMO radars and sonars. IEEE Transactions on Signal Processing, 2006,54(10):3873-3883.