|Table of Contents|

[1] Jiang Yanxiang, You Xiaohu, Gao Xiqi,. Polynomial rooting based frequency offset estimationfor MIMO OFDM systems [J]. Journal of Southeast University (English Edition), 2008, 24 (4): 397-401. [doi:10.3969/j.issn.1003-7985.2008.04.001]
Copy

Polynomial rooting based frequency offset estimationfor MIMO OFDM systems()
MIMO OFDM系统中基于多项式求根的频偏估计算法
Share:

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
24
Issue:
2008 4
Page:
397-401
Research Field:
Information and Communication Engineering
Publishing date:
2008-12-30

Info

Title:
Polynomial rooting based frequency offset estimationfor MIMO OFDM systems
MIMO OFDM系统中基于多项式求根的频偏估计算法
Author(s):
Jiang Yanxiang, You Xiaohu, Gao Xiqi
National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China
蒋雁翔, 尤肖虎, 高西奇
东南大学移动通信国家重点实验室, 南京 210096
Keywords:
MIMO OFDM frequency selective fading channels frequency offset estimation polynomial rooting
多输入多输出正交频分复用 频率选择性衰落信道 频偏估计 多项式求根
PACS:
TN91
DOI:
10.3969/j.issn.1003-7985.2008.04.001
Abstract:
Based on the frequency domain training sequences, the polynomial-based carrier frequency offset(CFO)estimation in multiple-input multiple-output(MIMO)orthogonal frequency division multiplexing(OFDM)systems is extensively investigated.By designing the training sequences to meet certain conditions and exploiting the Hermitian and real symmetric properties of the corresponding matrices, it is found that the roots of the polynomials corresponding to the cost functions are pairwise and that both integer CFO and fractional CFO can be estimated by the direct polynomial rooting approach.By analyzing the polynomials corresponding to the cost functions and their derivatives, it is shown that they have a common polynomial factor and the former can be expressed in a quadratic form of the common polynomial factor.Analytical results further reveal that the derivative polynomial rooting approach is equivalent to the direct one in estimation at the same signal-to-noise ratio(SNR)value and that the latter is superior to the former in complexity.Simulation results agree well with analytical results.
基于频域训练序列, 深入地分析了MIMO-OFDM系统中基于多项式建模的频偏估计问题.设计训练序列使其结构满足适当的条件, 根据相应矩阵的厄尔密特属性和实对称属性, 分析出代价函数多项式方程根的成对性, 进而提出整数频偏与小数频偏可同时通过直接多项式求根方法估计出来.分析了导数多项式求根方法与直接多项式求根方法, 研究出代价函数多项式与其导数多项式具有公共的多项式因子, 且代价函数多项式可以表示成该公共多项式因子的二次型, 并进一步揭示出二者在估计上的等效性以及后者在实现上的优越性.计算机仿真结果验证了该理论分析结果.

References:

[1] Moose P.A technique for orthogonal frequency division mu-ltiplexing frequency offset correction [J].IEEE Trans Commun, 1994, 42(10):2908-2914.
[2] Schmidl T M, Cox D C.Robust frequency and timing synchronization for OFDM [J].IEEE Trans Commun, 1997, 45(12):1613-1621.
[3] Morelli M, Mengali U.An improved frequency offset estimator for OFDM applications [J].IEEE Commun Lett, 1999, 3(3):75-77.
[4] Minn H, Bhargava V K, Letaief K B.A robust timing and frequency synchronization for OFDM systems [J].IEEE Trans Wireless Commun, 2003, 2(4):822-839.
[5] Besson O, Stoica P.On parameter estimation of MIMO flat-fading channels with frequency offsets [J].IEEE Trans Signal Processing, 2003, 51(3):602-613.
[6] Ma X, Oh M K, Giannakis G B, et al.Hopping pilots for estimation of frequency-offset and multi-antenna channels in MIMO OFDM [J].IEEE Trans Commun, 2005, 53(1):162-172.
[7] Simoens F, Moeneclaey M.Reduced complexity data-aided and code-aided frequency offset estimation for flat-fading MIMO channels [J].IEEE Trans Wireless Commun, 2006, 5(6):1558-1567.
[8] Jiang Y X, Gao X Q, You X H, et al.Training sequence assisted frequency offset estimation for MIMO OFDM [C]//Proc of IEEE ICC’06. Turkey, Istanbul, 2006:5371-5376.
[9] Jiang Y X, Minn H, Gao X Q, et al.Frequency offset estimation and training sequence design for MIMO OFDM [J].IEEE Trans Wireless Commun, 2008, 7(4):1244-1254.
[10] Gao F, Nallanathan A.Blind maximum likelihood CFO estimation for OFDM systems via polynomial rooting [J].IEEE Signal Processing Lett, 2006, 13(2):73-76.
[11] Chu D.Polyphase codes with good periodic correlation properties [J].IEEE Trans Inform Theory, 1972, 18(4):531-532.
[12] Golub G H, Van Loan C F.Matrix computations [M].The John Hopkins University Press, 1996.
[13] Press W H.Numerical recipes in C++:the art of scientific computing [M].Cambridge:Cambridge University Press, 2002.
[14] Gini F, Reggiannini R.On the use of Cramer-Rao-like bounds in the presence of random nuisance parameters [J].IEEE Trans Commun, 2000, 48(12):2120-2126.
[15] Kay S M.Fundamentals of statistical signal processing:estimation theory [M].Prentical-Hall, 1993.

Memo

Memo:
Biographies: Jiang Yanxiang(1977—), male, doctor, lecturer, yxjiang@seu.edu.cn;You Xiaohu(1962—), male, doctor, professor, xhyu@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.60702028), the National High Technology Research and Development Program of China(863 Program)(No.2007AA01Z268).
Citation: Jiang Yanxiang, You Xiaohu, Gao Xiqi.Polynomial rooting based frequency offset estimation for MIMO OFDM systems[J].Journal of Southeast University(English Edition), 2008, 24(4):397-401.
Last Update: 2008-12-20