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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.
Based on the training sequence in frequency domain, the frequency offset estimation problem based on polynomial modeling in MIMO-OFDM system is analyzed in depth.The training sequence is designed so that its structure satisfies the appropriate conditions.According to the Earmite property and the real symmetry property of the corresponding matrix, The pairwiseness of roots of the polynomial equation of cost function is analyzed, and then the integer frequency offset and fractional frequency offset can be estimated simultaneously by the direct polynomial method. The method of derivation of derivative polynomials and the direct polynomial method are analyzed, and the cost function The polynomial and its derivative polynomial have a common polynomial factor, and the cost function polynomial can be expressed as a quadratic form of the common polynomial factor, further revealing the equivalence of the two in estimation and the latter’s superiority in implementation. Simulation results verify the theoretical analysis.