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This paper addresses carrier frequency offset (CFO) estimation and trainingsequence design for multiple-input multiple-output (MIMO) orthogonal frequencydivision multiplexing (OFDM) systems over frequency selective fading channels.By exploiting the orthogonality of the training sequences in the frequencydomain, integer CFO (ICFO) is estimated. {With the uniformly spaced non-zeropilots in the training sequences} and the corresponding geometric mapping,fractional CFO (FCFO) is estimated through the roots of a real polynomial.Furthermore, the condition for the training sequences to guarantee estimationidentifiability is developed. Through the analysis of the correlation propertyof the training sequences, two types of sub-optimal training sequencesgenerated from the Chu sequence are constructed. Simulation results verify thegood performance of the CFO estimator assisted by the proposed trainingsequences.

Frequency Offset Estimation and Training Sequence Design for MIMO OFDM