Joint Estimation of Channel Impulse Response and Carrier Frequency Offset for OFDM Systems

In this paper, an order recursive method is proposed to solve the joint estimation of channel impulse response (CIR) and carrier frequency offset (CFO) for orthogonal frequency-division multiplexing (OFDM) transmission. As long as one can obtain the solution for
Q
th-order Taylor expansion, the solution for (
Q
+ 1)th order can also be obtained via a simple recursive relation. The proposed recursive algorithm actually provides a method to handle any
Q
th-order Taylor expansion, instead of just the second order adopted in the technical literature. Significant improvement can be observed by adopting higher order approximation. Analytical mean-square-error (MSE) performance results are given, demonstrating the efficiency of the proposed algorithm.