Polynomial interpolation algorithm based on weighted generalized inverse matrix in OFDM channel estimation

For adopting single time-frequency chuck as pilot pattern. We prove that the optimal estimation cannot be achieved by polynomial interpolation using the standard inverse matrix, when there are less pilot symbols than the parameters of the polynomial model. For solving this problem, a generalized inverse matrix is defined from a weighting matrix which is constructed based on minimum variance criterion. A 2-D polynomial interpolation algorithm is then proposed based on this weighted generalized inverse matrix. Simulation result shows that the proposed algorithm can be applied to receivers with different velocities. Under moderate or low velocity in particular, this algorithm can achieve a BER gain of about 2 dB for large SNR compared with 1-D linear Interpolation algorithms.