Fast Kalman/LMS algorithms on the strong multipath channel

We present a decision feedback equalizer (DFE) based on the proposed hybrid structure, which consists of the fast Kalman and LMS algorithm, to guarantee the fast convergence speed, computational complexity and numerical stability on the strong multipath channels. The LMS algorithm recommended by ATSC for HDTV does not guarantee TOV (threshold of visibility) on the strong multipath channels during the training period. Since the fast Kalman algorithm is not only numerically unstable but it also has high computational complexity, we proposed a hybrid structure to solve both of these problems. The fast Kalman algorithm is applied during the training sequence for the fast convergence, and then LMS algorithm is used to reduce the computational complexity and avoid the instability problem for the payload data part. The simulation results demonstrate that our hybrid structure is numerically stable with fast convergence speed and it overcomes the strong multipath channel.