Linear prediction based multipath channel identification algorithm

In digital communication systems, the pulse-shaping filter in the transmitter and the anti-aliasing filter in the receiver are often known. In this brief, this a priori knowledge is exploited to simplify the channel identification problem. The multipath identification problem is formulated as a homogeneous linear equation, in which a matrix is formed from the optimal linear predictor. Instead of solving directly the underlying linear equation, the estimate is obtained by finding the minor eigenvector of a matrix. The presented analysis shows that the performance of the proposed approach degrades significantly when the order is over estimated. An effective approach is then proposed to remove the redundant components in the estimated multipath channel vector. The obtained results show that the proposed approach is able to enhance the performance of the linear programming approach significantly when the order is over estimated.