A new solution method for linear equation using the gradient method

The authors present a new block adaptive algorithm. This algorithm is based on the gradient method, orthogonal projection arithmetic onto one-dimension subspace and the Gram-Schmidt orthogonalization procedure. The adjustment vectors are generated as the linear combination of some orthogonal bases derived from the input vectors in the adaptive filter. Therefore, when a complete orthogonal vector set is generated, the proposed algorithm can estimate an optimum coefficient vector within a block. The characteristics of the proposed algorithm are described. Computer simulation results show that the proposed algorithm has a stable performance and fast convergence speed.<
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