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A new solution method for linear equation using the gradient method

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2 Author(s)
Furukawa, T. ; Dept. of Manage. Eng., Fukuoka Inst. of Technol., Japan ; Kubota, H.

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

Published in:

Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on

Date of Conference:

3-6 May 1993

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