Title :
A new solution method for linear equation using the gradient method
Author :
Furukawa, Toshihiro ; Kubota, Hajime
Author_Institution :
Dept. of Manage. Eng., Fukuoka Inst. of Technol., Japan
Abstract :
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
Keywords :
adaptive estimation; adaptive filters; filtering theory; Gram-Schmidt orthogonalization procedure; adjustment vectors; block adaptive algorithm; convergence speed; gradient method; linear equation; one-dimension subspace; optimum coefficient vector; orthogonal bases; orthogonal projection arithmetic; Adaptive algorithm; Adaptive filters; Arithmetic; Convergence; Equations; Gradient methods; Least squares approximation; Paper technology; Resonance light scattering; Vectors;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.394207
