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Volume 27 Issue 1
Jan.  2001
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Journal of Beijing University of Aeronautics and Astronautics  > 2001  >  27(1): 112-116.
Liu Xi, ong, Deng Zhidanget al. Research on the method of simulating road roughness numerically[J]. Journal of Beijing University of Aeronautics and Astronautics, 2003, 29(9): 843-846. (in Chinese)
Citation: YAN Shou-feng, LIU Zhong-kan, MAO Shi-yiet al. A New Associative Memory System via Tchebycheff Interpolation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2001, 27(1): 112-116. (in Chinese)
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A New Associative Memory System via Tchebycheff Interpolation

  • 1.

    Beijing University of Aeronautics and Astronautics, School of Science

  • 2. Beijing University of Aeronautics and Astronautics, Dept. of Electronic Engineering

  • Received Date: 03 Sep 1999
  • Publish Date: 31 Jan 2001
    Abstract
  • A new high-order associative memory system via Tchebycheff interpolation is proposed. It offers the error-free approximation to multi-variable polynomial functions with arbitrarily given order. Tchebycheff interpolation nears to the best uniform approximation, this ensures theoretically the approximation precision as a whole to multi-variable continuous functions with arbitrarily given order. Particularly, comparing with other AMS, it also has distinctive advantage in approximation to some discontinuous functions such as rectangular pulse function. Theoretic analysis and numerical simulations have shown that the proposed TI-AMS has the advantages in much less computational, high-precision of learning, fast convergence rate and much less required whole memory size. It has great potential in the application areas of picture compression, pattern recognition, and controller implementation for high-precision real-time intelligent control.

     

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  • [1] 焦李成. 神经网络系统理论[M]. 西安:西安电子科技大学出版社,1995.34~36. [2] Albus J S. A new approach to manipulator control:the cerebellar model articulation controller (CMAC)[J]. J Dynamics System, Measurement & control, Trans ASME Series G, 1975,97(3):220~227. [3] Xu NingShou, Bai YunFei. A new content-addressing mechanism in associative memories for reducing the required memory size[J]. Research on Complex Systems Problems, 1992. [4] Xu NingShou, Bai YunFei. Improving approximation capabilities of associative memories via sharp-angled hat spline functions[J]. Research on Complex Systems Problems, 1994(3):265~290. [5] 邢春峰,柳重堪,徐宁寿. 一种新的联想记忆系统及其学习收敛性[J].北京:北京航空航天大学学报,1998,24(1):95~99. [6] Hama H, Xing C, Liu Z. New high-order associative memory system based on newton-s forward interpolation[J]. IEICE Trans on FECCS, 1998,E81-A(12):2688~2693. [7] 切尼 E W.逼近论导引[M].上海:上海科学技术出版社,1981.154~155.
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