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Optimized Local Trigonometric Bases with Nonuniform Partitions

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Abstract

The authors provide optimized local trigonometric bases with nonuniform partitions which efficiently compress trigonometric functions. Numerical examples demonstrate that in many cases the proposed bases provide better compression than the optimized bases with uniform partitions obtained by Matviyenko.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China

    Qiao Fang Lian

  2. Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China

    Yong Ge Wang

  3. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China

    Yong Ge Wang

  4. School of Information Science and Engineering, the Graduate School of the Chinese Academy of Sciences, Beijing 100039, P. R. China

    Dun Yan Yan

Authors
  1. Qiao Fang Lian
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  2. Yong Ge Wang
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  3. Dun Yan Yan
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Corresponding author

Correspondence to Dun Yan Yan.

Additional information

Supported by the National Natural Science Foundation of China (No. 10371122), and the second author is supported by Tianyuan Fund for Mathematics (No. A0324648)

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Lian, Q.F., Wang, Y.G. & Yan, D.Y. Optimized Local Trigonometric Bases with Nonuniform Partitions. Acta Math Sinica 22, 1069–1084 (2006). https://doi.org/10.1007/s10114-005-0647-9

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  • DOI: https://doi.org/10.1007/s10114-005-0647-9

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