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Asymptotics in addition of pseudo-random sequences

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Abstract

The performance of individual pseudo-random sequence, generated by some mechanism, is often not ideal. The asymptotic performance of the addition (in the sense (mod ρ)) of a large number of such individual sequences is studied and the necessary and sufficient condition under which the resulting sequence may converge to genuine randomness is obtained.

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Authors and Affiliations

  1. Department of Mathematics, Graduate School, University of Science and Technology of China, 100039, Beijing, China

    Xiru Chen

  2. Institute of Applied Mathematics, Chinese Academy of Sciences, 100080, Beijing, China

    Kaitai Fang

  3. Department of Mathematics, Nankai University, 300071, Tianjin, China

    Runchu Zhang

  4. Institute of Applied Mathematics, Chinese Academy of Sciences, 100080, Beijing, China

    Lixing Zhu

Authors
  1. Xiru Chen
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  2. Kaitai Fang
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  3. Runchu Zhang
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  4. Lixing Zhu
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Additional information

Project supported by the National Natural Science Foundation of China, the UPGC of Hong Kong, Hong Kong Baptist University and SRCU.

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Chen, X., Fang, K., Zhang, R. et al. Asymptotics in addition of pseudo-random sequences. Sci. China Ser. A-Math. 40, 612–621 (1997). https://doi.org/10.1007/BF02876065

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  • DOI: https://doi.org/10.1007/BF02876065

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