Journal of Systems Engineering and Electronics ›› 2008, Vol. 19 ›› Issue (4): 672-678.

• ELECTRONICS TECHNOLOGY • Previous Articles     Next Articles

Periodic performance of the chaotic spread spectrum sequence on finite precision

Zhu Canyan1, Zhang Lihua2, Wang Yiming1, Liu Jiasheng1 & Mao Lingfeng1   

  1. 1. School of Electronic & Information Engineering, Soochow Univ., Suzhou 215021, P. R. China;
    2. School of Electronic and Electric Engineering, East China Jiaotong Univ., Nanchang 310013, P. R. China
  • Online:2008-08-21 Published:2010-01-03

Abstract:

It is well known that the periodic performance of spread spectrum sequence heavily affects the correlative and secure characteristics of communication systems. The chaotic binary sequence is paid more and more attention since it is one kind of applicable spread spectrum sequences. However, there are unavoidable short cyclic roblems for chaotic binary sequences in finite precision. The chaotic binary sequence generating methods are tudied first. Then the short cyclic behavior of the chaotic sequences is analyzed in detail, which are generated by quantification approaches with finite word-length. At the same time, a chaotic similar function is defined for presenting the cyclic characteristics of the sequences. Based on these efforts, an improved method with scrambling ontrol for generating chaotic binary sequences is proposed. To quantitatively describe the improvement of periodic performance of the sequences, an orthogonal estimator is also defined. Some simulating results are provided. From the theoretical deduction and the experimental results, it is concluded that the proposed method can effectively increase the period and raise the complexity of the chaotic sequences to some extent.