| Admissibility Conditions for Symbolic Sequences in Dynamics of Digital Filter with Two＇s Complement Arithmetic |
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| 引用本文： | 袁利国,傅新楚,余荣忠.Admissibility Conditions for Symbolic Sequences in Dynamics of Digital Filter with Two＇s Complement Arithmetic[J].上海大学学报(英文版),2005,9(5):377-384. |
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| 作者姓名： | 袁利国 傅新楚 余荣忠 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R . China |
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| 基金项目： | Project supported by National Natural Science Foundation of China （ Grant No. 10471087）, and Shanghai Municipal Commission of Education （Grant No. 03AK33） |
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| 摘 要： | In this paper, we discuss a class of piecewise linear hyperbolic maps on the 2-torus. These maps arise in the second-order digital fdter with two＇ s complement arithmetic. By introducing codings underlying the map operations, we give some admissibility conditions for symbolic sequences and find some periodic properties of these symbolic sequences. Then we use these conditions to check the admissibility of periodic symbol sequences.
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| 关 键 词： | 数字滤波器 符号序列 补足算法 双曲线隐射 译码 周期性 |
| 文章编号： | 1007-6417（2005）05-0377-08 |
| 收稿时间： | 2004-02-25 |
| 修稿时间： | 2004-05-26 |
Admissibility conditions for symbolic sequences in dynamics of digital filter with two’s complement arithmetic |
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| Yuan?Li-guo,Fu?Xin-Chu,Yu?Rong-zhong.Admissibility conditions for symbolic sequences in dynamics of digital filter with two’s complement arithmetic[J].Journal of Shanghai University(English Edition),2005,9(5):377-384. |
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| Authors: | Yuan Li-guo Fu Xin-Chu Yu Rong-zhong |
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| Institution: | (1) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, P.R. China |
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| Abstract: | In this paper, we discuss a class of piecewise linear hyperbolic maps on the 2-torus. These maps arise in the second-order
digital filter with two’s complement arithmetic. By introducing codings underlying the map operations, we give some admissibility
conditions for symbolic sequences and find some periodic properties of these symbolic sequences. Then we use these conditions
to check the admissibility of periodic symbol sequences.
Project supported by National Natural Science Foundation of China (Grant No. 10471087), and Shanghai Municipal Commission
of Education (Grant No. 03AK33) |
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| Keywords: | coding piecewise linear map admissibility condition symbolic dynamics coding piecewise linear map admissibility condition symbolic dynamics |
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