| 二余运算数字滤波中动力学符号序列的可允许条件 |
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| 引用本文： | 袁利国,傅新楚,余荣忠.二余运算数字滤波中动力学符号序列的可允许条件[J].上海大学学报(英文版),2005,9(5). |
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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，Shanghai Institute of Applied Mathematics and Mechanics，Shanghai University，Shanghai 200072，P.R.China，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 Chi-na (Grant No .10471087) ,and Shanghai Municipal Commission ofEducation (Grant No .03AK33) |
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| 摘 要： | 1IntroductionThere are several situations in signal processingwhere systems are well-modelled by the systems thatare either exactly or close to being piecewise linear .For example , the overflow oscillation problem forlossless digital filters and bandpass sigma-delta modu-lator dynamics in Ref .1 ,2] .In Ref .2 -5] somecomplex behaviors in second-order digital fiters havebeen discussed .In Ref .6 ,7] symbolic dynamics for some invertible2-di mensional discontinuous hyperbolic maps was dis…
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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). |
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| Authors: | YUAN Li-guo FU Xin-chu YU Rong-zhong |
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| Institution: | Shanghai University |
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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. |
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| Keywords: | coding piecewise linear map admissibility condition symbolic dynamics |
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