Dynamical analysis of a new chaotic system and its application in ADC

Dynamical analysis of a new chaotic system and its application in ADC
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一种新型混沌系统动力学分析及其在ADC中的应用

DOI:
10.1088/1402-4896/ac79d8
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发表时间:
2022-06
期刊:
影响因子:
2.9
通讯作者:
Fabao Yan
Fabao Yan
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Yupeng Shen;Yu Bai;Tao Zou;Lei Zhang;Yanrui Su;Zhao Wu;Haiwen Liu;Fabao Yan

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模数转换器(ADC)性能的提高是提高信号采集系统数据质量的关键。因此,本文基于抖动技术,结合混沌系统,设计并分析了一种提高ADC无杂散动态范围的新方法。首先,本文提出了一个新的五维混沌系统。对新系统的混沌特性和动力学行为进行了深入的分析。分析方法主要包括李雅普诺夫指数、分岔图、功率谱和样本熵。在Simulink中建立了相应的仿真模型,仿真结果证明了新混沌系统的真实性和可行性。其次,利用随机数均匀化通用算法对新混沌系统产生的混沌序列进行幅度修正。均匀性和相关性分析表明,抖动信号具有较强的均匀性和随机性。第三,建立了流水线ADC的行为级仿真模型,并分别加入窄带、宽带和不同幅度的Dither信号,验证了Dither信号对ADC动态性能的改善效果。实验结果表明,该设计方法可使ADC的SFDR提高10.37 dBc,有效地消除了谐波能量,提高了ADC的动态性能。
The improvement of Analog-to-Digital Converter (ADC) performance is crucial to improve the data quality of the signal acquisition system. Therefore, based on the dithering technology, combined with the chaotic system, the study designs and analyses a novel method to improve the Spurious-Free dynamic range (SFDR) of the ADC. First, a new five-dimensional chaotic system is proposed in this paper. The chaotic characteristics and dynamic behavior of the new system have been deeply analysed. The analysis methods mainly consist of the Lyapunov exponent, bifurcation diagram, power spectrum and sample entropy. The corresponding simulation model has been developed in Simulink, and the simulation results prove the reality and feasibility of the new chaotic system. Second, the random number homogenization universal algorithm is used to modify the amplitude of the chaotic sequences generated by the new chaotic system. The uniformity and correlation analysis prove that the Dither signal has strong uniformity and randomness. Third, a behaviour-level simulation model of the pipeline ADC is built; then, the narrowband, broadband and different amplitude Dither signals are added to verify the improvement effect for the dynamic performance of the ADC. The experimental results demonstrate that the designed method can improve the SFDR of the ADC by 10.37 dBc, which effectively eliminates the harmonic energy and improves the dynamic performance of the ADC.
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