基于符號(hào)動(dòng)力學(xué)的混沌信號(hào)處理研究
Study on Chaotic Signal Processing with Symbol Dynamics
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摘要: 基于1-D分段線(xiàn)性映射函數(shù)構(gòu)造的混沌系統(tǒng)符號(hào)動(dòng)力學(xué)，該文研究了一種能直接對(duì)混沌符號(hào)序列進(jìn)行加、減及乘法運(yùn)算的方法。由兩串符號(hào)序列之間的軌道距離定義推導(dǎo)并證明了相應(yīng)的運(yùn)算法則。通過(guò)FIR數(shù)字濾波器卷積和操作的計(jì)算機(jī)數(shù)值仿真表明，采用這些方法運(yùn)算得到的結(jié)果與傳統(tǒng)二進(jìn)制算術(shù)編碼算法完全等效，可應(yīng)用于混沌信號(hào)處理系統(tǒng)。
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關(guān)鍵詞:
- 混沌; 符號(hào)動(dòng)力學(xué); 信號(hào)處理
Abstract: Based on symbol dynamics in 1-D piecewise linear mapping chaotic systems, an arithmetic method processing chaotic signals is studied in the paper, including addition, subtraction and multiplication. The operational rules are calculated and proved according to a definition of the distance between two chaotic sequences. By computer simulation with convolution sum of FIR digital filter, the results show that the model is the same as traditional binary coding arithmetic, which can be used in chaotic signal processing systems. -
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