信号处理中的非线性动力学技术

J. Parish
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引用次数: 2

摘要

本文描述了混沌时间序列的李雅普诺夫指数和分形维数的计算。这些指标为低维非线性系统产生的非周期信号提供了适当的表征。非线性动力学解释了产生这种信号的非线性系统的潜在遍历性。给出了几种非线性系统的结果。
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Nonlinear dynamics techniques in signal processing
This paper describes the calculation of Lyapunov exponents and fractal dimension for a chaotic time series. These metrics provide appropriate characterization for the nonperiodic signals generated by low dimensional nonlinear systems. Nonlinear dynamics account for the underlying ergodicity of the nonlinear system which produces such signals. Results for several nonlinear systems are presented.<>
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