This paper aims at introducing the Lempel–Ziv permutation complexity vs. permutation entropy plane (EC-plane) as a tool to analyze time series with diverse dynamical nature. These two quantities use the Bandt and Pompe representation to quantify a continuous-state time series. The main strength of this approach lies in the fact that this plane combines two different perspectives to study a signal, one being purely statistic (the permutation entropy) and the other being algorithmic (the Lempel–Ziv complexity). The results allow us to conclude that the EC-plane constitutes an appropriate framework for: (i) characterizing non-linear chaotic maps, (ii) distinguishing deterministic from stochastic processes and (iii) to discriminate between fractional Brownian motion, fractional Gaussian noise and $K$-noise.

本文旨在介绍Lempel-Ziv置换复杂度与置换熵平面（EC-plane）作为分析具有多种动力学性质的时间序列的工具。这两个量使用Bandt和Pompe表示来量化连续状态时间序列。这种方法的主要优势在于，该平面结合了两种不同的观点来研究信号，一种观点是纯粹的统计量（置换熵），另一种观点是算法的（Lempel-Ziv复杂度）。结果使我们得出结论，EC平面构成了以下方面的适当框架：（i）表征非线性混沌图，（ii）区分确定性与随机过程，以及（iii）区分分数布朗运动，分数高斯噪声和$ķ$-噪声。