Signal separation has many applications in different fields, such as biology. In real-world applications, sometimes, the combined signals are not independent, and their separation is not easy with common methods and needs proper approaches. In this paper, it is assumed that the summation of chaotic signals from one chaotic system is available, and the system's equations are known. The aim is to separate the signals from that summation. The proposed method relies on generating some equations, solving them, and then checking the solutions to be in the attractor region. We examine our method on a two-dimensional and a three-dimensional chaotic map and then generalize it to a continuous-time chaotic flow.

信号分离在生物学等不同领域有许多应用。在实际应用中，有时组合的信号不是独立的，并且使用常规方法将其分离并不容易，需要适当的方法。在本文中，假设来自一个混沌系统的混沌信号求和是可用的，并且该系统的方程式是已知的。目的是从该求和中分离出信号。所提出的方法依赖于生成一些方程，对其进行求解，然后检查解在吸引子区域中。我们在二维和三维混沌图上检查我们的方法，然后将其推广为连续时间混沌流。