Surveying the frontier between signal processing and dynamical systems

International audienceThe first and most obvious rapprochement between the areas of signal processing (SiP) and that of dynamical systems (DS) is their very fundamental interest: the analysis, prediction and control of real world physical systems, either natural or man-made. This occurred quite fast at the level of analysis and modeling tools, either research area borrowing with great ease methods and concepts from another, from elementary to the very complex levels. The main purpose of this paper is to review several such convincing examples, presenting them from a global perspective. The question of the chaotic systems, a subclass of DS, is also addressed. While already used in large bandwidth communications, their influence is shown to be extendable even further. On this line, their use in sea electromagnetic echo is presented. The article ends with conclusions, which analyze the pros and the cons, and perspectives, which are aimed at future research axis