The automatic control teachings you have seen so far focused on modeling, analysis, and synthesis methods reserved for linear time-invariant systems (LTI systems). This course focuses on a much broader class of systems: nonlinear systems. Unlike the linear case, the diversity (to say the least!) of nonlinear models means there are few generic methodologies suitable for all systems in this class. In this course, we will explore methods to analyze the behavior (state trajectory) and stability of such systems.

The course "Signal Processing" is primarily intended for the 1st years Master’s students in Automation and Systems. This course presents in the first chapter, a comprehensive treatments of the Fourier analysis such that The Fourier series and the Fourier transforms, the convolution and correlation. The 2nd chapter focus on the continuous time filters (analog Filter). The 3rd chapter gives the idea on the sampling and quantization. The 4th chapter defines the Discrete Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT) and Fast Fourier Transform (FFT). In the last chapter, we introduce the digital filters that can be further classified into finite impulse response (FIR) and infinite impulse response (IIR) filters.