Module Summary: Theory and Signal Processing
This module covers foundational concepts in signal processing, beginning with an overview of signals and systems, including basic definitions and types of signals. It introduces elementary signals and their roles in analyzing complex systems. Signal representation is explored using vector spaces, allowing a structured approach to understanding and manipulating signals.
The module then examines correlation and convolution as key operations in signal analysis, explaining their importance in determining relationships between signals and system responses. Fourier series and Fourier transforms are introduced for continuous signal analysis, followed by the discrete Fourier transform (DFT) and the Fast Fourier Transform (FFT) for discrete signals, emphasizing their applications in signal decomposition and frequency analysis. Finally, there is an introduction to random signals, laying the groundwork for understanding signals in noisy or unpredictable environments.
- Teacher: CHERABIT Nouredine