This course on transforms aims primarily to introduce, explain, and apply these fundamental mathematical tools for the analysis of signals and systems, both in the continuous and discrete domains.
The main general objectives are:
- To understand the theoretical concepts underlying the Fourier, Laplace, and Z transforms.
- To acquire practical skills in using transforms to solve real-world problems in computer science and engineering.
- To develop the ability to transition from time-domain to frequency-domain representations.
- To use transforms for simulation, control, and signal processing.