Several resources are available
The first one is in French. It is a course on Linear Systems Theory From the Algebraic Point of View. It starts with the equivalence of Linear Time Invariant (LTI) differential systems and their (symbolic) polynomial representation. Fundamentals of matrix algebra over euclidian rings are explained. Differential equivalence is translated into algebraic equivalence, which leads to the definition of systems. The course end with the Youla parameterization of proper stabilizing generalized feedbacks.
The others resources are about signal processing. Three Matlab tutorials are available online:
The first one is in French. It is a course on Linear Systems Theory From the Algebraic Point of View. It starts with the equivalence of Linear Time Invariant (LTI) differential systems and their (symbolic) polynomial representation. Fundamentals of matrix algebra over euclidian rings are explained. Differential equivalence is translated into algebraic equivalence, which leads to the definition of systems. The course end with the Youla parameterization of proper stabilizing generalized feedbacks.
The others resources are about signal processing. Three Matlab tutorials are available online:
- Frequency analysis and synthesis: analysis and separation of a temperature chronicle over a year; elaboration of a simple music synthesizer using a sound sample
- Introduction to JPEG compression: grayscale approximation using the DCT and color approximation. PDF file to be used electronically, as internet links are included.
- Introduction to wavelets: construction of an elementary toolbox for 1-D signals, then for 2-D signals. Application to the approximation of 1-D signals, and to the approximation of the same images as those used in the JPEG tutorial.