Signals and systems for Life Sciences (I + II)
M. Unser and P. Vandergheynst
of the basic concepts and mathematical tools for the characterization
of signals, and for the analysis and design of linear systems (filters
or transmission channels). Application of these techniques to signal
processing and communications. The first semester is devoted to the
continuous-time formulation, while the second one focuses on
discrete-time signals and digital systems.
- Introduction. Fundamental notions. Structure of a communication system.
- Time-domain analysis of linear, continuous-time systems. Convolution.
- Signal representation by Fourier series. Orthogonal transforms.
- Fourier transform.
- Frequency analysis of continuous-time systems. Filtering. Sampling.
- Application to communications.
- Analysis and synthesis of analog filters.
- Discrete signals and systems. Discrete convolution. z-transform.
- Time-domain analysis of discrete signals.
- Discrete-time Fourier transform. FFT.
- Frequency analysis of discrete systems.
- Statistical properties of signals.
- Source and channel coding of signals.
- Digital communications.
- M. Unser, Signaux et Systèmes—Vol. 1, slides of the course.
- M. Unser, Signaux et Systèmes—Vol. 2, slides of the course.
- B.P. Lathi, Signal Processing and Linear Systems, Oxford University Press, UK, 1998.
© 2009 EPFL • • 30.11.2009