EE2S1 Signals and systems
Topics: Theory of signal transformations and LTI systems
Starting from complex function theory, the course presents the theory of signal transformations and linear time-invariant systems, preparing for courses on signal processing, systems theory, and telecommunication.
Part 1: continuous-time signals
- Linear time-invariant systems (LTI), eigenfunctions and eigenvalues of an LTI system, Dirac delta function, Heaviside unit step function. Convolution.
- Laplace transform, region of convergence. Properties. Convoluton and product, inverse transform.
- Periodic signals. Fourier series, line spectrum.
- Fourier transform (continuous time).
- Transformations of a pulse, sinc function, sign function, step function. Duality of the Fourier transform. Shift and modulation, Parseval's theorem.
Part 2: discrete-time signals
- Ideal sampling. impulse train, periodic spectrum. Sampling theorem (Nyquist, Shannon). Ideal reconstruction
- Discrete signals and systems, convolution.
- Z-transform
- Realizations (direct form for FIR, IIR)
- Fourier transform (discrete time)
- Filter design (analog and digital), frequency transformations.
Teachers
prof.dr.ir. Alle-Jan van der Veen
Array signal processing; Signal processing for communications
dr.ir. Rob Remis
Electromagnetic and acoustic wavefield modeling, imaging, and inversion
Last modified: 2024-08-09
