EE2S11 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 Alle-Jan van der Veen (SPS)

Array signal processing; Signal processing for communications Rob Remis

Electromagnetic and acoustic wavefield modeling, imaging, and inversion

Last modified: 2019-09-20


Credits: 5 EC
Period: 0/4/0/0
Contact: Alle-Jan van der Veen