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

prof.dr.ir. Alle-Jan van der Veen

Array signal processing; Signal processing for communications

dr.ir. Richard Heusdens

Audio and acoustic signal processing, distributed signal processing, information theory (source coding), speech enhancement

dr.ir. Rob Remis

Electromagnetic and acoustic wavefield modeling, imaging, and inversion

Last modified: 2017-09-26

Details

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