Acoustics and audio is covered and the manipulation and processing of audio signals. It is shown how Fourier analysis of the soundfield yields to the representation of a soundfield with plane waves. These and other acoustic insights are used to explain microphone techniques and reproduction of the soundfield. Spatial hearing is covered in detail and used to motivate stereo and surround mixing and audio playback. In addition, insights on the principles of auralization and virtual acoustics are given, and the simulation of sound propagation in rooms will be further discussed. The short-time Fourier transform is introduced as a tool for flexible manipulation of audio signals, suchs as filtering, delaying and other spectral modification. Matrix surround, audio coding, and beamforming are also treated.

This course is an introduction to analysis, modeling and interpretation of biometric data for biometric person recognition, forensic biometrics, cybersecurity and behavioral biometrics in man-machine communication.


  1. Ancient cryptography: Vigenère, Enigma, Vernam cipher, Shannon theory
  2. Diffie-Hellman cryptography: algebra, Diffie-Hellman, ElGamal
  3. RSA cryptography: number theory, RSA, factoring
  4. Elliptic curve cryptography: elliptic curves over a finite field, ECDH, ECIES
  5. Symmetric encryption: block ciphers, stream ciphers, exhaustive search
  6. Integrity and authentication: hashing, MAC, birthday paradox
  7. Applications to symmetric cryptography: mobile telephony, Bluetooth, WiFi
  8. Public-key cryptography: cryptosystem, digital signature
  9. Trust establishment: secure communication, trust setups
  10. Case studies: Bluetooth, TLS, SSH, PGP, biometric passport

Establishing the theoretical basis of linear and nonlinear dynamical systems in both continuous and discrete time. Learning how to anticipate the properties of linear as well as strongly and weakly nonlinear systems.

The goal of this class is to present signal processing tools from an intuitive geometric point of view which is at the heart of all modern signal processing techniques from Fourier transforms and sampling theorems to time-frequency analysis and wavelets. The course is designed to provide the mathematical depth and rigor needed for the study of advanced topics in signal processing and also features introductions to current applications where such tools are crucial. In particular, several applications will be studied, including image compression with linear and non-linear approximation, audio coding, mobile sensing, and prediction of the stock market. 

During this course, students will:
- Master the right tools to tackle advanced signal and data processing problems
- Have an intuitive understanding of signal processing through a geometrical approach
- Get to know the applications that are of interest today
- Learn about topics that are at the forefront of signal processing research


This course covers the design and analysis of satellite communication systems and networks. It provides an introduction to satellite communication (SATCOM) systems and design, satellite link budget analysis, the SATCOM channel, modulation, coding and performance analysis of SATCOM systems and satellite networks, limitations and throughput efficiency. Additionally, the course also introduces special topics in the space and near-space domains, such as High altitude Platforms.


The main objective is to perform satellite communication system and network design and analysis.

In this course you will learn and understand the main ideas that underlie and the way networks are built and run. You will be able to apply the concepts to the smart grid. In the labs you will exercise practical configurations. You will be able to

  • Test and clarify your understanding of the networking concepts by connecting computers to form a LAN, interconnected by routers and interconnected autonomous routing domains. 
  • test the effect on performance of your TCP implementation and of traffic control settings
  • develop and test various communicating programs using sockets
  • be familiar with IPv6 as well as IPv4 and the interworking between them
  • run a virtual networking environment in your computer where and deploy real networks in an emulated environment

This is a master level course for master and PhD students