MS in Telecommunication Systems

Course Structure

Random Processes
Advanced C++
TCP/IP – Internetworking
Mobile Communication
The objective of the course is that the student will get knowledge about stationary random processes and their
application in technology.
Content
The course is primarily focused on stationary random processes from a probability point of view, analysed both in
the time- and the frequency domain. Applications, especially in signal processing and telecommunications, are
discussed.
• Repetition of some distributions for one-dimensional random variables
• Multi-dimensional random variables
• Orientation about simulation of random variables
• Chi-square test of hypotheses concerning distribution
• Random processes analysed in the time domain: Continuous and discrete time, stationarity, the autocovariance
and autocorrelation functions, continuity, differentiation, integrals of random processes.
• Some special cases: the Poisson process, the normal (Gaussian) process
• Random processes analysed in the frequency domain: the Fourier transfoirm, spectral density, the cross power
spectral density
• Linear systems with random input: impulse response, transfer function, the relation between the spectral density
for the input and for the output
• Markov chains
• Markov processes
• Basiq queueing theory: M/M/m, M/G/1
• Applications from various technical fields: Signal processing, telecommunications, mechanics
5 Aims and learning outcomes
On completion of the course the student will be able to:
• Discuss and apply computation methods for random processes in linear systems
• Know the most important applications of random processes, especially in electrical engineering, mechanics and
economy
• Describe how a problem involving random processes can be identified and solved
• Use the usual English vocabulary concerning
random processes