Signal Processing in Telecommunications

Objectives and outcomes

Becoming familiar with the methods for frequency analysis of digital signals and methods for designing and applying digital filters in telecommunications. The analysis of telecommunication signals. Students understand how frequency transformations are applied to the analysis of telecommunication signals. They are qualified to apply fast Fourier transformation algorithms to the analysis of spectral characteristics of signals in telecommunications. Students use methods for designing digital filters according to desired specifications.


Basic discrete signals: overview of frequency properties of signals, application of frequency transformations. Concept and application of discrete Fourier transformation and FFT algorithm in digital signal processing. Application of z-transformation for analysis of discrete systems. Infinite impulse response filters. Design of infinite impulse response filter – IIR. Finite impulse response filters. Design of finite impulse response discrete filters – linear phase FIR. Stochastic and adaptive signal processing. Random processes, spectral representation of random processes, optimal adaptive filters. Interpolation and signal selection. Quantisation. Introduction to multi-rate signal processing: decimation and interpolation. An introduction to image-to-sound processing. Practical applications in digital telecommunications.

Practical classes

Application of software packages GNU Octave, Matlab for analysis of discrete signals. Calculation of the signal spectrum using the FFT algorithm. Presentation of the software system. Determination of the frequency response of the system, the position of poles and zeros. Computer-aided design of digital filters. Stochastic and adaptive signal processing.