Discrete Signals and Systems

Higher education teachers: Levstek Andrej
Collaborators: Pirc Matija

Subject description

Prerequisits:

• Enrolment in 3rd year

Content (Syllabus outline):

Sampling, spectrum of naturally sampled signal, reconstruction of countinuous-time signal, sampling theorem, frequency aliasing. Classification and properties of discrete signals(periodic, aperiodic, random signals). Spectral analysis of discrete signals: discrete time Fourier transform TDFT, discrete Fourier transform DFT. Discrete linear time invariant systems (LTI): Characterization of LTI systems: difference equation, impulse response, frequency response, system function, z-transform. Location of poles and zeroes: stability, phase shift, linear phase systems. Discrete filters: block scheme, signal flow graph, structures, digital filter specifications. FIR filter design: windowing, frequency transformations, equiripple filter design. IIR filter design: invariant impulse response method, bilinear transformation. Multirate systems: decimation, interpolation. Effects of digital implementation: quantisation noise, effects of coefficient quantisation.

Objectives and competences:

• Basic properties of discrete signals.
• Relations between discrete and continuous-time signals due to sampling and reconstruction.
• Spectral analysis of analogue signals using DFT.
• Advantages and drawbacks of FIR filters.
• Advantages and drawbacks of IIR filters.
• Significance of proper structure selection for fixed point implementations.

Intended learning outcomes:

• Chose suitable filter type: IIR or FIR.
• Design simple digital signal processing on computer.
• Select proper structure for real time implementation.

Learning and teaching methods:

• Lectures, tutorial, homework.

Study materials