Digital Signal Processing

Learning Outcomes

Upon completion of the course students will have a good understanding and knowledge of the main ideas, algorithms, and tools in the area of ​​digital signal processing and will be able:

• to perform continuous-time signal sampling and to reconstruct them from their samples by selecting appropriate parameters and functions,
• to process continuous-time systems in the field of discrete-time and vice versa,
• to change the sampling rate of discrete-time signals, avoiding folding phenomena,
• to calculate the frequency response of linear and temporally invariant systems of discrete-time, implement decomposition into a minimum phase system and a finite system, and describe generalized linear phase systems,
• to implement discrete-time systems using different structures,
• to design filters with an impact response of infinite or finite duration using appropriate methods,
• to understand the importance of the discrete Fourier transform and its fast computational algorithms,
• to analyze discrete-time signals in the frequency domain, using the windowing method as well as the time-dependent discrete Fourier transform, and reconstruct the signal with the overlap-addition algorithm,
• to calculate the spectrum and signal period,
• to implement code in the MATLAB computing environment to achieve the above.

Indicative Module Content

• Introduction to Digital Signal Processing
• Discrete-time Signals
• Discrete-time Systems
• Discrete Fourier Transform and applications
• Frequency response
• Frequency Domain Representation of Discrete-time LTI Systems
• Analog to digital conversion
• Z-transform
• Digital filter Design