DIGITAL SIGNAL PROCESSING
Learning outcomes of the course unit
Goal of the course is to provide the the students with the basics of the analysis of discrete-time signals, the design of digital signal processing systems and digital filtering.
Prerequisites
"Signal theory" (suggested)
Course contents summary
-- Discrete-time signals and systems.
Basic signals and elementary transformations. Sampling of continuous-time signals: sampling theorem, Nyquist condition, aliasing and anti-aliasing filtering. Representation of discrete-time signals in the frequency domain: the Fourier Transform of a sequence and its properties. Discrete-time systems and their properties: linear, time invariant, memoryless, stable, causal systems. Linear time-invariant systems (LTI) and the discrete convolution. Difference equations. Analysis of LTI systems in the frequency domain: the discrete-time complex exponential, the frequency response.
-- The z-Transform.
Definition and properties. Inversion of the z-Transform. Theorems and properties of the z-Transform. Transfer function of a LTI system. Rational transfer functions. Finite impulse response (FIR) systems and infinite impulse response (IIR) systems. Stability of discrete systems.
-- The Discrete Fourier Transform (DFT).
Definition, properties and use of the DFT. Circular convolution and relationship with linear convolution. Relationship with the Fourier Transform. Efficient computation of the DFT: the Fast Fourier Transform (FFT).
-- Digital processing of analog signals.
Simulation of analog systems. Design of IIR digital filters. Design of FIR filters.
Recommended readings
-- A.V. Oppenheim, R. W. Schafer , “Discrete-Time Signal Processing”
(3rd Edition, Prentice Hall Signal Processing (2009), ISBN: 0131988425
--M. H. Hayes, "Digital Signal Processing",
(Schaum's Outline Series) McGraw-Hill Education (1998 o 1999), ISBN: 0070273898
-- A. V. Oppenheim, R. W. Schafer, "Digital Signal Processing",
Prentice Hall, (1975), ISBN: 0132146355
-- M. Laddomada, M. Mondin, "Elaborazione numerica dei segnali", Addison Wesley Longman Italia, (2007), ISBN: 887192438X (in Italian)
-- M. Luise, G. M. Vitetta, "Teoria dei segnali"
(3^ ed.), McGraw-Hill (2009), ISBN: 9788838665837 (in Italian)
Assessment methods and criteria
Information to sudents and various documents are provided through the platform:
lea.unipr.it
Other informations
Information to sudents and various documents are provided through the platform:
lea.unipr.it
