This course aims at the introduction of students in the theory of discrete time and continupus time Signals and Systems, in the properties of systems, their classification, their response in various signal inputs, in time and frequency domain, and in the implementation of basic system functions.
Course Content (Syllabus)
Analog signals and systems - Time domain analysis: Systems and continuous time signals. Basic continuous-time signals and expression of signals as a function of them. Energy and power signals, Classification of systems, Input-output relation in Linear Time Independent (LTI) systems. Impulse response, Convolution and expression of the output as a function of the impulse response, Describing systems with differential equations and calculation of the impulse response, Response of LTI systems, Analog signals and systems - Frequency domain analysis: Periodic signals and Fourier series, Amplitude and phase spectra, Transfer function of LTI systems, Fourier transforms of continuous time signals, Average power of periodic signals and energy spectral density of continuous signals (Parceval's theorem), Transfer function and impulse response, Filters, Laplace transforms of continuous time signals, Properties of Laplace transforms, Response of LTI systems with Laplace transforms, Transform function and Laplace transfrom equivalents of circuit components, Stability, time response and filter behaviour of systems with Laplace transforms. -----
Discrete time signals and systems: Classification of discrete-time systems, Analysis of discrete-time linear time-invariant systems, The convolution sum, Difference equation, Implementation of discrete-time systems. The z-Transform and its applications to the analysis of LTI systems: Properties of z-Transform, Inversion of z-Transform, Analysis of LTI systems in z-Domain, Stability.Frequency analysis of discrete-time signals: The Fourier series of discrete-time periodic signals, The Fourier transform of discrete-time aperiodic signals, Properties of Fourier transform. Frequency domain analysis of LTI systems, Frequency response. The Discrete Fourier Transform. Design of digital filters: Causality, Design of linear phase FIR filters using windows, Design of IIR filters from analog filters.
Continuous time signals and systems, Frequency analysis of continuous time signals, Transfer function, Laplace transform, Discrete time signals and systems, z-Transform, Frequency analysis of discrete-time signals, Filter design
Additional bibliography for study
1) Σήματα και Συστήματα - Αναλογικά Σήματα, Ιωνάννη Δ. Χατζηδημητρίου, 2004 (http://users.auth.gr/hadjidem/simata kai systimata.pdf)
2) Signals and Systems (Schaum's Outline of Theory and Problems of), Hwei P. Hsu , McGraw-Hill, 1995.
3) Digital Signal Processing: Principles, Algorithms and Applications, Fourth edition, John G. Proakis, Dimitris G. Manolakis, Pearson International Edition, 2007.