Aim: The course is intended to give a survey of the basic aspects of signal domains and the effects in digital signal processing in terms of signal distortion.   Topics:   1.       Review of some notions on Fourier Transform in different time domains (continuous and discrete; aperiodic and periodic). The FFT.   2.       Definitions and properties of signal energy, convolution, correlation in the time domains and their Fourier transforms   3.       Signal transformations. Linear transformations. Elementary transformations: sampling and interpolation. Up- and Down-Periodization   4.       Numerical computation of the Fourier transform of a continuous-time finite energy signal via FFT   5.       Numerical computation of the convolution (correlation) of two continuous-time finite energy signals via FFT.   6.       Bandlimited continuous time signal filtering: from analog filters to a mix of analog and digital filters.   7.       Example of applications: OFDM modulation and cyclic prefix.   8.       Channel estimation in OFDM systems   9.       Estimate of power spectrum for finite power signals. From definitions to numerical computation.   10.   FFT output SNR for a quantized input signal. Discussion   Course requirements: Basic knowledge of signals and systems.   References: All the necessary material can be found in G. Cariolaro book: ”Unified Signal Theory”, (Springer-Verlag, London 2011).   Time table: Course of 20 hours (2 two-hours lectures per week): Classes on Monday and Friday, 10:30 – 12:30. First lecture on Monday October 12-th, 2015. Room 318 DEI/G (3-rd floor, Dept. of Information Engineering, via Gradenigo Building).