The class aims at providing the students with an information theoretic framework that will allow formal modeling, understanding of the fundamental performance limits, and derivation of unconditionally secure mechanisms for several security-related problems.
- Docente: Laurenti Nicola
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.
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
Basic knowledge of signals and systems.
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).
- Docente: Pupolin Silvano