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.

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).


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STATMETH 2016