Advanced Sampling and retrival Methods - The Compressive Processing Paradigm
Lecturers: Nicola Anselmi (UNITN/DICAM); Marco Salucci (UNITN/DICAM)
Timetable: June 2023
The Compressive Processing (CP) paradigm is fundamentally interdisciplinary, with interplay
between applied/pure mathematics and engineering serving to fertilize new researches opening
new frontiers. The impact of CP goes far beyond compression and classical signal processing.
Whenever acquiring/inverting data/information is difficult, dangerous, or expensive, CP allows
to proceed with much less data/information than previously thought possible. Such a possibility
has been rapidly exploited in several and different ranges of practical engineering problems
almost always leading to striking results that significantly advance the state‐of‐the‐art.
The course is targeted to make attendees (i) understanding the basics of CP, (ii) learning
the leading-edge and most recent advances on CP-based algorithms, while (iii) overviewing the
most appealing applications of CP in advanced engineering fields. Applicative examples including
exercises will corroborate the theoretical concepts, as well.
- Review of the basics and fundamentals of CP;
- Compressive sampling: acquisition problem and incoherent sampling;
- Compressive sensing: retrieval problem and sparse signal reconstruction;
- Advanced CP-based sampling methodologies at the state-of-the-art;
- Advanced CP-based retrieval methodologies at the state‐of‐the‐art;
- Engineering applications of CP: capabilities, limitations, and perspectives;
- Applicative examples including exercises regarding specific engineering applications of
CP sampling and CP retrieval methodologies.
 E. J. Candes and M. B. Wakin, "An introduction to Compressive Sampling," IEEE Signal
Proc. Mag., vol. 25, no. 2, pp. 21-30, Mar. 2008.
 G. Oliveri, M. Salucci, N. Anselmi, and A. Massa, "Compressive sensing as applied to
inverse problems for imaging: theory, applications, current trends, and open challenges,"
IEEE Antennas Propag. Mag., vol. 59, no. 5, pp. 34-46, Oct. 2017.
 A. Massa, P. Rocca, and G. Oliveri, "Compressive sensing in electromagnetics - A review,"
IEEE Antennas and Propagation Magazine, pp. 224-238, vol. 57, no. 1, Feb. 2015.
Duration: 32 hours ( 4 credits)
Registration: in order to access the course please send an email to dicamphd [at] unitn.it