Tutorial on Multidimensional Sampling and Signal Reconstruction

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• Dr Flavio Zabini, University of Bologna, Italy
• Thursday 12 October 2017, 09:30-12:30
• Seminar Room 909b, Level 9, EEE Building.

If you have a question about this talk, please contact Joan P O'Brien.

Abstract: This tutorial introduces multidimensional random sampling with uncertainties jointly accounting for signal properties (signal spectrum and spatial correlation) and sampling properties (spatial distribution of samples described by a point process, sample availability, and non-ideal knowledge of sample positions). First, a brief history of sampling theory is presented, starting from the classical Whittaker-Kotelnikov-Shannon (WKS) theorem to the recent results on multidimensional random sampling, and fundamentals of spatial point process theory with applications to wireless sensor networks (WSNs) are provided. Second, relying on concepts such as spectral representation and reconstruction accuracy metric, the focus moves step by step from regular sampling in time domain to random sampling in multidimensional domain. Uncertainties in sample positions and sensor measurements are also introduced. The reconstructed signal spectrum and the signal reconstruction accuracy are derived as a function of signal and sampling properties. In particular, the signal reconstruction accuracy is first determined in a general case and then specialized to cases of practical interests. It is shown that the previously known results can be obtained as special cases of the introduced general framework. Then, issues typically related to WSNs, such as energy consumption, data loss, and capacity-per-area limitations are included into the proposed framework. Finally, some ideas that connect sampling theory to rate-distortion theory are proposed.

Speaker Bio: Flavio Zabini received the Laurea (summa cum laude) in telecommunications engineering and the Ph.D. in electronic engineering and computer science from the University of Bologna, Italy, in 2004 and 2010, respectively. He is a Researcher at the University of Bologna, Italy. Prior to joining the University of Bologna, he was with the National Research Council (CNR). In 2008, he worked as a visiting student at the DoCoMo Eurolabs of Munich, Germany. In 2013-2014 he was post-doctoral Fellow at German Aerospace Center (DLR), Cologne, Germany. His research interests include the theory and experimentation of wireless systems and networks, including channel coding for optical links, echo cancellation for on-channel repeaters, random sampling for sensor networks, and performance-fairness trade-off in communications. He is an editor of the KSII Transactions on Internet and Information Systems.

This talk is part of the Featured talks series.

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• Andrea Picciau's list
• COMMSP & CP list
• COMMSP Seminar
• Featured talks
• SAP Talks
• Seminar Room 909b, Level 9, EEE Building

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