Mini-courses given on occasion of SampTA 2017
for doctoral students/recent PhD graduates

Tallinn, Estonia July 2 – 4, 2017

Sunday, July 2, 2017 9:30 Procession of the 12th Youth Song and Dance Celebration ( ), starts at Vabaduse väljak (Freedom Square). A good place to watch it is at the Tallinn University ( ), Narva Road 25 – 29.

Attention: due to the Procession the public transportation and any traffic in city centre (Vabaduse väljak, Pärnu Road, Viru Square, Narva Road) is closed at 8:00 – 15:00 pm. Getting from the Sokos Viru Hotel to the Tallinn University you should have a walk about 15 minutes along the Narva Road.

Lectures of the Mini-courses, Tallinn University, Astra (glass) building, Narva Road 29.

Registration opens at 10:00 in foyer.

10:30 – 11:45 Abdul Jerri (Clarkson University in Potsdam, NY), Multivariate Sampling Theory for Signal Processing – A Tutorial Review

12:00 – 13:15 Ahmed Zayed (DePaul University, Chicago), Fractional Integral Transforms and Their Applications

Lunch in Oaas (university cafeteria)

14:15 – 15:30 Götz Pfander (Catholic University Eichstätt-Ingolstadt, Germany) Compressive Sensing in a Nutshell

Abstract: We shall outline the principles underlying the recovery of sparse signals using compressive sensing techniques such as Basis Pursuit and Orthogonal Matching Pursuit. The talk is intended to establish the basic vocabulary and should serve as preparation for students that will listen to compressive sensing talks at SampTA without previous exposure to the topic.

Coffee in Oaas

16:00 – 17:15 Sinan Güntürk (Courant Inst. of Math. Sci., New York University) Sampling and Quantization: A Mathematical Perspective

Abstract: Digital signals have replaced analog signals in nearly every technological application domain, offering robustness, ever increasing quality, and speed. Meanwhile, the signals we perceive audiovisually (sound and video), or measure via instrumentation (e.g., geophysical signals and medical images), are still analog in their nature. Consequently, the processes of analog-to-digital (A/D) and digital-to-analog (D/A) conversion are as crucial as ever. In fact, the performance of these processes must constantly improve to meet the increasing demands at the digital processing end. While there are many A/D conversion algorithms used in practice, almost all of them can be described via two fundamental mathematical operations: sampling and quantization. Here, sampling could be “à la Shannon”, or more generally, with respect to some frame, though many ideas extend to the nonlinear world of compressive and phaseless sampling as well. In this mini-course we will
(1) present the mathematical foundations of A/D conversion focusing on the noise-shaping method (also known as sigma-delta modulation),
(2) summarize some of the modern developments, and
(3) discuss some future challenges. The mini-course is also intended to serve as an introduction to the SampTA special session “Mathematical theory of quantization”.

On July 3 – 4 the program will be scheduled by SampTA