IEEE Signal Processing Society Japan Chapter 会員各位 IEEE Signal Processing Society Japan Chapter Chair 杉山昭彦(NEC) Vice Chair 嵯峨山茂樹(東京大学) IEEE Signal Processing Society Japan Chapter およびEURASIPの主催で 下記のProf. Martin Vetterli(Vice-President, International Affairs, EPFL, Professor, School of Computer and Communication Sciences, EPFL)の特別講演会を第25回信号処理シンポジウムの会場にて開催いた します。奮ってご参加いただきますようお願いいたします。 記 IEEE SPS Japan Chapter 特別講演会 (1) 講演者: Prof. Martin Vetterli (Vice-President, International Affairs, EPFL, Professor, School of Computer and Communication Sciences, EPFL) (2) 開催日時:2010年11月25日(木) 17:00-18:00 (3) 会 場:奈良女子大学 信号処理シンポジウムA会場 ※本特別講演の聴講のみの場合は参加費は無料ですが,信号処理 シンポジウムのセッションに参加するには参加登録と参加費が 必要となります.詳細は下記の信号処理シンポジウムホームペ ージをご参照ください. http://www.ieice.org/~sip/symp/2010/ (4) 講演題目 Sampling Theory and Practice: 50 Ways to Sample your Signal (5) 講演概要 Sampling is a central topic not just in signal processing and communications, but in all fields where the world is analog, but computation is digital. This includes sensing, simulating, and rendering the real world. The question of sampling is very simple: when is there a one-to-one relationship between a continuous-time function and adequately acquired samples of this function? Sampling has a rich history, dating back to Whittaker, Kotelnikov, Shannon and others, and is a active area of contemporary research with fascinating new results. The classic result of sampling is the one on bandlimited functions, where taking measurements at the Nyquist rate (or twice the maximum bandwidth) is sufficient for perfect reconstruction. These results were extended to shift-invariant subspaces and multiscale spaces during the development of wavelets, as well as in the context of splines. All these methods are based on subspace structures, and on linear approximation. Recently, non-linear methods have appeared. Non-linear approximation in wavelet spaces has been shown to be a powerful approximation and compression method. This points to the idea that functions that are sparse in a basis (but not necessarily on a fixed subspace) can be represented efficiently. The idea is even more general than sparsity in a basis, as pointed out in the framework of signals with finite rate of innovation. Such signals are non-bandlimited continuous-time signals, but with a parametric representation having a finite number of degrees of freedom per unit of time. This leads to sharp results on sampling and reconstruction of such sparse continuous-time signals, namely that 2K measurements are necessary and sufficient to perfectly reconstruct a K-sparse continuous-time signal. In accordance with the principle of parsimony, we call this sampling at Occam's rate. We indicate an order K^3 algorithm for reconstruction, and describe the solution when noise is present, or the model is only approximately true. Next, we consider the connection to compressed sensing and compressive sampling, a recent approach involving random measurement matrices. This is a discrete time, finite dimensional set up, with strong results on possible recovery by relaxing the l_0 into l_1 optimization, or using greedy algorithms. These methods have the advantage of unstructured measurement matrices (actually, typically random ones) and therefore a certain universality, at the cost of some redundancy. We compare the two approaches, highlighting differences, similarities, and respective advantages. Finally, we move to applications of these results, which cover wideband communications, noise removal, distributed sampling, and super- resolution imaging, to name a few. In particular, we describe a recent result on multichannel sampling with unknown shifts, which leads to an efficient super-resolution imaging method. (6) 講演者紹介 Martin Vetterli received the Dipl. El.-Ing. degree from ETH Zurich (ETHZ), Switzerland, in 1981, the MS degree from Stanford University in 1982, and the Doctorates Sciences degree from EPF Lausanne (EPFL), Switzerland, in 1986. He was a Research Assistant at Stanford and EPFL, and has worked for Siemens and AT&T Bell Laboratories. In 1986 he joined Columbia University in New York, where he was last an Associate Professor of Electrical Engineering and co-director of the Image and Advanced Television Laboratory. In 1993 he joined the University of California at Berkeley, where he was a Professor in the Department of Electrical Engineering and Computer Sciences until 1997, and now holds an Adjunct Professor position. Since 1995 he is a Professor of Communication Systems at EPF Lausanne, Switzerland, where he chaired the Communications Systems Division (1996/97), and heads the Audiovisual Communications Laboratory. From 2001 to 2004 he directed the National Competence Center in Research on mobile information and communication systems. He is also a Vice-President for Institutional Affairs at EPFL since October 2004. He has held visiting positions at ETHZ (1990) and Stanford (1998). He is a fellow of the IEEE, a fellow of ACM, a member of SIAM. He is on the editorial boards of Applied and Computational Harmonic Analysis, The Journal of Fourier Analysis and Application and IEEE Journal on Selected Topics in Signal Processing. He received the Best Paper Award of EURASIP in 1984 for his paper on multidimensional subband coding, the Research Prize of the Brown Bovery Corporation (Switzerland) in 1986 for his doctoral thesis, the IEEE Signal Processing Society's Senior Awards in 1991, in 1996 and in 2007 (for papers with D. LeGall, K. Ramchandran, and Marziliano and Blu, respectively). He won the Swiss National Latsis Prize in 1996, the SPIE Presidential award in 1999, and the IEEE Signal Processing Technical Achievement Award in 2001. He was a member of the Swiss Council on Science and Technology until Dec. 2003. He was a plenary speaker at various conferences (e.g. IEEE ICIP, ICASSP, ISIT) and is the co-author of books with J. Kovacevic, Wavelets and Subband Coding, with P. Prandoni, Signal Processing for Communications, and with J. Kovacevic and V. K. Goyal, The World of Fourier and Wavelets. He has published about 120 journal papers on a variety of topics in signal /image processing and communications, holds a dozen patents and is an ISI highly cited researcher in engineering. His research interests include sampling, wavelets, multirate signal processing, computational complexity, signal processing for communications, digital image/video processing, joint source/channel coding and signal processing for sensor networks. 主催:IEEE SP-JC, EURASHIP 共催:IEEE CAS-JC, IEEE SP-Kansai, 第25回信号処理シンポジウム 問い合わせ先: 梶川嘉延 (Secretary) 564-8680 吹田市山手町3-3-35 関西大学 システム理工学部 電気電子情報工学科 Tel: 06-6368-1121 Fax: 06-6330-3770 E-mail : kajikansai-u.ac.jp