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IEEE Circuits and Systems Society Distinguished Lecturer Program

IEEE Circuits and Systems Society Joint Chapter of the Vancouver/Victoria Sections

IEEE Signal Processing Society Vancouver Chapter

Centre for Scientific Computing, Simon Fraser University

 

 

On the Root of Digital Signal Processing

 

 

 

 

Speaker: Dr. Andreas Antoniou

IEEE Circuits and Systems Society Distinguished Lecturer

Professor Emeritus

Department of Electrical and Computer Engineering

University of Victoria, BC, Canada

 

Dates and Locations


Part I: Friday, October 12, 2007, 2:30 pm to 3:30 pm

ASSC-1: Room 10041 (The new building next to the Strand Hall and Bus Exchange)

Simon Fraser University

 

 

Part II: Monday, October 15, 2007, 2:00pm to 3:00pm

Room KAIS 2020, Fred Kaiser Building (2332 Main Mall)

University of British Columbia

Please click here for registration and webcast information.

PDF file of Part I

PDF file of Part II

WebEx Record of Part I

Abstract

The roots of what we refer to today as digital signal processing are actually the roots of modern mathematics, and to trace the evolution of DSP we need to go back to the 1600s even to the mathematical world of classical Greece. These two lectures, one at SFU and the other at UBC, will attempt in a not-so-rigorous exposition to outline the major historical landmarks that led to DSP. This subject of study, which has become a multifaceted discipline in recent years, comprises three fundamental processes, namely, discretization (or sampling), processing, and interpolation. Discretization concerns the conversion of a function of one or more continuous independent variables into numbers; processing entails converting or transforming the numbers obtained through discretization into some other form that is in some way or another more desirable; interpolation involves converting the set of processed numbers into a continuous function. Therefore, in our search for the roots of DSP, we must search for the origins of discretization, processing of numerical data, and interpolation.

SFU Lecture: On the Roots of Digital Signal Processing - 300 BC to 1770 AD

Oct. 12, 2007, 2:30pm to 3:30pm, Room 10041, ASSC-1, SFU

The first lecture will deal with certain great achievements over the period 300 BC to 1770 AD. It will demonstrate that in the process of deducing a value for pi, Archimedes of Syracuse was the first person to discretize a continuous function, on the one hand, and to apply interpolation on the other. The contributions of John Wallis and James Gregory during the 1600s to the concepts of infinity and the limit of a function extended the work of Archimedes and immediately led to the emergence of calculus. Newton continued the work of Wallis on what was known in those days as the method of quadrature and in the process he discovered the binomial series. In due course, he saw the big picture relating to the method of tangents (differentiation) and the method of quadrature (integration) and formulated calculus as we know it today. This new powerful tool enabled others, such as Stirling, Bessel, and Lagrange during the 1600s and 1700s to develop better and more sophisticated interpolation methods. It turns out that Stirling's interpolation method can be used to design nearly linear-phase lowpass recursive (FIR) filters which were not invented until the 1960s.

UBC Lecture: : On the Roots of Digital Signal Processing - 1770 to 1970

Oct. 15, 2007, 2:00pm to 3:00pm, Room KAIS 2020, Fred Kaiser Building, UBC

The second lecture will deal with certain landmark discoveries over the period 1770 to 1970. It will demonstrate that the mathematical tools for spectral analysis were introduced by a group of French mathematicians who studied or taught at Ecole Polytechnic in Paris during or soon after the French Revolution over a period of no more than 50 years or so. Lagrange and Laplace were teachers of Fourier and Poisson, Fourier was a teacher of Derishlet, and Poisson took the Chair of Fourier when the latter was appointed a Prefect in Grenoble by Napoleon. The processing of numerical data by machines was explored by many, including Pascal and Leibniz, but the most ambitious attempt was by Babbage who is often regarded to be the father of computing. However, the presentation will show that contrary to popular belief, what Babbage attempted to do during his entire professional life was to build a mechanical discrete system that would compute the entries of numerical tables and also print the tables in a single consolidated operation. The lecture will also deal with the origins of the sampling theorem which is attributed to Nyquist and/or Shannon. Actually, this famous theorem was discovered independently by several engineers or scientist around the 1930s and 1940s but the underlying principles were known to mathematicians long before that time and are closely related to an interpolation method due to the great Lagrange.
 

Biography of Dr. Andreas Antoniou

 

Dr. Andreas Antoniou is a Fellow of the IET (previously known as IEE) and the IEEE. He taught at Concordia University from 1970 to 1983, was the founding Chair of the Department of Electrical and Computer Engineering, University of Victoria, B.C., Canada, from 1983 to 1990, and is now Professor Emeritus. He is the author of Digital Signal Processing: Signals, Systems, and Filters published by McGraw-Hill in 2005 and the co-author with Wu-Sheng Lu of Optimization: Algorithms and Applications published by Springer in 2007. Dr. Antoniou served first as Associate and later as Chief Editor for the IEEE Transactions on Circuits and Systems from 1983 to 1987, as Distinguished Lecturer of the IEEE Signal Processing Society in 2003, as General Chair of the ISCAS 2004, and is now serving as Distinguished Lecturer of the CAS Society. He received the Ambrose Fleming Premium for 1964 from the IEE (best paper award), a CAS Golden Jubilee Medal, and the IEEE CAS Technical Achievement Award for 2005.

 

Registration for Part I lecture at SFU on Oct. 12

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Registration for Part II lecture at UBC on Oct. 15

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Webcast for Part I lecture at SFU

Please click here after 2pm on Oct 12 to join the WebEx-based webcast for the lecture at SFU. The password will be emailed to you after you register for the event.

Webcast for Part II lecture at UBC

Please click here after 1:30 pm on Oct 15 to join the WebEx-based webcast for the lecture at UBC. The password is casdlp10.

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Contact

 

Please contact Dr. Jie Liang (Email: JieL at sfu dot ca) if you have any question.