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Richard Baraniuk
Title of talk :
Compressive Sensing
Abstract
Sensors, cameras, and imaging systems are under
increasing pressure to accommodate ever larger and higher-dimensional
data sets; ever faster capture, sampling, and processing rates; ever
lower power consumption; communication over ever more difficult
channels; and radically new sensing modalities. The foundation of
today's digital data acquisition systems is the Shannon/Nyquist sampling
theorem, which asserts that to avoid losing information when digitizing
a signal or image, one must sample at least two times faster than the
signal's bandwidth, at the so-called Nyquist rate. Unfortunately, the
physical limitations of current sensing systems combined with inherently
high Nyquist rates impose a performance brick wall to a large class of
important and emerging applications. In digital image and video cameras,
for instance, the Nyquist rate is so high that too many samples result,
making compression by algorithm like JPEG or MPEG a necessity prior to
storage or transmission. In imaging systems (medical scanners and
radars) and high-speed analog-to-digital converters, increasing the
sampling rate is very expensive or detrimental to a patient's health.
This talk will overview the recent work on compressive sensing, a new
approach to data acquisition in which analog signals are digitized for
processing not via uniform sampling but via measurements using more
general, even random, test functions. In stark contrast with
conventional wisdom, the new theory asserts that one can combine
"low-rate sampling" with digital computational power for efficient and
accurate signal acquisition. Compressive sensing systems directly
translate analog data into a compressed digital form; all we need to do
is "decompress" the measured data through an optimization on a digital
computer. The implications of compressive sensing are promising for many
applications and enable the design of new kinds of analog-to-digital
converters, cameras, and imaging systems.
Short Bio
Richard G. Baraniuk is the Victor E. Cameron
Professor of Electrical and Computer Engineering Department at Rice
University. His research interests lie in new theory, algorithms, and
hardware for sensing and signal processing. His work on the Rice
single-pixel compressive camera has been widely reported in the popular
press and was selected by MIT Technology Review as a TR10 Top 10
Emerging Technology for 2007. He is a Fellow of the IEEE and has
received national young investigator awards from the National Science
Foundation and the Office of Naval Research, the Rosenbaum Fellowship
from the Isaac Newton Institute of Cambridge University, the ECE Young
Alumni Achievement Award from the University of Illinois, and the
Wavelet Pioneer Award from SPIE. He has received the George R. Brown
Award for Superior Teaching at Rice three times and the C. Holmes
MacDonald National Outstanding Teaching Award from Eta Kappa Nu, and was
selected as one of Edutopia Magazine's Daring Dozen Education Innovators
in 2007. His non-profit open-access educational publishing project
Connexions (cnx.org)
was a Tech Museum of Innovation Laureate in 2006.