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Series in Communication Theory
Edited by Helmut Bölcskei
Vol. 5:
Pedro E.
Coronel,
Diversity-Multiplexing Tradeoff
in Selective-Fading Channels.
1st edition 2009. XX, 146 pages; € 64,00.
ISBN 978-3-86628-251-3
Recent years have seen the proliferation of new
wireless data applications that have fueled the
demand for communication systems capable of delivering
very high quality-of-service (QoS) in terms of data
rate and reliability. At the same time, due to the surge in the number of
wireless devices, the spectrum available for communication has become scarcer,
and the level of interference has increased significantly. The design of
systems satisfying stringent QoS requirements is
therefore a particularly challenging task that requires an accurate
understanding of the ultimate performance of communication over wireless
channels. In fading channels, the diversity-multiplexing (DM) tradeoff framework proposed by Zheng and Tse (2003) has proved to be very helpful in understanding
performance in terms of how rate and reliability interplay in the high SNR
regime. The analysis conducted in this thesis adopts this framework and uses
the notions of diversity and multiplexing to capture, respectively, the
reliability and data rate of the system.
In many situations of practical relevance, the wireless
channel exhibits time and frequency selectivity arising from temporal
variations in the environment and multipath propagation. A direct
characterization of the DM tradeoff in this class of
channels, referred to as selective-fading channels, is in general difficult
because the corresponding mutual information is a sum of correlated random
variables. This thesis presents a technique that bypasses this difficulty
and establishes the optimal DM tradeoff of
selective-fading channels in both the point-to-point case and the
multiple-access (MA) case. The essence of our approach is to study the
"Jensen channel" that is associated with the original channel and
that has the same behavior in the regime of high SNR
relevant to the DM tradeoff framework.
In the point-to-point case, we obtain a code design
criterion that guarantees optimal performance, and we develop a systematic
procedure to construct optimal codes. Our investigation of
selective-fading MA channels yields an interesting conceptual relation between
the DM tradeoff framework and the notion of
dominant error event, which was first introduced in AWGN channels by Gallager (1985). Studying the dominant error event as a
function of the users' rates reveals the existence of operational regimes in
which multiuser interference has only a negligible impact on error performance.
As in the point-to-point case, we obtain a set of code design criteria that
guarantees optimal performance to all users. We finally examine a code
construction which satisfies our criteria for the two-user flat-fading channel.
About the Author
Pedro E. Coronel received the M.Sc. degree from EPF
Lausanne, Switzerland, in 2002. He was an exchange student at KTH Stockholm,
Sweden, in 1999 and studied at the Eur´ecom
Institute, Sophia-Antipolis, France, in 2001. In 2002, Mr. Coronelwas
an intern with the IBM Zurich Research Laboratory, Switzerland, where he worked
on a wireless local area network (WLAN) prototype. He returned to IBM Research
as a pre-doctoral fellow in 2003, pursuing a doctorate at ETH Zurich in
parallel. In 2006, he joined the Communication Technology Laboratory at ETH
Zurich as research assistant. Mr. Coronel received the Dr.
sc. degree from ETH Zurich in 2008.
Keywords:
diversity-multiplexing tradeoff, performance limits
of communication, Jensen channel, wireless communication, selective-fading
channels, point-to-point channels, multiple-access channels, code design
criteria, code construction
Series in Communication
Theory
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