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Capacity Limits of Wireless Channels with Multiple Antennas:
Challenges, Insights, and New Mathematical Methods
Andrea Goldsmith,
Department of Electrical Engineering, Stanford University:
Thursday April 24 4:30 pm, Rutgers University, CoRE Building 431:
Wireless systems of the future must support ubiquitous multimedia
communications between people as well as devices. There are many
research challenges associated with such systems, including limited
bandwidth, random variations in the wireless channel, and battery
constrants in small radio transceivers. Many of these challenges can be
overcome with multiple antennas at the transmitters and receivers of
the wireless network, since these antennas both increase data rate
and reduce channel randomness. However, traditional methods for
determining
Shannon capacity fail for channels with multiple antennas, especially
when there are multiple users, channel variations over time, or channel
memory.
We present several new mathematical techniques to study Shannon capacity
of multiantenna wireless channels with these properties, including
duality, dirty paper coding, and Lyapunov exponents for products of
random matrices. These techniques not only provide solutions to
open problems in Shannon capacity, but also yield much insight into
the optimal transmission strategies that achieve these capacity limits.
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