3 research outputs found
Information Theoretic Limits for Wireless Information Transfer Between Finite Spatial Regions
Since the first multiple-input multiple-output (MIMO) experiments
performed at Bell Laboratories in the late 1990’s, it was clear
that wireless communication systems can achieve improved
performances using multiple antennas simultaneously during
transmission and reception. Theoretically, the capacity of MIMO
systems scales linearly with the number of antennas in favorable
propagation conditions. However, the capacity is significantly
reduced when the antennas are collocated.
A generalized paradigm for MIMO systems, spatially distributed
MIMO systems, is proposed as a solution. Spatially distributed
MIMO systems transmit information from a spatial region to
another with each region occupying a large number of antennas.
Hence, for a given constraint on the size of the spatial regions,
evaluating the information theoretic performance limits for
information transfer between regions has been a central topic of
research in wireless communications. This thesis addresses this
problem from a theoretical point of view.
Our approach is to utilize the modal decomposition of the
classical wave equation to represent the spatially distributed
MIMO systems. This modal analysis is particularly useful as it
advocates a shift of the “large wireless networks” research
agenda from seeking “universal” performance limits to seeking
a multi-parameter family of performance limits, where the key
parameters, space, time and frequency are interrelated. However,
traditional performance bounds on spatially distributed MIMO
systems fail to depict the interrelation among space, time and
frequency.
Several outcomes resulting from this thesis are: i) estimation of
an upper bound to degrees of freedom of broadband signals
observed over finite spatial and temporal windows, ii) derivation
of the amount of information that can be captured by a finite
spatial region over a finite bandwidth, iii) a new framework to
illustrate the relationship between Shannon’s capacity and the
spatial channels, iv) a tractable model to determine the
information capacity between spatial regions for narrowband
transmissions. Hence, our proposed approach provides a
generalized theoretical framework to characterize realistic MIMO
and spatially distributed MIMO systems at different frequency
bands in both narrowband and broadband conditions