Transmission and Reception with Multiple Antennas presents a comprehensive, yet compact, survey, emphasizing the mathematical aspects of single-user multiple-antenna theory. Wireless communication system design was until recently thought to have been limited in practice by time and bandwidth. The discovery that space, obtained by increasing the number of transmit and receive antennas, can also effectively generate degrees of freedom, and hence expand the range of choices made available to the design offers system designers important new opportunities.

It describes the channel models deployed in such systems shows how to compute the capacities achieved, overviews ""space-time"" codes and describes how suboptimum architectures can be employed to simplify the receiver. It provides an excellent overview for designers, students and researchers working at the forefront of wireless communication systems.

Random-Set Theory and Wireless Communications is an important and comprehensive survey of how to use Random Set Theory in the design of future wireless communication systems.

This monograph is devoted to random-set theory, which allows unordered collections of random elements, drawn from an arbitrary space, to be handled. After illustrating its foundations, the authors focus on Random Finite Sets, i.e., unordered collections of random cardinality of points from an arbitrary space, and show how this theory can be applied to a number of problems arising in wireless communication systems. Three of these problems are:
  • (1) Neighbour discovery in wireless networks.
  • (2) Multiuser detection in which the number of active users is unknown and time-varying.
  • (3) Estimation of multipath channels where the number of paths is not known a priori and which are possibly time-varying.

    • Standard solutions to these problems are intrinsically suboptimum as they proceed either by assuming a fixed number of vector components, or by first estimating this number and then the values taken on by the components. It is shown how random-set theory provides optimum solutions to all these problems. The complexity issue is also examined, and suboptimum solutions are presented and discussed.