Abstract
We concentrate on an ad hoc network model with nodes on integer lattice points over a 2D plane. We examine the limits of ad hoc network performance for systems with antenna arrays capable of allowing both spatial multiplexing and directional processing. Two cases are considered. In the first case, we consider "perfect" directional antenna arrays, in other words, each node can form beams of infinitesimally narrow beamwidth. In this case, the throughput capacity of an ad hoc network is independent of the network size. In the second case, we consider a more practical system where each node can form a fixed number of beams of finite beamwidth. Our results show that the spatial multiplexing gains depend on the system size, antenna beamwidth, and number of antenna beams. Furthermore, we show that spatial multiplexing gains offsetting the interference-related performance degradation can be achieved in ad hoc networks with thousands of nodes.
Highlights
The application of multiple antennas at both the transmitter and receiver sides of a wireless system for the purpose of spatial multiplexing [1, 2] has been shown to have the potential of achieving extraordinary bit rates
We show that in this case the uniform throughput is bounded from above by a quantity, that is proportional to Wg, and for larger network sizes, proportional to l /√n, where l is the average of the longest g hops possible from a given node without interference
We analyzed the throughput of ad hoc networks with nodes located on a square lattice with periodic boundary conditions
Summary
The application of multiple antennas at both the transmitter and receiver sides of a wireless system for the purpose of spatial multiplexing ( put, spatial multiplexing in this context means making use of multiple paths distinct in physical space to deliver information from a source to the corresponding destination) [1, 2] has been shown to have the potential of achieving extraordinary bit rates As a result, this topic has received significant study recently [3,4,5,6,7,8,9,10]. The result is that, the degradation of performance due to interference is still present for the finite beamwidth case, the spatial multiplexing allows one to “postpone” the throughput from falling below W (which is what the throughput would be for just a single source-destination pair) until fairly large network sizes (thousands of nodes for beamwidth of about 10 degrees and no more than 10 beams) which makes practically large network sizes entirely feasible.
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