This thesis explores the optimal node placement for linear Gaussian multiple relay
networks of an arbitrary size and with one source-destination pair. Consider
the the
low attenuation regime (path loss exponent less than 3/2). Under the condition that the
minimum achievable rate from source to destination is maintained, we derive upper
bounds of node placement with the incoherent and coherent coding schemes, and examine
the optimal power assignment related to the node placement with the coherent
coding scheme. We prove that the farthest distance between two adjacent nodes is
bounded even for an infinite total number of relay nodes, and closed-form formulas
of the bounds are derived for both the coding schemes. Furthermore, the distance
from the source to the destination is of the same order as the total number of nodes,
given the path loss exponent greater than one half under the incoherent coding scheme and the path loss exponent greater than 1
with coherent relaying with interference subtraction coding scheme. Conditioned on
a conjecture based on the simulation results, we also provide heuristic upper bounds,
which are a little tighter than the strictly proved bounds. The bounds provided in
this thesis can serve as a helpful guideline for the relay extension problem in practical
network implementation.
| Identifer | oai:union.ndltd.org:WATERLOO/oai:uwspace.uwaterloo.ca:10012/3961 |
| Date | 18 August 2008 |
| Creators | Wang, Suhuan |
| Source Sets | University of Waterloo Electronic Theses Repository |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
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