Capacity bounds for large scale wireless ad hoc networks under Gaussian channel model

We study the capacity for both random and arbitrary wireless networks under Gaussian Channel model when all wireless nodes have the same constant transmission power P. During the transmission, the power decays along path with attenuation exponent beta > 2. We consider extended networks, where n wireless nodes {v
₁
, v
₂
,hellip, v
_n
} are randomly or arbitrarily distributed in a square region B
_a
with side-length a. We randomly choose n
_s
multicast sessions. For each source node v
_i
, we randomly select k points p
_i,j
(1 les j les k) in B
_a
and the node which is closest to p
_i,j
will serve as a destination node of v
_i
. We derive the achievable upper bounds on unicast capacity and an upper bound (partially achievable) on multicast capacity of the wireless networks under Gaussian Channel model. We found that the unicast (multicast) capacity for wireless networks under Gaussian Channel model has three regimes.