72 research outputs found
A Fast-CSMA Algorithm for Deadline-Constrained Scheduling over Wireless Fading Channels
Recently, low-complexity and distributed Carrier Sense Multiple Access
(CSMA)-based scheduling algorithms have attracted extensive interest due to
their throughput-optimal characteristics in general network topologies.
However, these algorithms are not well-suited for serving real-time traffic
under time-varying channel conditions for two reasons: (1) the mixing time of
the underlying CSMA Markov Chain grows with the size of the network, which, for
large networks, generates unacceptable delay for deadline-constrained traffic;
(2) since the dynamic CSMA parameters are influenced by the arrival and channel
state processes, the underlying CSMA Markov Chain may not converge to a
steady-state under strict deadline constraints and fading channel conditions.
In this paper, we attack the problem of distributed scheduling for serving
real-time traffic over time-varying channels. Specifically, we consider
fully-connected topologies with independently fading channels (which can model
cellular networks) in which flows with short-term deadline constraints and
long-term drop rate requirements are served. To that end, we first characterize
the maximal set of satisfiable arrival processes for this system and, then,
propose a Fast-CSMA (FCSMA) policy that is shown to be optimal in supporting
any real-time traffic that is within the maximal satisfiable set. These
theoretical results are further validated through simulations to demonstrate
the relative efficiency of the FCSMA policy compared to some of the existing
CSMA-based algorithms.Comment: This work appears in workshop on Resource Allocation and Cooperation
in Wireless Networks (RAWNET), Princeton, NJ, May, 201
Proactive Resource Allocation: Harnessing the Diversity and Multicast Gains
This paper introduces the novel concept of proactive resource allocation
through which the predictability of user behavior is exploited to balance the
wireless traffic over time, and hence, significantly reduce the bandwidth
required to achieve a given blocking/outage probability. We start with a simple
model in which the smart wireless devices are assumed to predict the arrival of
new requests and submit them to the network T time slots in advance. Using
tools from large deviation theory, we quantify the resulting prediction
diversity gain} to establish that the decay rate of the outage event
probabilities increases with the prediction duration T. This model is then
generalized to incorporate the effect of the randomness in the prediction
look-ahead time T. Remarkably, we also show that, in the cognitive networking
scenario, the appropriate use of proactive resource allocation by the primary
users improves the diversity gain of the secondary network at no cost in the
primary network diversity. We also shed lights on multicasting with predictable
demands and show that the proactive multicast networks can achieve a
significantly higher diversity gain that scales super-linearly with T. Finally,
we conclude by a discussion of the new research questions posed under the
umbrella of the proposed proactive (non-causal) wireless networking framework
On Resource Allocation in Fading Multiple Access Channels - An Efficient Approximate Projection Approach
We consider the problem of rate and power allocation in a multiple-access
channel. Our objective is to obtain rate and power allocation policies that
maximize a general concave utility function of average transmission rates on
the information theoretic capacity region of the multiple-access channel. Our
policies does not require queue-length information. We consider several
different scenarios. First, we address the utility maximization problem in a
nonfading channel to obtain the optimal operating rates, and present an
iterative gradient projection algorithm that uses approximate projection. By
exploiting the polymatroid structure of the capacity region, we show that the
approximate projection can be implemented in time polynomial in the number of
users. Second, we consider resource allocation in a fading channel. Optimal
rate and power allocation policies are presented for the case that power
control is possible and channel statistics are available. For the case that
transmission power is fixed and channel statistics are unknown, we propose a
greedy rate allocation policy and provide bounds on the performance difference
of this policy and the optimal policy in terms of channel variations and
structure of the utility function. We present numerical results that
demonstrate superior convergence rate performance for the greedy policy
compared to queue-length based policies. In order to reduce the computational
complexity of the greedy policy, we present approximate rate allocation
policies which track the greedy policy within a certain neighborhood that is
characterized in terms of the speed of fading.Comment: 32 pages, Submitted to IEEE Trans. on Information Theor
‘Codes are not enough…’: a report of ongoing research
We consider the problem of rate allocation in a fading Gaussian
multiple-access channel (MAC) with fixed transmission powers. Our goal is to
maximize a general concave utility function of transmission rates over the
throughput capacity region. In contrast to earlier works in this context that
propose solutions where a potentially complex optimization problem must be
solved in every decision instant, we propose a low-complexity approximate rate
allocation policy and analyze the effect of temporal channel variations on its
utility performance. To the best of our knowledge, this is the first work that
studies the tracking capabilities of an approximate rate allocation scheme
under fading channel conditions. We build on an earlier work to present a new
rate allocation policy for a fading MAC that implements a low-complexity
approximate gradient projection iteration for each channel measurement, and
explicitly characterize the effect of the speed of temporal channel variations
on the tracking neighborhood of our policy. We further improve our results by
proposing an alternative rate allocation policy for which tighter bounds on the
size of the tracking neighborhood are derived. These proposed rate allocation
policies are computationally efficient in our setting since they implement a
single gradient projection iteration per channel measurement and each such
iteration relies on approximate projections which has polynomial-complexity in
the number of users.Comment: 9 pages, In proc. of ITA 200
Scheduling with Rate Adaptation under Incomplete Knowledge of Channel/Estimator Statistics
In time-varying wireless networks, the states of the communication channels
are subject to random variations, and hence need to be estimated for efficient
rate adaptation and scheduling. The estimation mechanism possesses inaccuracies
that need to be tackled in a probabilistic framework. In this work, we study
scheduling with rate adaptation in single-hop queueing networks under two
levels of channel uncertainty: when the channel estimates are inaccurate but
complete knowledge of the channel/estimator joint statistics is available at
the scheduler; and when the knowledge of the joint statistics is incomplete. In
the former case, we characterize the network stability region and show that a
maximum-weight type scheduling policy is throughput-optimal. In the latter
case, we propose a joint channel statistics learning - scheduling policy. With
an associated trade-off in average packet delay and convergence time, the
proposed policy has a stability region arbitrarily close to the stability
region of the network under full knowledge of channel/estimator joint
statistics.Comment: 48th Allerton Conference on Communication, Control, and Computing,
Monticello, IL, Sept. 201
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