40 research outputs found
Fusing Multiple Multiband Images
We consider the problem of fusing an arbitrary number of multiband, i.e.,
panchromatic, multispectral, or hyperspectral, images belonging to the same
scene. We use the well-known forward observation and linear mixture models with
Gaussian perturbations to formulate the maximum-likelihood estimator of the
endmember abundance matrix of the fused image. We calculate the Fisher
information matrix for this estimator and examine the conditions for the
uniqueness of the estimator. We use a vector total-variation penalty term
together with nonnegativity and sum-to-one constraints on the endmember
abundances to regularize the derived maximum-likelihood estimation problem. The
regularization facilitates exploiting the prior knowledge that natural images
are mostly composed of piecewise smooth regions with limited abrupt changes,
i.e., edges, as well as coping with potential ill-posedness of the fusion
problem. We solve the resultant convex optimization problem using the
alternating direction method of multipliers. We utilize the circular
convolution theorem in conjunction with the fast Fourier transform to alleviate
the computational complexity of the proposed algorithm. Experiments with
multiband images constructed from real hyperspectral datasets reveal the
superior performance of the proposed algorithm in comparison with the
state-of-the-art algorithms, which need to be used in tandem to fuse more than
two multiband images
Performance Analysis of Linear-Equality-Constrained Least-Squares Estimation
We analyze the performance of a linear-equality-constrained least-squares
(CLS) algorithm and its relaxed version, called rCLS, that is obtained via the
method of weighting. The rCLS algorithm solves an unconstrained least-squares
problem that is augmented by incorporating a weighted form of the linear
constraints. As a result, unlike the CLS algorithm, the rCLS algorithm is
amenable to our approach to performance analysis presented here, which is akin
to the energy-conservation-based methodology. Therefore, we initially inspect
the convergence properties and evaluate the precision of estimation as well as
satisfaction of the constraints for the rCLS algorithm in both mean and
mean-square senses. Afterwards, we examine the performance of the CLS algorithm
by evaluating the limiting performance of the rCLS algorithm as the relaxation
parameter (weight) approaches infinity. Numerical examples verify the accuracy
of the theoretical findings
Multi-mode Tracking of a Group of Mobile Agents
We consider the problem of tracking a group of mobile nodes with limited
available computational and energy resources given noisy RSSI measurements and
position estimates from group members. The multilateration solutions are known
for energy efficiency. However, these solutions are not directly applicable to
dynamic grouping scenarios where neighbourhoods and resource availability may
frequently change. Existing algorithms such as cluster-based GPS duty-cycling,
individual-based tracking, and multilateration-based tracking can only
partially deal with the challenges of dynamic grouping scenarios. To cope with
these challenges in an effective manner, we propose a new group-based
multi-mode tracking algorithm. The proposed algorithm takes the topological
structure of the group as well as the availability of the resources into
consideration and decides the best solution at any particular time instance. We
consider a clustering approach where a cluster head coordinates the usage of
resources among the cluster members. We evaluate the energy-accuracy trade-off
of the proposed algorithm for various fixed sampling intervals. The evaluation
is based on the 2D position tracks of 40 nodes generated using Reynolds'
flocking model. For a given energy budget, the proposed algorithm reduces the
mean tracking error by up to in comparison to the existing
energy-efficient cooperative algorithms. Moreover, the proposed algorithm is as
accurate as the individual-based tracking while using almost half the energy.Comment: Accepted for publication in the 20th international symposium on
wireless personal multimedia communications (WPMC-2017
RSSI-Based Self-Localization with Perturbed Anchor Positions
We consider the problem of self-localization by a resource-constrained mobile
node given perturbed anchor position information and distance estimates from
the anchor nodes. We consider normally-distributed noise in anchor position
information. The distance estimates are based on the log-normal shadowing
path-loss model for the RSSI measurements. The available solutions to this
problem are based on complex and iterative optimization techniques such as
semidefinite programming or second-order cone programming, which are not
suitable for resource-constrained environments. In this paper, we propose a
closed-form weighted least-squares solution. We calculate the weights by taking
into account the statistical properties of the perturbations in both RSSI and
anchor position information. We also estimate the bias of the proposed solution
and subtract it from the proposed solution. We evaluate the performance of the
proposed algorithm considering a set of arbitrary network topologies in
comparison to an existing algorithm that is based on a similar approach but
only accounts for perturbations in the RSSI measurements. We also compare the
results with the corresponding Cramer-Rao lower bound. Our experimental
evaluation shows that the proposed algorithm can substantially improve the
localization performance in terms of both root mean square error and bias.Comment: Accepted for publication in 28th Annual IEEE International Symposium
on Personal, Indoor and Mobile Radio Communications (IEEE PIMRC 2017