# On linear coherent estimation with spatial collaboration

@article{Kar2012OnLC, title={On linear coherent estimation with spatial collaboration}, author={Swarnendu Kar and Pramod K. Varshney}, journal={2012 IEEE International Symposium on Information Theory Proceedings}, year={2012}, pages={1448-1452} }

We consider a power-constrained sensor network, consisting of multiple sensor nodes and a fusion center (FC), that is deployed for the purpose of estimating a common random parameter of interest. In contrast to the distributed framework, the sensor nodes are allowed to update their individual observations by (linearly) combining observations from neighboring nodes. The updated observations are communicated to the FC using an analog amplify-and-forward modulation scheme and through a coherent…

## 28 Citations

### Controlled collaboration for linear coherent estimation in wireless sensor networks

- Computer Science2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)
- 2012

A wireless sensor network consisting of multiple nodes that are coordinated by a fusion center (FC) in order to estimate a common signal of interest is considered, and it is shown that it is always beneficial to sample as frequently as possible, despite the fact that the samples get increasingly noisy due to the power-constrained nature of the problem.

### Optimal power allocation for distributed blue estimation with linear spatial collaboration

- Computer Science2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
- 2014

The main novelty of this paper is the derivation of an optimal power-allocation scheme in which the coefficients used to form linear combinations of noisy observations at the sensors connected to the FC are optimized.

### Wireless Power Transfer for Distributed Estimation in Sensor Networks

- Computer ScienceIEEE Journal of Selected Topics in Signal Processing
- 2017

This paper studies power allocation for distributed estimation of an unknown scalar random source in sensor networks with a multiple-antenna fusion center (FC), where wireless sensors are equipped…

### Optimal Power Allocation for Parameter Tracking in a Distributed Amplify-and-Forward Sensor Network

- Computer ScienceIEEE Transactions on Signal Processing
- 2014

The results of several simulations are presented to show that the use of optimal power control provides a significant reduction in either MSE or transmit power compared with a non-optimized approach.

### Joint Collaboration and Compression Design for Random Signal Detection in Wireless Sensor Networks

- Computer ScienceIEEE Signal Processing Letters
- 2021

This work reformulate and solve the collaboration design problem using quadratically constrained quadratic program (QCQP), and designs near-optimal collaboration and linear compression strategies under power constraints via alternating minimization of the sequential minimum mean square error.

### On optimal sensor collaboration topologies for linear coherent estimation

- Computer Science2014 IEEE International Symposium on Information Theory
- 2014

This work presents a tractable optimization framework and proposes efficient methods to solve the formulated sensor collaboration problems and aims to find optimal sparse collaboration topologies subject to a certain information or energy constraint.

### Optimized Sensor Collaboration for Estimation of Temporally Correlated Parameters

- Computer ScienceIEEE Transactions on Signal Processing
- 2016

This paper addresses the sensor collaboration problem for the estimation of uncorrelated parameters, and shows that the resulting collaboration problem can be transformed into a special nonconvex optimization problem, where a difference of convex functions carries all the non Convexity.

### Distributed Estimation in Large Scale Wireless Sensor Networks via a Two Step Group-based Approach

- Computer Science
- 2022

A clusterbased sensor selection scheme using mutual information prior to estimation to select sensors with maximum relevance and minimum redundancy regarding the parameter of interest under certain pre-specified energy constraint is proposed.

### Distributed Sequential Estimation in Wireless Sensor Networks

- Computer ScienceIEEE Transactions on Wireless Communications
- 2018

A fast block coordinate descent-based method is proposed that incurs very low complexity and yields near-optimal solutions and two fully distributed transceiver design algorithms that make use of the constrained linear minimum MSE machinery are advocated.

### Resource Management for Distributed Estimation via Sparsity-Promoting Regularization

- Computer Science
- 2016

A sparsity-aware optimization framework is presented for the joint design of optimal sensor collaboration and selection schemes, and it is shown that the presence of sensor collaboration smooths out the observation noise, thereby improving the quality of the signal and eventual estimation performance, and there exists a trade-off between sensor selection and sensor collaboration.

## References

SHOWING 1-10 OF 34 REFERENCES

### Power constrained distributed estimation with cluster-based sensor collaboration

- Computer ScienceIEEE Transactions on Wireless Communications
- 2009

It is shown that the optimum collaboration strategy is to compress the data into one local message which, depending on the channel characteristics, is transmitted using one or multiple available channels to the FC.

### Linear Coherent Decentralized Estimation

- Computer ScienceIEEE Transactions on Signal Processing
- 2008

It is shown that when the MAC between sensors and the fusion center is noiseless, the resulting problem has a closed-form solution (which is in sharp contrast to the orthogonal MAC case), while in the noisy MAC case the problem can be efficiently solved by semidefinite programming (SDP).

### Spatial whitening framework for distributed estimation

- Computer Science2011 4th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
- 2011

An adjacency-based spatial whitening scheme, where each sensor exchanges its observation with their neighbors prior to encoding their own private information and transmitting it to the fusion center, is proposed.

### Estimation Diversity and Energy Efficiency in Distributed Sensing

- Computer ScienceIEEE Transactions on Signal Processing
- 2007

It is shown that by turning off bad sensors, i.e., sensors with bad channels and bad observation quality, adaptive power gain can be achieved without sacrificing diversity gain, and some related energy efficiency issues in sensor networks are discussed.

### Universal decentralized estimation in a bandwidth constrained sensor network

- Computer ScienceIEEE Transactions on Information Theory
- 2005

This correspondence investigates optimal local estimation and final fusion schemes under the constraint that the communication from each sensor to the fusion center must be a one-bit message.

### Distributed MMSE Relay Strategies for Wireless Sensor Networks

- Computer Science, BusinessIEEE Transactions on Signal Processing
- 2007

This paper proposes and study two-hop multisensor relay strategies that achieve minimum mean-square-error (MSE) performance subject to either local or global power constraints.

### Distributed Estimation in Energy-Constrained Wireless Sensor Networks

- Computer Science, EngineeringIEEE Transactions on Signal Processing
- 2009

The theoretical energy-distortion performance bound for distributed estimation of a noise-corrupted deterministic parameter in energy-constrained wireless sensor networks is addressed and it is shown that the proposed algorithm is quasi-optimal within a factor 2 of the theoretical lower bound.

### Collaborative-Relay Beamforming With Perfect CSI: Optimum and Distributed Implementation

- Computer ScienceIEEE Signal Processing Letters
- 2009

This letter shows that the optimal collaborative-relay beamforming (CRB) solution achieves the full diversity of a MISO antenna system and develops a distributed algorithm that allows each individual relay to learn its own weight, based on the Karush-Kuhn-Tucker (KKT) analysis.

### Cooperative Transmission for Relay Networks Based on Second-Order Statistics of Channel State Information

- Computer ScienceIEEE Transactions on Signal Processing
- 2011

It is shown that the semidefinite programming (SDP) relaxation of the original problem always has a rank one solution, and hence the original issue is equivalent to finding theRank one solution of the SDP problem.

### Distributed Beamforming for Relay Networks Based on Second-Order Statistics of the Channel State Information

- Computer ScienceIEEE Transactions on Signal Processing
- 2008

It is shown that using semidefinite relaxation, the problem of distributed beamforming is considered for a wireless network which consists of a transmitter, a receiver, and relay nodes and is efficiently solved using interior point methods.