A least square approach for distributed sensor fusion in bandwidth-constrained sensor networks

In this paper, we consider a simple model of distributed sensor fusion problem in sensor networks with asymmetric links, where the common goal is linear parameter estimation. For the realistic scenario of bandwidth-constrained networks, we propose a least square approach, based on distributed quantized consensus algorithms, to compute the ideal centralized sample mean estimate. Analytical results show that the proposed approach is effective in smearing out the quantization errors, and outperforms the centralized approaches with respect to the estimation performance. Simulation results are provided to validate the analytical results.

[1]  Lihua Xie,et al.  Distributed Consensus With Limited Communication Data Rate , 2011, IEEE Transactions on Automatic Control.

[2]  Zhi-Quan Luo,et al.  Decentralized estimation in an inhomogeneous sensing environment , 2005, IEEE Transactions on Information Theory.

[3]  Ruggero Carli,et al.  Gossip consensus algorithms via quantized communication , 2009, Autom..

[4]  Michael Gil,et al.  Estimate for the norm of matrix-valued functions , 1993 .

[5]  Lihua Xie,et al.  Distributed Parameter Estimation With Quantized Communication via Running Average , 2014, IEEE Transactions on Signal Processing.

[6]  Alejandro Ribeiro,et al.  Bandwidth-constrained distributed estimation for wireless sensor networks-part II: unknown probability density function , 2006, IEEE Transactions on Signal Processing.

[7]  Jun Fang,et al.  An adaptive quantization scheme for distributed consensus , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[8]  P. Henrici Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices , 1962 .

[9]  Walid Hachem,et al.  Analysis of Sum-Weight-Like Algorithms for Averaging in Wireless Sensor Networks , 2012, IEEE Transactions on Signal Processing.

[10]  Ji Liu,et al.  Design and analysis of distributed averaging with quantized communication , 2014, 53rd IEEE Conference on Decision and Control.

[11]  Michael G. Rabbat,et al.  Broadcast Gossip Algorithms for Consensus on Strongly Connected Digraphs , 2012, IEEE Transactions on Signal Processing.

[12]  Sailes K. Sengijpta Fundamentals of Statistical Signal Processing: Estimation Theory , 1995 .

[13]  Jun Fang,et al.  Distributed Consensus With Quantized Data via Sequence Averaging , 2010, IEEE Transactions on Signal Processing.

[14]  Kai Cai,et al.  Average consensus on general strongly connected digraphs , 2012, Autom..

[15]  Ali H. Sayed,et al.  Diffusion strategies for adaptation and learning over networks: an examination of distributed strategies and network behavior , 2013, IEEE Signal Processing Magazine.

[16]  T. C. Aysal,et al.  Distributed Average Consensus With Dithered Quantization , 2008, IEEE Transactions on Signal Processing.

[17]  Soummya Kar,et al.  Distributed Consensus Algorithms in Sensor Networks: Quantized Data and Random Link Failures , 2007, IEEE Transactions on Signal Processing.

[18]  M Franceschelli,et al.  Distributed Averaging in Sensor Networks Based on Broadcast Gossip Algorithms , 2011, IEEE Sensors Journal.