2009
DOI: 10.1109/tsp.2009.2016226
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Distributed LMS for Consensus-Based In-Network Adaptive Processing

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Cited by 326 publications
(223 citation statements)
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“…where Pr(g i−1 ) is a priori probability and where the probability Pr(g i (l) | g i−1 (l)) is determined by (23). Note that for a static network, the transition probability p n,m is independent of i, i.e., the Markov chain is homogeneous [62].…”
Section: Appendix B Proof Of Theoremmentioning
confidence: 99%
“…where Pr(g i−1 ) is a priori probability and where the probability Pr(g i (l) | g i−1 (l)) is determined by (23). Note that for a static network, the transition probability p n,m is independent of i, i.e., the Markov chain is homogeneous [62].…”
Section: Appendix B Proof Of Theoremmentioning
confidence: 99%
“…Adaptive algorithms based on in-network processing of distributed observations are wellmotivated for online parameter estimation and tracking of (non)stationary signals using peer-to-peer WSNs. To this end, a fully distributed least mean-square (D-LMS) algorithm is developed in (Schizas et al, 2009), offering simplicity and flexibility while solely requiring single-hop communications among sensors. The resultant estimator minimizes a pertinent squared-error cost by resorting to i) the alternating-direction method of multipliers so as to gain the desired degree of parallelization and ii) a stochastic approximation iteration to cope with the time-varying statistics of the process under consideration.…”
Section: Alternating-direction Based Consensusmentioning
confidence: 99%
“…Alternatively, fully distributed strategies [8][9][10][11][12][13] (i.e., without a FC) where the SNs exchange local information iteratively with their neighbors, are shown to be capable of reaching a global optimum decision. Reference [8] adopts the diffusion LMS approach while [10][11][12][13] adopt the distributed consensus algorithm [14].…”
Section: Introductionmentioning
confidence: 99%
“…Reference [8] adopts the diffusion LMS approach while [10][11][12][13] adopt the distributed consensus algorithm [14]. All these works assume ideal exchange of information among the SNs, but as the SNs are battery operated (i.e., limited energy) this assumption is unrealistic.…”
Section: Introductionmentioning
confidence: 99%