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24 May 2011 Single-node MMSE for MMSE cooperative positioning
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Abstract
We proposed in our previous work an iterative minimum-mean-square-error (MMSE) cooperative positioning algorithm. MMSE cooperative positioning method achieves better root-mean-square-error (RMSE) performance than existing classical estimators. And it is implemented in an iterative pattern so as to circumvent the intense computation burden of the numerical multiple integral computation methods. The basis of the proposed iterative MMSE method is the single-node MMSE, which is actually the special case of the MMSE cooperative method when the number of node N being 1. In this work, we study the properties of the single-node MMSE and accordingly propose three variants of the original algorithm to improve the performance. The single-node MMSE and its variants can also be used to produce initial position estimation for the maximum likelihood estimator (MLE), one of the most popular existing classical estimators, and achieve almost the same performance as using true positions as the initial positions.
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Songnan Xi, Michael D. Zoltowski, Yao Zhao, and Liang Dong "Single-node MMSE for MMSE cooperative positioning", Proc. SPIE 8061, Wireless Sensing, Localization, and Processing VI, 80610D (24 May 2011); https://doi.org/10.1117/12.882845
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