Name
Abstract | ||
|---|---|---|
In this paper, a new framework is proposed for least-squares localization based on estimated ranges, covering time-difference-of-arrival (TDoA), time-of-arrival (ToA), and received signal strength (RSS) cases. The multidimensional nonlinear localization problem is first transformed to a lower dimension and then solved iteratively. Within the proposed transformed least-squares (TLS) framework, we introduce a method in which the localization problem is transformed to one dimension (1-D). In this way, compared to the classical nonlinear least-squares (NLS) type of methods, the amount of computations in each iteration is greatly reduced; a reduction of 67% for a 3-D positioning system is shown. Hence, the introduced 1-D iterative (1DI) method is fairly light on the computational load. The way to choose the 1-D parameter is proposed, and theoretical expressions for the convergence rate and the root- mean-squared error (RMSE) of the 1DI estimator are derived. Validation is performed mainly based on actual ultra-wideband (UWB) radio measurements, collected in typical office environments, with signal bandwidths varying from 0.5 to 7.5 GHz. Supplementary simulations are also included for validation. Results show that, in terms of RMSE, the 1DI method performs better than the linear least-squares (LLS) method, where the solution is obtained noniteratively, and performs similarly as NLS, especially in TDoA cases. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/TSP.2010.2050313 | IEEE Transactions on Signal Processing |
Keywords | DocType | Volume |
classical nonlinear least-squares,linear least-squares,localization problem,low complexity,high accuracy,ultra-wideband (uwb),multidimensional nonlinear localization problem,ultra-wideband radio measurements,1d iterative method,ultra wideband communication,convergence rate,signal strength,least squares approximations,transformed least-squares framework,time-difference-of-arrival cases,convergence of numerical methods,tdoa case,1-d iterative,low complexity least-squares localization,1-d parameter,new framework,least-squares localization,lower dimension,time-of-arrival estimation,received signal strength cases,root- mean-squared error,iterative methods,time-of-arrival cases,maximum likelihood estimation,time difference of arrival,time of arrival,multidimensional systems,nonlinear least squares,root mean squared error,aerospace engineering,least square,ultra wideband,synchronization,signal processing,root mean square error | Journal | 58 |
Issue | ISSN | Citations |
9 | 1053-587X | 3 |
PageRank | References | Authors |
0.47 | 7 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Junlin Yan | 1 | 20 | 2.87 |
| Christian C. J. M. Tiberius | 2 | 24 | 3.31 |
| Peter J. G. Teunissen | 3 | 24 | 7.51 |
| Giovanni Bellusci | 4 | 20 | 2.87 |
| Gerard J. M. Janssen | 5 | 73 | 19.73 |