Name
Title | ||
|---|---|---|
On the asymptotic performance analysis of subspace DOA estimation in the presence of modeling errors: case of MUSIC |
Abstract | ||
|---|---|---|
This paper provides a new analytic expression of the bias and RMS error (root mean square) error of the estimated direction of arrival (DOA) in the presence of modeling errors. In , first-order approximations of the RMS error are derived, which are accurate for small enough perturbations. However, the previously available expressions are not able to capture the behavior of the estimation algorithm into the threshold region. In order to fill this gap, we provide a second-order performance analysis, which is valid in a larger interval of modeling errors. To this end, it is shown that the DOA estimation error for each signal source can be expressed as a ratio of Hermitian forms, with a stochastic vector containing the modeling error. Then, an analytic expression for the moments of such a Hermitian forms ratio is provided. Finally, a closed-form expression for the performance (bias and RMS error) is derived. Simulation results indicate that the new result is accurate into the region where the algorithm breaks down. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1109/TSP.2005.861798 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
hermitian forms ratio,asymptotic performance analysis,hermitian form,available expression,new analytic expression,closed-form expression,subspace doa estimation,modeling error,analytic expression,rms error,estimation algorithm,doa estimation error,computer aided software engineering,hermitian matrices,calibration,stochastic processes,multiple signal classification,music,first order,random variables,second order,direction of arrival,closed form solution,root mean square,root mean square error,model error | Subspace topology,Control theory,Direction of arrival,Algorithm,Mean squared error,Root mean square,Root-mean-square deviation,Estimation theory,Statistics,Hermitian matrix,Asymptotic analysis,Mathematics | Journal |
Volume | Issue | ISSN |
54 | 3 | 1053-587X |
Citations | PageRank | References |
35 | 1.60 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Ferreol | 1 | 305 | 25.51 |
| Pascal Larzabal | 2 | 535 | 64.76 |
| M. Viberg | 3 | 917 | 188.13 |