Skip to Main content Skip to Navigation
Conference papers

Performance Analysis for Sparse Biased Estimator : Application to Line Spectra Analysis

Abstract : Dictionary based sparse estimators are based on the matching of continuous parameters of interest to a discretized sampling grid. Generally, the parameters of interest do not lie on this grid and there exists an estimator bias even at high Signal to Noise Ratio (SNR). This is the off-grid problem. In this work, we propose and study analytical expressions of the Bayesian Mean Square Error (BMSE) of dictionary based biased estimators at high SNR. We also show that this class of estimators is efficient and thus reaches the Bayesian Cramér-Rao Bound (BCRB) at high SNR. The proposed results are illustrated in the context of line spectra analysis and several popular sparse estimators are compared to our closed-form expressions of the BMSE.
Document type :
Conference papers
Complete list of metadata

Cited literature [12 references]  Display  Hide  Download
Contributor : Remy Boyer Connect in order to contact the contributor
Submitted on : Wednesday, June 11, 2014 - 7:17:19 PM
Last modification on : Saturday, January 15, 2022 - 3:55:35 AM
Long-term archiving on: : Thursday, September 11, 2014 - 12:56:00 PM


Files produced by the author(s)


Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License


  • HAL Id : hal-01005004, version 1


Stéphanie Bernhardt, Remy Boyer, Bo Zhang, Sylvie Marcos, Pascal Larzabal. Performance Analysis for Sparse Biased Estimator : Application to Line Spectra Analysis. Sensor Array Multichannel Workshop - invited article, Jun 2014, A Coruña, Spain. 4 p. ⟨hal-01005004⟩



Les métriques sont temporairement indisponibles