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2007•Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering UniversityRequires access

Cramer-Rao lower bound for the resolution of UWB ranging/imaging system

Qinyu Zhang

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Abstract

This paper analyzed the resolution of ultra wideband(UWB) ranging/imaging system based on the parameter estimation theory.The structure and features of DS-UWB were presented,which was advised to be applied for ranging/imaging. The evaluation algorithms of Cramer-Rao inequality and Fisher information in parameter estimation were introduced.The Cramer-Rao lower bound formula of UWB ranging/imaging system resolution was developed.The simulation results show that the decrease of the impulse duration time and the increase of the SNR help improve the resolution,which gives a theoretical explanation why the impulse has high resolution.

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What this paper is about

This paper analyzed the resolution of ultra wideband(UWB) ranging/imaging system based on the parameter estimation theory.The structure and features of DS-UWB were presented,which was advised to be applied for ranging/imaging. The evaluation algorithms of Cramer-Rao inequality and Fisher information in parameter estimation were introduced.The Cramer-Rao lower bound formula of UWB ranging/imaging system resolution was developed.The simulation results show that the decrease of the impulse duration time and the increase of the SNR help improve the resolution,which gives a theoretical explanation why the impulse has high resolution.

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Available abstract

This paper analyzed the resolution of ultra wideband(UWB) ranging/imaging system based on the parameter estimation theory.The structure and features of DS-UWB were presented,which was advised to be applied for ranging/imaging. The evaluation algorithms of Cramer-Rao inequality and Fisher information in parameter estimation were introduced.The Cramer-Rao lower bound formula of UWB ranging/imaging system resolution was developed.The simulation results show that the decrease of the impulse duration time and the increase of the SNR help improve the resolution,which gives a theoretical explanation why the impulse has high resolution.

Key concepts: Ranging, Cramér–Rao bound, Impulse (physics), Resolution (logic), Upper and lower bounds, Impulse radio, Ultra-wideband, Algorithm

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