Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Misspecified CramérRao Bound for Delay Estimation with a Mismatched Waveform: A Case Study
 Institute of Electrical and Electronics Engineers IEEE; IEEE Computer Society; IEEE Signal Processing Society: IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2020. Proceedings : May 48, 2020, Barcelona, Spain Piscataway, NJ: IEEE, 2020 ISBN: 9781509066315 ISBN: 9781509066322 pp.59945998 
 International Conference on Acoustics, Speech and Signal Processing (ICASSP) <45, 2020, Barcelona> 
 FraunhoferGesellschaft FhG 025601128; ATTRACT 

 English 
 Conference Paper 
 Fraunhofer IZFP () 
 CramérRao Bound; Delay Estimation; ultrasound; nondestructive testing 
Abstract
In this paper we investigate the problem of time of arrival estimation which occurs in many realworld applications, such as indoor localization or nondestructive testing via ultrasound or radar. A problem that is often overlooked when analyzing these systems is that in practice, we will typically not have exact information about the waveform / pulse shape. Therefore, there may be a mismatch between the parametric model that is assumed to derive and study the estimators versus the real model we find in practice. Using the framework of mismatched CramerRao Bounds, the deterioration in the achiev´ able accuracy due to this mismatch can be analyzed in detail. This paper contributes to this research direction with a concrete case study, namely, a mismatch in the width of Gaussian pulses that are used for delay estimation. We derive a compact, explicit, closedform expression for the deterioration in the MSE due to the pulse mismatch. The results show that the deterioration is symmetric with respect to over or underestimating the pulse width (by the same factor). These results can provide meaningful insights for system designers. They can be extended to study other parameter mismatches as well, such as the center frequency or a violation of the pulse’s symmetry.