CRLB and ML for parametric estimate: new results

Authors:
A. Farina;A. Di Lallo;L. Timmoneri;T. Volpi;B. Ristic
Affiliations:
SELEX SI, Via Tiburtina, Rome, Italy;SELEX SI, Via Tiburtina, Rome, Italy;SELEX SI, Via Tiburtina, Rome, Italy;SELEX SI, Via Tiburtina, Rome, Italy;DSTO, ISR division, Edinburgh, SA, Australia
Venue:
Signal Processing
Year:
2006

Citing 3
Cited 1

Fundamentals of statistical signal processing: estimation theory

Fundamentals of statistical signal processing: estimation theory
Target tracking with bearings — only measurements

Signal Processing
A comparison of two Crame´r-Rao bounds for nonlinear filtering with Pd

IEEE Transactions on Signal Processing

Real-time 3D ball trajectory estimation for RoboCup middle size league using a single camera

Robot Soccer World Cup XV

Quantified Score

Hi-index	0.08

Visualization

Abstract

In the present paper, we calculate the Cramér-Rao Lower Bound (CRLB) for the Pd Pfa 0 case, accounting both for missed detections and false alarms, for an estimation problem in a surveillance system where the measurements are acquired by a radar. The analysis, which is limited to the parameter estimation for a deterministic steady-state target motion, is a further innovation in the computation of the CRLB of maximum likelihood estimators for deterministic steady-state models; in fact, the classical theory applies only in the unrealistic case of Pd = 1 and Pfa = 0. The results obtained by means of a Monte Carlo simulation successfully validate our extended enhanced estimation method.