Analysis and Interpretation of the Cramér-Rao Lower-Bound in Astrometry: One-Dimensional Case
نویسندگان
چکیده
منابع مشابه
Autonomous Positioning Techniques Based on Cramér-Rao Lower Bound Analysis
We consider the problem of autonomously locating a number of asynchronous sensor nodes in a wireless network. A strong focus lies on reducing the processing resources needed to solve the relative positioning problem, an issue of great interest in resourceconstrained wireless sensor networks. In the first part of the paper, based on a well-known derivation of the Cramér-Rao lower bound for the a...
متن کاملOn the Cramér-Rao lower bound under model mismatch
Cramér-Rao lower bounds (CRLBs) are proposed for deterministic parameter estimation under model mismatch conditions where the assumed data model used in the design of the estimators differs from the true data model. The proposed CRLBs are defined for the family of estimators that may have a specified bias (gradient) with respect to the assumed model. The resulting CRLBs are calculated for a lin...
متن کاملBiased Cramér-Rao lower bound calculations for inequality-constrained estimators.
Unbiased Cramér-Rao lower bound (CRB) theory can be used to calculate lower bounds to the variances of unbiased estimates of a set of parameters given only the probability density function of a random vector conditioned on the true parameter values. However, when the estimated parameter values are required to satisfy inequality constraints such as positivity, the resulting estimator is typicall...
متن کاملCoarrays, MUSIC, and the Cramér-Rao Bound
Sparse linear arrays, such as co-prime arrays and nested arrays, have the attractive capability of providing enhanced degrees of freedom. By exploiting the coarray structure, an augmented sample covariance matrix can be constructed and MUSIC (MUtiple SIgnal Classification) can be applied to identify more sources than the number of sensors. While such a MUSIC algorithm works quite well, its perf...
متن کاملCramér-Rao bound analysis of positioning approaches in GNSS receivers
Recently, Direct Position Estimation (DPE) has arisen as a potential approach to deal with the positioning problem in Global Navigation Satellite System receivers. The conventional navigation solution is obtained in two steps: synchronization parameters are estimated and then a trilateration procedure is in charge of computing user’s position, based on those parameters. In contrast, DPE estimat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Publications of the Astronomical Society of the Pacific
سال: 2013
ISSN: 0004-6280,1538-3873
DOI: 10.1086/671126