RUS  ENG
Full version
JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 2003 Volume 39, Issue 4, Pages 41–62 (Mi ppi315)

This article is cited in 4 papers

Methods of Signal Processing

On Some Singularities in Problems of Parameter Estimation

Sh. Amaria, M. V. Burnashevb

a RIKEN Brain Science Institute
b Institute for Information Transmission Problems, Russian Academy of Sciences

Abstract: Assume that there are two identical remote objects and we want to estimate the distance to the closest of them and the distance between objects. For that purpose, some device (like a radar) is used, and the observed signal is the sum of signals reflected by each object. Moreover, the observed signal is corrupted by white Gaussian noise. Singularity (i.e., very poor estimation accuracy) occurs in this problem if objects are very close to each other. Our aim is to demonstrate this inevitable singularity by the example of the maximum likelihood estimate and also to show that it takes place for any other estimate.

UDC: 621.391.1:519.2

Received: 17.12.2002


 English version:
Problems of Information Transmission, 2003, 39:4, 352–372

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024