Optimal Asymmetric Binary Quantization for Estimation Under Symmetrically Distributed Noise

Author

Farias, Rodrigo Cabral ; Moisan, E. ; Brossier, Jean-Marc

Author_Institution

Dept. of Images & Signals, Grenoble Lab. of Images, Speech, Signal & Automatics, St. Martin d´Hères, France

Volume

21

Issue

5

fYear

2014

fDate

May-14

Firstpage

523

Lastpage

526

Abstract

Estimation of a location parameter based on noisy and binary quantized measurements is considered in this letter. We study the behavior of the Cramér-Rao bound as a function of the quantizer threshold for different symmetric unimodal noise distributions. We show that, in some cases, the intuitive choice of threshold position given by the symmetry of the problem, placing the threshold on the true parameter value, can lead to locally worst estimation performance.

Keywords

parameter estimation; quantisation (signal); Cramér-Rao bound; binary quantized measurements; location parameter estimation; optimal asymmetric binary quantization; quantizer threshold function; symmetric unimodal noise distributions; symmetrically distributed noise estimation; threshold position; true parameter value; Gaussian distribution; Loss measurement; Maximum likelihood estimation; Noise; Quantization (signal); Sensors; Parameter estimation; quantization;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2014.2308419

Filename

6747960