Cramér–Rao Lower Bound for Parametric Estimation of Quantized Sinewaves

Author

Moschitta, Antonio ; Carbone, Paolo

Author_Institution

Dipt. di Ingegneria Elettronica e dell´´Informazione, Univ. degli Studi di Perugia

Volume

56

Issue

3

fYear

2007

fDate

6/1/2007 12:00:00 AM

Firstpage

975

Lastpage

982

Abstract

In this paper, the Crameacuter-Rao Lower Bound (CRLB) for the parametric estimation of quantized sinewaves is analyzed, including the effect of analog-to-digital-converter (ADC) noise. An accurate model based on the statistical properties of quantized data is presented, which takes into account both the effects of the finite ADC resolution and of the quantizer overloading phenomena at a low computational cost. Then, the model is validated by comparing the obtained results with the CRLB based on the ADC uniform noise model

Keywords

parameter estimation; quantisation (signal); signal detection; statistical analysis; ADC noise; Cramer-Rao lower bound; analog-to-digital-converter noise; parametric estimation; quantized sinewaves; quantizer overloading phenomena; statistical properties; AWGN; Additive white noise; Computational efficiency; Dynamic range; Gaussian noise; Parameter estimation; Quantization; Signal resolution; Sonar; Testing; Cramér–Rao Lower Bound (CRLB); overloading; quantization; scalar parameter; sinewave parametric estimation; vector parameter;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/TIM.2007.894799

Filename

4201010