On frequency estimation from oversampled quantized observations

Author

Händel, Peter ; Host-Madsen, Anders

Author_Institution

Dept. of Signals, Sensors & Syst., R. Inst. of Technol., Stockholm, Sweden

Volume

3

fYear

1999

fDate

15-19 Mar 1999

Firstpage

1549

Abstract

The effect of sampling and quantization on frequency estimation for a single sinusoid is investigated. Asymptotic Cramer-Rao bounds (CRB) for 1-bit quantization and for non-ideal filters are derived, which are simpler to calculate than the exact CRB while still relatively accurate. It is further investigated how many bits should be used in quantization to avoid the problems of 1-bit quantization, and it turns out that 3-4 bits are enough. Finally, oversampled 1-bit quantization is investigated. It is determined how much the signal should be oversampled, and in addition ΣΔ modulators are investigated

Keywords

Butterworth filters; Gaussian noise; frequency estimation; quantisation (signal); sigma-delta modulation; signal sampling; ΣΔ modulators; CRB; asymptotic Cramer-Rao bounds; frequency estimation; nonideal filters; oversampled quantized observations; quantization; sinusoid; Additive noise; Digital filters; Frequency estimation; Gaussian noise; Noise level; Power system modeling; Quantization; Sampling methods; Sensor systems; Signal sampling;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on

Conference_Location

Phoenix, AZ

ISSN

1520-6149

Print_ISBN

0-7803-5041-3

Type

conf

DOI

10.1109/ICASSP.1999.756281

Filename

756281