A zero crossing algorithm for the estimation of the frequency of a single sinusoid in white noise

Author

Friedman, Vladimir

Author_Institution

AT&T Bell Labs., Middletown, NJ, USA

Volume

42

Issue

6

fYear

1994

fDate

6/1/1994 12:00:00 AM

Firstpage

1565

Lastpage

1569

Abstract

Presents a new algorithm for the estimation of the frequency of a single sinusoid in white noise, based on the computation of the interval between zero crossings. It is shown that for a high signal-to-noise ratio, the output error spectrum is concentrated in the high-frequency region. Theoretically, the desired precision can be achieved using a proper low-pass filter. The spectrum of the error due to the interpolation of the zero crossing is computed. Simulation results show that a precision of 10^-7-10^-8 can be obtained with modest computational effort

Keywords

filtering and prediction theory; interpolation; low-pass filters; parameter estimation; spectral analysis; white noise; frequency estimation; high signal-to-noise ratio; high-frequency region; interpolation; low-pass filter; output error spectrum; simulation results; single sinusoid; white noise; zero crossing algorithm; Computational modeling; Frequency estimation; Interpolation; Low pass filters; Probability distribution; Sampling methods; Signal sampling; Signal to noise ratio; Singular value decomposition; White noise;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.286978

Filename

286978