Title :
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
fDate :
6/1/1994 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
