Title :
Passive time delay estimation in non-Gaussian noise
Author :
Messer, Hagit ; Shor, Gadi ; Schultheiss, Peter M.
Author_Institution :
Dept. of Electr. Eng. Syst., Tel Aviv Univ., Israel
fDate :
9/1/1999 12:00:00 AM
Abstract :
This article deals with the structure of the maximum-likelihood (ML) estimator for time delay with arbitrary signal and noise statistics. At high signal-to-noise ratios (SNRs), the ML estimation performs a nonlinear operation on the delayed difference of the two received waveshapes. The required nonlinearity depends only on the noise statistics. At low SNR, a closed-form simple expression for the ML, which depends only on the noise statistics and on the second-order statistics of the signal, is provided. With statistically independent noise processes, the estimator correlates two vectors generated by separate nonlinear operations on the two received waveshapes
Keywords :
delay estimation; maximum likelihood estimation; noise; signal processing; ML estimation; SNR; closed-form expression; delayed difference; high signal-to-noise ratios; low SNR; maximum-likelihood estimator; noise statistics; nonGaussian noise; nonlinear operation; passive time delay estimation; received waveshapes; second-order statistics; signal estimation; statistically independent noise processes; vector correlation; Colored noise; Delay effects; Delay estimation; Detectors; Maximum likelihood estimation; Signal detection; Signal processing algorithms; Signal to noise ratio; Statistics; Wavelet analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
