Maximum-likelihood time delay estimation: a new perspective

• Published in: Conference Record of The Twenty-Ninth Asilomar Conference on Signals, Systems and Computers Vol. 2; pp. 842 - 848 vol.2
• Main Authors: Stuller, J.A., Hubing, N.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 1995
• Subjects: Array signal processing; Delay effects; Delay estimation; Eigenvalues and eigenfunctions; Gaussian noise; Gaussian processes; Karhunen-Loeve transforms; Maximum likelihood estimation; Probability density function; Signal processing
• ISBN: 9780818673702; 0818673702
• ISSN: 1058-6393; 2576-2303
• DOI: 10.1109/ACSSC.1995.540819

This paper introduces a new realization for maximum likelihood time-delay estimation. The new realization illuminates the relationships between maximum likelihood time delay estimation and other methods. We obtain the result by deriving the likelihood function using a fundamental method that, surprisingly, appears to be new to the field of array processing. This method is a natural complement to the Karhunen-Loeve transform having vector eigenfunctions and scalar eigenvalues, and it generalizes to M measurements, M/spl ges/2. Moreover, it can be applied to other multichannel estimation problems.