Title :
Fast algorithms for estimation and signal processing: an inverse scattering framework
Author :
Yagle, Andrew E.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
fDate :
6/1/1989 12:00:00 AM
Abstract :
The inverse scattering problem for a lossless transmission line has been used as a framework for deriving the Levinson and Schur fast algorithms for Toeplitz matrices. Here, the same framework is used to derive and attach novel simple scattering interpretations to the lattice algorithm and the split algorithms. This demonstrates that the scattering and interpretation is more fundamental to fast signal-processing algorithms than previously noted
Keywords :
filtering and prediction theory; matrix algebra; parameter estimation; signal processing; Toeplitz matrices; estimation; fast algorithms; inverse scattering framework; lattice algorithm; signal processing; split algorithms; Acoustic scattering; Equations; Filtering; Filters; Inverse problems; Phase change materials; Signal processing algorithms; Speech coding; Speech enhancement; Transmission line matrix methods;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/ASSP.1989.28071