DocumentCode
763645
Title
Spherical trigonometry, Yule´s PARCOR identity, and FRLS fully normalized lattice
Author
Desbouvries, François
Author_Institution
Dept. Signal et Image, Inst. Nat. des Telecommun., Evry, France
Volume
44
Issue
2
fYear
1996
fDate
2/1/1996 12:00:00 AM
Firstpage
427
Lastpage
430
Abstract
Yule´s PARCOR identity is recognized as the cosine law of spherical trigonometry. The six PARCORs propagated by the fully normalized FRLS lattice filter are the cosines of the six elements of a spherical triangle, and this lattice algorithm is one solution to a spherical triangle problem that arises naturally in navigation and astronomy. Exploiting this new geometric interpretation yields unnoticed (and potentially useful) recursions among FRLS quantities
Keywords
adaptive filters; correlation theory; filtering theory; geometry; lattice filters; least squares approximations; recursive filters; FRLS fully normalized lattice; FRLS lattice filter; Yule´s PARCOR identity; astronomy; cosine law; geometric interpretation; lattice algorithm; navigation; partial correlation; recursions; spherical triangle; spherical trigonometry; Adaptive filters; Astronomy; Delay effects; Equalizers; Error correction; Lattices; Least squares approximation; Navigation; Nonlinear filters; Signal processing algorithms;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.485939
Filename
485939
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