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
fDate :
2/1/1996 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
