Spherical trigonometry, Yule's PARCOR identity, and FRLS fully normalized lattice

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 a...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on signal processing Vol. 44; no. 2; pp. 427 - 430
Main Author Desbouvries, F.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.02.1996
Institute of Electrical and Electronics Engineers
Subjects
Adaptive filters
Applied sciences
Astronomy
Delay effects
Detection, estimation, filtering, equalization, prediction
Equalizers
Error correction
Exact sciences and technology
Geometry
Information, signal and communications theory
Lattices
Least squares approximation
Mathematics
Navigation
Nonlinear filters
Sciences and techniques of general use
Signal and communications theory
Signal processing algorithms
Signal, noise
Telecommunications and information theory
Lattice filter
Adaptive filter
Least squares method
Recursive algorithm
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1053-587X
1941-0476
DOI:10.1109/78.485939