Title :
Observations on oblique projectors and pseudoinverses
Author :
Ainsleigh, Phillip L.
Author_Institution :
Naval Undersea Warfare Center, Newport, RI, USA
fDate :
7/1/1997 12:00:00 AM
Abstract :
Oblique projectors (which were examined by Behrens and Scharf (see ibid., vol.42, no.6, p.1413-24, 1994)) are related to earlier work on oblique pseudoinverses and constrained least-squares methods and are reconsidered from the standpoint of orthogonal basis vectors and QR factorizations. Construction algorithms are presented that are numerically more stable than the normal-equations constructions previously used
Keywords :
inverse problems; least mean squares methods; matrix algebra; observers; signal processing; QR factorizations; constrained least-squares methods; construction algorithms; oblique projectors; oblique pseudoinverses; orthogonal basis vectors; signal processing; stable algorithms; Acoustic measurements; Acoustic noise; Acoustic transducers; Amplitude estimation; Data mining; Fitting; Harmonic distortion; Mathematical model; Signal processing; White noise;
Journal_Title :
Signal Processing, IEEE Transactions on
