A modified QRD for smoothing and a QRD-LSL smoothing algorithm

Author

Yuan, Jenq-Tay

Author_Institution

Dept. of Electron. Eng., Fu Jen Catholic Univ., Taipei, Taiwan

Volume

47

Issue

5

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

1414

Lastpage

1420

Abstract

This paper introduces a modified QR-decomposition (QRD) that extends the method of QRD to a more general case to solve the least-squares lattice smoothing problems. We show that the conventional QRD is a special form of the modified QRD that occurs when no future data values are used. Within the framework of the modified QRD procedure, an order-recursive QRD based least-squares lattice (QRD-LSL) smoothing algorithm is formulated. The algorithm combines all the desirable features of the standard QRD-LSL filtering algorithm with a more accurate smoothing process. The results of some computer simulations of a channel equalizer are also presented

Keywords

adaptive equalisers; adaptive filters; adaptive signal processing; lattice filters; least squares approximations; matrix decomposition; recursive filters; smoothing methods; QRD-LSL filtering algorithm; QRD-LSL smoothing algorithm; channel equalizer; computer simulations; least-squares lattice smoothing problems; matrix decomposition; modified QR-decomposition; modified QRD; order recursive adaptive filtering; order-recursive QRD least-squares lattice; Adaptive filters; Computer simulation; Delay estimation; Equalizers; Filtering algorithms; Finite impulse response filter; Lattices; Nonlinear filters; Signal processing algorithms; Smoothing methods;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.757234

Filename

757234