Asymmetric half-plane lattice modeling based on 2-D Levinson algorithm

Author

Nakachi, Takayuki ; Yamashita, Katsumi ; Hamada, Nozomu

Author_Institution

Fac. of Sci. & Technol., Keio Univ., Yokohama, Japan

Volume

44

Issue

10

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

865

Lastpage

868

Abstract

This brief proposes a two-dimensional (2-D) Levinson algorithm and a lattice filter for the general case of the Autoregressive (AR) model with an asymmetric half-plane (AHP) support. The resulting Levinson algorithm and corresponding lattice filter solve the 2-D normal equation recursively, Although the 2-D signals of the model support are ordered into a one-dimensional (1-D) array, the ordering of the support signal is assigned voluntarily. The effects on the resulting model caused by different choices of support signal ordering are discussed. Finally, the validity of the proposed theory is confirmed through various simulations

Keywords

array signal processing; autoregressive processes; circuit analysis computing; lattice filters; prediction theory; recursive estimation; spectral analysis; transfer functions; 2-D Levinson algorithm; 2-D normal equation recursive solution; 2-D signals; asymmetric half-plane lattice modeling; autoregressive model; lattice filter; linear prediction; one-dimensional array; simulations; spectral estimation; support signal ordering; Equations; Lattices; Nonlinear filters; Predictive models; Quadratic programming; Signal processing; Signal processing algorithms; Speech synthesis; Stability; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.633447

Filename

633447