FURTHER IMPROVED 2-D LATTICE FILTER STRUCTURE EMPLOYING MISSING REFLECTION COEFFICIENTS


ERTUZUN A., KAYRAN A. H. , PANAYIRCI E.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, vol.14, no.4, pp.473-494, 1995 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 4
  • Publication Date: 1995
  • Doi Number: 10.1007/bf01260333
  • Journal Name: CIRCUITS SYSTEMS AND SIGNAL PROCESSING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.473-494
  • Istanbul Technical University Affiliated: Yes

Abstract

A new lattice filter structure to model two-dimensional (2-D) autoregressive (AR) fields is proposed. The proposed structure utilizes and extracts the information contained in the backward prediction error fields and their delayed versions. The main idea is to use two sets of reflection coefficients corresponding to two quadrant filters and to increase the number of reflection coefficients with the order of the lattice filter. Increasing the number of reflection coefficients at each stage produces a sufficient number of independent parameters to model AR fields up to order three, which is an improvement over the existing 2-D lattice filter structures. The improvement is confirmed by computer simulations. In addition, a relationship between the reflection coefficients and the AR coefficients is derived. It is also shown that the entropy contained in the backward prediction error field vector of the proposed structure is closer to the input entropy when compared to those contained in existing 2-D lattice filters.