Linear-phase quadrature mirror filters with coefficients -1, 0 and + 1.
Journal
Signal Processing
Journal Volume
56
Journal Issue
1
Pages
91-101
Date Issued
1997
Author(s)
Jung, Tz-Chou
Abstract
This paper considers the linear-phase quadrature mirror filters (LP-QMFs) with coefficients constrained to the values of -1, 0 and + 1. A new filter structure and a design technique based on a recently developed weighted least-squares (WLS) algorithm are presented. First, we design an LP-QMF with continuous coefficients using the WLS algorithm. This design process provides two favourable design results that the prototype LP analysis filter has least-squares stopband response and the resulting QMF bank shows quasi-equiripple reconstruction error behavior. In conjunction with the new proposed filter structure, we then present an efficient method to obtain a design solution with coefficients restricted to -1, 0 and + 1 in the minimax sense. Several design examples demonstrating the effectiveness of the proposed technique are provided. © 1997 Elsevier Science B.V.
Subjects
Discrete optimization; Quadrature mirror filter banks; Weighted least squares
SDGs
Other Subjects
Algorithms; Least squares approximations; Signal filtering and prediction; Least squares stopband response; Linear phase quadrature mirror filters (LPQMF); Weighted least square (WLS) algorithms; Digital filters
Type
journal article