JU-HONG LEEJung, Tz-ChouTz-ChouJung2020-06-112020-06-11199701651684https://scholars.lib.ntu.edu.tw/handle/123456789/498422https://www.scopus.com/inward/record.uri?eid=2-s2.0-0030673731&doi=10.1016%2fs0165-1684%2896%2900152-1&partnerID=40&md5=7c1cacaf3b563cf5dfeb71611982a8b2This 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.Discrete optimization; Quadrature mirror filter banks; Weighted least squares[SDGs]SDG11Algorithms; Least squares approximations; Signal filtering and prediction; Least squares stopband response; Linear phase quadrature mirror filters (LPQMF); Weighted least square (WLS) algorithms; Digital filtersjournal article10.1016/S0165-1684(96)00152-12-s2.0-0030673731https://doi.org/10.1016/S0165-1684(96)00152-1