Lee, Ju-HongJu-HongLeeYang, Yuan-HauYuan-HauYang2009-05-132018-07-052009-05-132018-07-0520041053587Xhttp://ntur.lib.ntu.edu.tw//handle/246246/155846https://www.scopus.com/inward/record.uri?eid=2-s2.0-7544222879&doi=10.1109%2fTSP.2004.836532&partnerID=40&md5=ba992943752e3f93963693a4305a7e7eThe design of two-channel linear-phase nonuniform-division filter (NDF) banks constructed by infinite impulse response (HR) digital allpass filters (DAFs) in the sense of L∞ error criteria is considered. First, the theory of two-channel NDF bank structures using two IIR DAFs is developed. Then, the design problem is appropriately formulated to result in a simple optimization problem. Utilizing a variant of Karmarkar's algorithm, we can efficiently solve the optimization problem through a frequency sampling and iterative approximation method to find the coefficients for the HR DAFs. The resulting two-channel NDF banks can possess approximately linear-phase response without magnitude distortion. The effectiveness of the proposed technique is achieved by forming an appropriate Chebyshev approximation of a desired phase response and then to find its solution from a linear subspace in a few iterations. Several simulation examples are presented for illustration and comparison. © 2004 IEEE.application/pdf526953 bytesapplication/pdfen-USChebyshev approximation; Computer simulation; IIR filters; Iterative methods; Optimization; Allpass filters; Minimax optimization; Nonuniform-division filterbank; Signal filtering and predictionjournal article2-s2.0-7544222879WOS:000224479200014http://ntur.lib.ntu.edu.tw/bitstream/246246/155846/1/30.pdf