A Rectangular Weighting Function Approximating Local Phase Error for Designing Equiripple All-Pass IIR Filters

作者：Ishiwata Taisaku^*; Shiraki Yoshinao

来源：IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, 2013, E96A(12): 2398-2404.

DOI：10.1587/transfun.E96.A.2398

• all-pass IIR filters
• equiripple filters
• iteratively reweighted least squares (IRWLS)

In this paper, we propose a rectangular weighting function that can be used in the method of iteratively reweighted least squares (IRWLS) for designing equiripple all-pass IIR filters. The purpose of introducing this weighting function is to improve the convergence performance in the solution of the IRWLS. The height of each rectangle is designed to be equal to the local maximum of each ripple, and the width of each rectangle is designed so that the area of each rectangle becomes equal to the area of each ripple. Here, the ripple is the absolute value of the phase error. We show experimentally that the convergence performance in the solution of the IRWLS can be improved by using the proposed weighting function.

• 出版日期2013-12