Work

Design of even-order variable fractional delay FIR filters based on pivot element weighting iterative algorithm

Year: 2024

Type: article

Abstract: This paper proposes a design for even-order variable fractional delay (VFD) finite impulse response (FIR) filters based on pivot element weighting iterative (PEWI) algorithm. Initially, a mathematical model is established for even-order VFD FIR filters to derive the actual variable frequency response (VFR). This VFR is then employed to calculate the error between the actual and ideal VFRs, which is decomposed into real and imaginary components. The design aims to minimize these errors, inherently involving the solution of ill-conditioned system of linear equations. The PEWI algorithm is designed to address these equations, thereby minimizing the real and imaginary VFR errors to determine the optimal coefficients for even-order VFD FIR filters. Comparative examples with linear programming (LP) and second-order cone programming (SOCP) methods demonstrate the enhanced effectiveness and the reduced computational complexity of our PEWI-based design over LP and SOCP.

Source: IEICE Electronics Express

DOI: 10.1587/elex.21.20240456

Authors: Haiping Wang, Shengjian Liu, Xing Yang, Jiansheng Yang, Wenhao Zhao, Ke Liu

Institutions: Guizhou University, Harbin Institute of Technology, University of Electronic Science and Technology of China

Language: English

Topic: Digital Filter Design and Implementation

Subfield: Signal Processing

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: G3723855834, G4456173721