A stability controlling-based approach for designing 1-D variable fractional delay all-pass filters

作者：Zhao, Hui; Li, Shengnan^*; Yang, Hongyu; Zhou, Quan

来源：COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2018, 37(6): 2224-2231.

DOI：10.1108/COMPEL-01-2018-0053

• All-pass filters
• Digital filters
• Filter stability
• Variable fractional delay (VFD) filters

Purpose Variable fractional delay filtering is an important technology in signal processing; the research shows that all-pass variable fractional delay (VFD) filters achieve higher design accuracy than FIR VFD filters; therefore, the design, analysis and implementation of all-pass VFD filters are of great importance. @@@ Design/methodology/approach In this paper, a two-stage approach for the design of general 1-D stable VFD all-pass filters is proposed. The method takes the desired group delay range [N-1, N], where N is the filter order. @@@ Findings The design algorithm is decomposed into two design stages: first, a set of fixed delay all-pass filters are designed by minimizing a set of objective functions defined in terms of approximating error criterion and filter stability constraint. Then, the design result is determined by fitting each of the fixed delay all-pass filter coefficients as 1-D polynomials. A design example together with its comparisons with those of the recent literature studies is given to justify the effectiveness of the proposed design method. @@@ Originality/value An illustrating design example shows that the method proposed can achieve better filter performances than the existing ones.

• 出版日期2018
• 单位电子科技大学