tailieunhanh - Báo cáo hóa học: " Research Article A New Method for Least-Squares and Minimax Group-Delay Error Design of Allpass Variable Fractional-Delay Digital Filters"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article A New Method for Least-Squares and Minimax Group-Delay Error Design of Allpass Variable Fractional-Delay Digital Filters | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2010 Article ID 976913 10 pages doi 2010 976913 Research Article A New Method for Least-Squares and Minimax Group-Delay Error Design of Allpass Variable Fractional-Delay Digital Filters Cheng-Han Chan 1 Soo-Chang Pei EURASIP Member 2 and Jong-Jy Shyu3 1 Department of Aviation and Communication Electronics Air Force Institute of Technology Kaohsiung 820 Taiwan 2 Department of Electrical Engineering National Taiwan University Taipei 106 Taiwan 3 Department of Electrical Engineering National University of Kaohsiung Kaohsiung 811 Taiwan Correspondence should be addressed to Jong-Jy Shyu jshyu@ Received 28 February 2010 Accepted 22 December 2010 Academic Editor Douglas O Shaughnessy Copyright 2010 Cheng-Han Chan et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. A double-loop iterative method is proposed to design allpass variable fractional-delay VFD digital filters basing on the minimization of root-mean-squared group-delay error. In the inner loop an iterative quadratic optimization is proposed to replace the original nonlinear optimization for the minimization of root-mean-squared group-delay error while an iterative weighting-updated technique is applied in the outer loop to further reduce the maximum group-delay error. Several examples will be presented to demonstrate the effectiveness and good convergence of the proposed method. 1. Introduction For the past decade the design of variable fractional-delay VFD digital filters became an important topic in digital signal processing due to their wide applications in signal processing and communication systems such as comb filter design sample rate conversion tunable modulator and acoustic system 1-5 . Since Farrow proposed an effective structure for .