Bi-minimax design of odd-order variable fractional-delay digital filters

• Published in: 2012 IEEE International Symposium on Circuits and Systems (ISCAS) pp. 786 - 789
• Main Author: Tian-Bo Deng
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.05.2012
• Subjects: Delay; Finite impulse response filter; Frequency response; Programming; System-on-a-chip; Transfer functions; Vectors
• ISBN: 9781467302180; 146730218X
• ISSN: 0271-4302
• DOI: 10.1109/ISCAS.2012.6272157

This paper presents a new minimax method called bi-minimax design for simultaneously suppressing the peak errors of variable frequency response (VFR) and peak errors of variable fractional-delay (VFD) of odd-order variable fractional-delay (VFD) filters. To achieve this goal, we minimize a compound error function that combines the two peak errors through a weighting factor. After linearizing the non-linear constraints on VFD errors, the minimax problem is solved by using the well-known software SeDuMi subject to both second-order cone (SOC) constraints and linear constraints. An odd-order example is given to illustrate the effectiveness of the odd-order bi-minimax design approach.