A Sequential Partial Optimization Algorithm for Design of Near Linear-Phase IIR Digital Differentiators  

作　　者：MENG Hailong LAI Xiaoping YI Huoping 

机构地区：[1]Key Lab for IOT and Information Fusion Technology of Zhejiang, Hangzhou Dianzi University, Hangzhou 310018, China [2]Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China

出　　处：《Chinese Journal of Electronics》2019年第5期968-977,共10页电子学报（英文版）

基　　金：supported by the National Nature Science Foundation of China(No.61573123,No.61333009)

摘　　要：The linear phase is a major characteristic of digital differentiators in many signal processing applications. This study presents a sequential partial optimization method for designing a fullband infinite impulse response digital differentiator with a near linear phase. To achieve a near linear phase, the group delay is treated as an optimization variable, and the maximum phase error is minimized within a constrained domain. During each iteration of the algorithm, in addition to the whole numerator and group delay, only one second- order denominator factor is optimized. The necessary and sufficient stability triangles are applied to insure the stability of the differentiators, and the Gauss-Newton strategy is used to handle the non convexity of the design problems. Design examples show that the proposed method outperforms several state-of-the-art methods in terms of the maximum phase deviation from the desired linear phase.The linear phase is a major characteristic of digital differentiators in many signal processing applications. This study presents a sequential partial optimization method for designing a fullband infinite impulse response digital differentiator with a near linear phase. To achieve a near linear phase, the group delay is treated as an optimization variable, and the maximum phase error is minimized within a constrained domain.During each iteration of the algorithm, in addition to the whole numerator and group delay, only one secondorder denominator factor is optimized. The necessary and sufficient stability triangles are applied to insure the stability of the differentiators, and the Gauss-Newton strategy is used to handle the nonconvexity of the design problems. Design examples show that the proposed method outperforms several state-of-the-art methods in terms of the maximum phase deviation from the desired linear phase.

关 键 词：Digital DIFFERENTIATOR LINEAR phase SEQUENTIAL partial optimization Gauss-Newton strategy Mathematical PROGRAMMING 

分 类 号：TN[电子电信]