Design of delta-sigma modulators via generalized Kalman-Yakubovich-Popov lemma

作     者：Li, Xianwei Yu, Changbin (Brad) Gao, Huijun 

作者机构：Harbin Inst Technol Res Inst Intelligent Control & Syst Harbin 150080 Peoples R China Hangzhou Dianzi Univ Hangzhou 310018 Peoples R China Australian Natl Univ Res Sch Engn Canberra ACT 0200 Australia King Abdulaziz Univ Jeddah 21413 Saudi Arabia 

出 版 物：《AUTOMATICA》 (自动学)

年 卷 期：2014年第50卷第10期

页      面：2700-2708页

核心收录：

学科分类：0711[理学-系统科学] 0808[工学-电气工程] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 071101[理学-系统理论] 

基　　金：National Natural Science Foundation of China [61333012, 61273201, 61375072] Key Laboratory of Integrated Automation for the Process Industry, Northeast University Australian Research Council [DP-130103610] Qianjiang Scholars Program Queen Elizabeth II Fellowship [DP-110100538] China Scholarship Council 

主　　题：Delta-sigma (Delta Sigma) modulator Noise transfer function (NTF) Infinite impulse response (IIR) Iterative algorithm Generalized Kalman-Yakubovich-Popov (GKYP) lemma 

摘      要：This paper is concerned with the design of delta-sigma modulators via the generalized Kalman-Yakubovich-Popov lemma. The shaped noise transfer function (NTF) is assumed to have infinite impulse response, and the optimization objective is minimizing the maximum magnitude of the NTF over the signal frequency band. By virtue of the GKYP lemma, the optimization of an NTF is converted into a minimization problem subject to quadratic matrix inequalities, and then an iterative algorithm is proposed to solve this alternative minimization problem. Each iteration of the algorithm contains linear matrix inequality constraints only and can be effectively solved by the existing numerical software packages. Moreover, specifications on the NTF zeros are also integrated in the design method. A design example demonstrates that the proposed design method has an advantage over the benchmark one in improving the signal-to-noise ratio. (C) 2014 Elsevier Ltd. All rights reserved.