Simulation of Analog Costas Loop Circuits

作     者：Roland E.Best Nikolay V.Kuznetsov Gennady A.Leonov Marat V.Yuldashev Renat V.Yuldashev 

作者机构：Best Engineering Oberwil Switzerland Department of Mathematical Information Technology University of Jyvskyl Jyvskyl FI-40014 Finland Department of Applied Cybernetics Saint Petersburg State University Saint Petersburg 198504 Russia 

出 版 物：《International Journal of Automation and computing》 (国际自动化与计算杂志（英文版）)

年 卷 期：2014年第11卷第6期

页      面：571-579页

核心收录：

学科分类：11[军事学] 0810[工学-信息与通信工程] 1105[军事学-军队指挥学] 08[工学] 081002[工学-信号与信息处理] 110503[军事学-军事通信学] 

基　　金：supported by Academy of Finland,Russian Ministryof Education and Science(Federal Target Program) Russian Foundation for Basic Research and Saint-Petersburg State University 

主　　题：Phase-locked loop (PLL) based circuits Costas loop phase detector characteristic simulation nonlinear analysis 

摘      要：The analysis of stability and numerical simulation of Costas loop circuits for the high-frequency signals is a challenging task. The problem lies in the fact that it is necessary to observe very fast time scale of input signals and slow time scale of signal s phases simultaneously. To overcome this difficulty, it is possible to follow the classical ideas of Gardner and Viterbi to construct a mathematical model of Costas loop, in which only slow time change of signal s phases and frequencies is considered. Such an construction, in turn,requires the computation of phase detector characteristic, depending on the waveforms of the considered signals. In this paper, the problems of nonlinear analysis of Costas loops and the approaches to the simulation of the classical Costas loop, the quadrature phase shift keying(QPSK) Costas loop, and the two-phase Costas loop are discussed. The analytical method for the computation of phase detector characteristics of Costas loops is described.