A Numerical Study of the Likelihood of Phase Locking
نویسنده
چکیده
Such a mapping defines by passing to quotients a continuous one-to-one mapping f of the circle-identified with the real numbers modulo the integersto itself. We can define an orientation-preserving homeomorphism of the circle to be a mapping obtained in this way. The mapping f is not quite uniquely determined by the induced mapping f ; two f ' s induce the same f if and only if they differ by an integer constant. We can use this arbitrariness to arrange, say, that 0 _< f(0) < 1; f will then be unique. From the point of view of dynamics, orientation-preserving homeomorphisms of the circle can
منابع مشابه
Evaluation of Phase Locking and Cross Correlation Methods for Estimating the Time Lag between Brain Sites: A Simulation Approach
Introduction: Direction and latency of electrical connectivity between different sites of brain explains brain neural functionality. We compared efficiency of cross correlation and phase locking methods in time lag estimation which are based on local field potential (LFP) and LFPspike signals, respectively. Methods: Signals recorded from MT area of a macaque’s brain was used in a simulation ...
متن کاملThe Transient Behavior of LC and Ring Oscillators under External Frequency Injection
In this work, time domain analysis is used to solve Adler’s equation in order to obtain the required time, for an oscillator under external injection, reaching the steady-state condition. Mathematical approach has been applied to fully describe the transient of frequency acquisition in injection-locked LC and Ring oscillators considering their time-varying nature. Then, the analysis is verifie...
متن کاملPENALTY METHOD FOR UNILATERAL CONTACT PROBLEM WITH COULOMB’S FRICTION FOR LOCKING MATERIAL
In this work, we study a unilateral contact problem with non local friction of Coulombbetween a locking material and a rigid foundation. In the first step , we present the mathematicalmodel for a static process, we establish the variational formulation in the form of a variationalinequality and we prove the existence and uniqueness of the solution. In the second step, usingthe penalty method we...
متن کاملDual Phase Detector Based Delay Locked Loop for High Speed Applications
In this paper a new architecture for delay locked loops will be presented. One of problems in phase-frequency detectors (PFD) is static phase offset or reset path delay. The proposed structure decreases the jitter resulted from PFD by switching two PFDs. In this new architecture, a conventional PFD is used before locking of DLL to decrease the amount of phase difference between input and outpu...
متن کاملEstimating the Time of a Step Change in Gamma Regression Profiles Using MLE Approach
Sometimes the quality of a process or product is described by a functional relationship between a response variable and one or more explanatory variables referred to as profile. In most researches in this area the response variable is assumed to be normally distributed; however, occasionally in certain applications, the normality assumption is violated. In these cases the Generalized Linear Mod...
متن کاملNonlinear optimized Fast Locking PLLs Using Genetic Algorithm
Abstract— This paper presents a novel approach to obtain fast locking PLL by embedding a nonlinear element in the loop of PLL. The nonlinear element has a general parametric Taylor expansion. Using genetic algorithm (GA) we try to optimize the nonlinear element parameters. Embedding optimized nonlinear element in the loop shows enhancements in speed and stability of PLL. To evaluate the perform...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002