高阶过取样△∑调制系统的稳定性分析

Stability Analysis of the High-order Oversamphng Mo- dulation System

本文提出了一种有效值增益G表示的线性化系统模型,用来分析非线性高阶过取样△∑调制系统的稳定性,并指导系统的设计,分析表明稳定性依赖于系统参数(如积分器增益,积分器延迟等)和系统的动态特性(如输入信号,积分器的初始状态等),这要求在设计高阶系统过程中必须要合理选择积分器增益和积分器的初始状态等,使系统稳定工作。

A linearization system model described by the root-mean square gain G that can be used to analyze the stability of the nonlinear high-order oversampling △∑ modulation system and to direct the design of this system is presented. The analysis indicates that the stability depends on system parameters (such as integrator gain or delay) and system dynamic characters (such as input signal, integrator initial conditions). Integrator gain and integrator initial conditions should be properly selected during the process of its design so as to make the system stable.