THE EFFECT OF INTEGRATOR LEAK IN SIGMA-DELTA MODULATION

被引:107
作者
FEELY, O
CHUA, LO
机构
[1] Department of Electrical Engineering and Computer Sciences, University of California, Berkeley
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1991年 / 38卷 / 11期
关键词
D O I
10.1109/31.99158
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Oversampled sigma-delta modulators are finding widespread use in audio and other signal processing applications, due to their simple structure and robustness against circuit imperfections. Exact analyses of the system are complicated by the presence of a discontinuous nonlinear element. The response of most researchers who have studied the system analytically has been to linearize the system and apply standard linear theory, but this approach in general does not yield correct results. In this paper we apply theory from the field of nonlinear dynamics to provide an analytical description of the behavior or the single-loop modulator with leaky integrators. Integrator leak is inevitable in any practical circuit implementation due to finite op-amp gain. The results obtained allow us to discuss in quantitative rather than qualitative terms the robustness of the sigma-delta system to this circuit imperfection.
引用
收藏
页码:1293 / 1305
页数:13
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