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模拟集成电路的分析与设计:Chapter 14-Oscillators.ppt
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模拟集成电路的分析与设计:Chapter 14-Oscillators.ppt
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Oscillation condition
Barkhausen criteria ( 巴克豪森 准
则) .
1|)(|
0
jH
In a negative-feedback circuit has a loop gain that
satisfies two conditions:
o
jH 180)(
0
The circuit may oscillate at
0
:
In fact, in order to ensure oscillation in the presence of
temperature and process variations, we typically choose the
loop gain to be at least twice or three times the required value.
![](https://csdnimg.cn/release/download_crawler_static/85810039/bg2.jpg)
Ring Oscillators (1)
Maximum frequency-dependent phase shift is 90
o
, so the
total shift is 270
o
, smaller than 360
o
, no oscillation happens.
One-stage system.
![](https://csdnimg.cn/release/download_crawler_static/85810039/bg3.jpg)
Ring Oscillators (2)
Maximum frequency-dependent phase shift is 180
o
, the
total shift is 360
o
, it seems that oscillation may happen.
However, it only “latches up” rather than oscillates: if
V
E
V
F
M
1
offV
E
until V
E
=V
DD.
Two-stage system.
![](https://csdnimg.cn/release/download_crawler_static/85810039/bg4.jpg)
Ring Oscillators (3)
Frequency-dependent phase shift is 270
o
, so it can
satisfy the requirement of oscillation easily.
.
Three-stage system.
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