system and circuit design for a capacitive mems gyroscope - Aaltodoc
system and circuit design for a capacitive mems gyroscope - Aaltodoc
system and circuit design for a capacitive mems gyroscope - Aaltodoc
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1.2 Angular Velocity Sensors 3<br />
1.2 Angular Velocity Sensors<br />
Angular velocity sensors are devices which are used to measure the rotation rate of<br />
a body with respect to an inertial frame of reference. Their application areas include<br />
navigation, automotive stability control <strong>system</strong>s <strong>and</strong> safety <strong>system</strong>s, plat<strong>for</strong>m stabiliza-<br />
tion, including picture stabilization in camcorders <strong>and</strong> cameras, robotics, <strong>and</strong> various<br />
input devices.<br />
Traditionally, angular velocity has been measured with a rotating wheel <strong>gyroscope</strong>,<br />
which is based on the conservation of angular momentum. This has been replaced by<br />
fiber optic <strong>and</strong> ring laser <strong>gyroscope</strong>s in precision applications 2 . Optical <strong>gyroscope</strong>s are<br />
the most accurate angular velocity sensors available at the moment, <strong>and</strong> are used, <strong>for</strong><br />
instance, in inertial navigation <strong>system</strong>s. However, they are too expensive <strong>and</strong> too bulky<br />
<strong>for</strong> most of the a<strong>for</strong>ementioned applications. [7]<br />
The automotive applications of angular velocity sensors include chassis stability<br />
control <strong>system</strong>s such as ESC (Electronic Stability Control), <strong>and</strong> safety <strong>system</strong>s such as<br />
roll-over detection. In particular, the stability control <strong>system</strong>s have created a rapidly<br />
growing market <strong>for</strong> low- to medium-priced, medium-accuracy angular velocity sensors<br />
which can be realized with the MEMS technology [8, 9].<br />
As described earlier, a very rapidly growing MEMS angular velocity sensor appli-<br />
cation area is currently that of consumer applications. These include picture stabiliza-<br />
tion in cameras <strong>and</strong> camcorders, GPS (Global Positioning System)-assisted navigation<br />
<strong>and</strong> dead reckoning, <strong>and</strong> various input devices. An example of the latter application<br />
is game controllers, which are equipped with angular velocity sensors. This makes<br />
it possible to control a computer game by just turning the game controller in various<br />
directions. Another possible example is a mobile h<strong>and</strong>set in which the user interface<br />
can be controlled by rotating the device.<br />
The MEMS technology offers the possibility of miniaturizing the angular velocity<br />
sensors. At the same time, as a mass fabrication technology, it makes it possible to<br />
reduce the price of a single unit, provided that the manufacturing quantities are large<br />
enough. Both of these properties can be considered very advantageous, especially<br />
when the requirements of consumer electronics are considered.<br />
Almost all the micromechanical angular velocity sensing elements reported in the<br />
literature have been vibratory <strong>gyroscope</strong>s [7]. The reason <strong>for</strong> this is that, unlike rotating<br />
wheel <strong>gyroscope</strong>s, they do not require bearings, thus providing much simpler <strong>design</strong><br />
<strong>and</strong> greater long-term reliability. A vibratory <strong>gyroscope</strong> is composed of two ideally<br />
decoupled resonators. When the <strong>gyroscope</strong> rotates about its sensitive axis, the Coriolis<br />
2 Strictly speaking, the term <strong>gyroscope</strong> refers to the traditional rotating wheel device, whereas the term<br />
angular velocity sensor refers to angular rate measurement devices in general. However, they are (mis)used<br />
interchangeably in the literature, <strong>and</strong> the convention will be followed here as well.