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                 distinguish the two different output modes, a different voltage modulation fre-
                 quency (200 and 300 kHz) is used for each sense electrode pair. The reported per-
                 formance was 1°/sec in a 25 Hz bandwidth. The natural driving frequency of the
                 rotor is about 25 kHz. Similar to single-axis devices a high quality factor can be used
                 to amplify the output motion. In a 60-mTorr vacuum Junneau et al. report a quality
                 factor of about 1,000. Electrostatic tuning of the different resonant frequencies can
                 be used. Cross-coupling between the two output modes is a major problem and was
                 measured to be as high as 15%. This implies that for a commercially viable version
                 more research has to be done for such a dual-axis gyroscope.
                    A conceptually similar implementation was reported by An et al. [68]. The
                 authors reported a higher resolution, of 0.1°/sec, which was mainly due to a thicker
                 proof mass (7 µm).



                 8.3.3  Commercial Micromachined Gyroscopes
                 Silicon Sensing Systems (a joint venture between BAE SYSTEMS and Sumitomo Pre-
                 cision Products [69]) is producing a very successful commercial gyroscope based
                 upon a ring-type sensing element. It uses magnetic actuation and detection, which
                 may prove to be problematic for further device size reduction. The ring has diameter
                 of 6 mm and is connected by eight radially compliant spokes to a support frame with
                 the dimensions of 10 × 10 mm. It is fabricated by deep reactive ion etching of a
                 100-m-thick silicon wafer. Current-carrying conductor loops are deposited on the
                 surface of the ring structure. These loops, together with the magnetic field, set up by
                 the permanent magnet provide the signal pick-off and primary oscillation mode
                 drive. This gyroscope has a resolution of 0.005/sec, a bandwidth of 70 Hz, and a
                 noise floor of 0.1/sec in a 20-Hz bandwidth. A picture of the sensor is shown in
                 Figure 8.28. Currently, they are developing a capacitive sensor without a permanent
                 magnet, thereby allowing for further size reduction [70].
                    Analog Devices has recently released the ADXRS family of integrated angular
                 rate-sensing gyroscopes, which contains the ADXRS300 (with dynamic range of
                 ±300 mº/sec) and the ADXRS150 (with dynamic range of ±150º/sec). It is the first
                 fully integrated commercial gyroscope. A picture of the chip is shown in Figure
                 8.29(a). It operates from 5V supply over the industrial temperature range of –40°C





















                 Figure 8.28  Commercial micromachined gyroscope from Silicon Sensing Systems. (From: [69].
                 © 1997 BAE Systems. Permission obtained from BAE Systems, who are a part of SSS.)
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