The present invention relates generally to positioning of control objects, and more particularly, to shock and vibration compensation systems for correcting off track errors of read-write heads within data storage devices.
Disc drives are data storage devices adapted to store and retrieve user data. A typical disc drive stores data on one or more rotating discs. An actuator positions a corresponding number of data transducing heads (read/write heads) over tracks defined on the rotating discs to access data stored in the tracks.
Generally, track following servo systems are used in hard disc drives to hold the data transducing heads to very small off-track errors in order to support the increasing data density (track density) of contemporary storage devices. Tracking errors can be induced due to many effects including disc and bearing runout, servo-track-writer induced irregularities, electronic noise, spindle and actuator resonances, and external shock and vibration excitations.
Small form factor hard discs are often used in portable computing environments, such as laptop computers, hand-held music players, portable video games, and the like, where there is an increased likelihood of exposure to continuous shocks and random vibrations due to physical activities such as jogging, cycling and the like. Studies of shock and vibration levels in hard disc drives embedded in portable devices during physical activities have shown that shock and vibration levels during jogging can be represented by a continuous series of shock pulses and random vibrations. In portable audio devices, such as MP3 players, which are often used by joggers and cyclists during exercise activities, it is desirable to have a smooth flow of music without interruption. However, external shocks to such portable devices may cause the read-write head in the disc drive to move off track, causing the read-write head to be unable to load information from the storage medium. While such devices often use a memory buffer, the read-write head of the storage device has to recover between shocks in order to continue to read data into the memory buffer, or the system will stop operating.
Shocks induced by jogging typically have a high amplitude and long duration. Traditional servo compensation schemes are not capable of suppressing such disturbances quickly enough to produce satisfactory performance in portable devices. Embodiments of the present invention provide solutions to these and other problems, and offer other advantages over the prior art.
A storage device has a disturbance observer adapted to compensate for shocks and random vibrations. The storage device has a storage medium, a read-write mechanism adapted to read and to write data from and to the storage medium, and a disturbance observer. The disturbance observer compensates a position of the read-write mechanism responsive to low frequency components of physical disturbances. In one embodiment, the storage device includes a trigger mechanism adapted to enable the disturbance observer only if a position error exceeds a predetermined threshold.
Other features and benefits that characterize embodiments of the present invention will be apparent upon reading the following detailed description and review of the associated drawings.
Disc drive 100 further includes a disc 114, which is mounted on a spindle motor assembly 116 by disc clamp 118. Disc 114 is mounted for rotation about a central axis 120. Each disc surface has an associated disc head slider with a corresponding transducer head 122, which is mounted to disc drive 100 for communication with the surface of the disc 114. In the example shown in
Actuator 128 can be of a type known as a rotary moving coil actuator, which includes a voice coil motor (VCM), shown generally at 134. Voice coil motor 134 rotates actuator 128 with its attached heads 124 about a pivot shaft 136 to position heads 124 over a desired data track along an arcuate path 138 between a disc inner diameter 140 and a disc outer diameter 142. Voice coil motor 134 is driven by drive circuitry 144, which includes a printed circuit board (PCB) 146 and flex circuit 148. The flex circuit 148 extends from the PCB 146 to the actuator 128 to provide an electrical interface for the heads 122 and to energize the VCM 134 to position the heads 122 relative to data tracks on the disc 114. The drive circuitry 144 can include a processor and firmware, which together operate as a controller (shown in
It should be understood by workers skilled in the art that the disc drive 100 in
Generally, in the figures presented below, reference numbers are reused to refer to the similar elements or blocks. As additional features are introduced, new reference numbers are added such that the first digit of the reference numeral corresponds to the figure in which the feature is first depicted.
A reference input (r=0) is applied to an input of the controller 206. The controller 206 generates a controller output (u) to regulate the plant 202 to follow the reference input (r). The plant 202, which may experience disturbances (ζ) such as external shocks or random vibrations, generates a plant output signal (y(t)) related to an actual position of the plant 202 relative to a desired position. The output signal (y(t)) may contain measurement noise (ξ) (such as sensor noise). Output signal (y(t)) is fed back and subtracted from the reference signal (r) at a controller input node 216 to create a position error signal (PES) at the input of the controller 206.
Additionally, the plant output (y(t)) and sensor noise (ξ) are processed by the observer 204. Generally, sensor noise (ξ) is high frequency noise relative to the frequency range for random vibration and/or shock rejection, which is typically within a range of 10 Hz to 500 Hz. The observer 204 includes low-pass filter 210 positioned between the output summing node 220 and the inverted plant model 212 to remove the high frequency sensor noise (ξ). The inverted plant model 212 estimates a disturbance (ζ) based on the controller output (u) and on the plant output (y(t)) and provides an observed disturbance signal (ζobs) to the Q-filter 214. The Q-filter 214 removes high frequency content from the observed disturbance signal (ζobs) to produce a disturbance compensation signal (ζ′), which contains low frequency signals of the observed disturbance (ζobs) for compensating the controller output (u) at summing node 222 to produce a control signal (u′). By designing the low-pass filter 210 with unity DC gain, the low-pass filter attenuates the sensor noise (ξ) in the high frequency range, while compensating or offsetting the effect of the disturbance in the low frequency range.
Disturbances (such as random vibrations and shocks) are modeled as an input to the plant 202 via summing node 218. Sensor noise (ξ) is modeled as an input to the feedback loop 208 via summing node 220. The plant 202 represents a model of mechanical aspects of the physical structure to be controlled. For example, in one embodiment, the plant 202 can represent mechanical aspects of the disc drive 100 (in
such that the plant 202 is a double integrator with a nominal plant gain parameter (KLUMP), which is used to estimate the acceleration signal. The inverted plant model 212 can be represented by a transfer function in the frequency domain that is chosen to be an inverted model of the plant 202, such that the observer 204 includes a digital double differentiator that can be represented in the frequency domain by the following transfer function
over a wide range of frequencies, such as from zero Hz to one KHz or two KHz, for example.
A reference input (r=0) is applied to an input of the controller 206. The controller 206 generates a controller signal (u) from which a disturbance compensation signal (ζ′) is subtracted to form a control signal (u′) to regulate the plant 202 to follow the reference input (r). Disturbances (λ), such as random vibrations and external shocks, are modeled as inputs to summing node 218 that alter the control signal (u′) into a plant input (ua).
The plant 202 responds to the plant input (ua) and generates a plant output signal (y(t)) related to an actual position of the plant 202 relative to a desired position. The output signal (y(t)) and associated sensor noise (ξ) are fed back and subtracted from the reference signal (r) at a controller input node 216 to create the PES at the input of the controller 206.
Additionally, the plant output (y(t)) and sensor noise (ξ) are processed by the observer 204. Generally, sensor noise (ξ) is high frequency noise relative to the frequency range for random vibration and/or shock rejection, which is typically within a range of 10 Hz to 500 Hz. The observer 204 includes the low-pass filter 210 between output the summing node 220 and the inverted plant model 212 to remove the high frequency sensor noise (ξ). The inverted plant model 212 estimates a plant input (ua′) based on the filtered plant output (y(t)). The control signal (u′) is also processed by the observer 204 through delay block 302 (denoted as Z−d) and subtracted from the estimated plant input (ua′) to produce an observed disturbance signal (ζobs). Delay block 302 represents a delay of d-steps to compensate for phase loss due to computational and other delays. Q-filter 214 processes the observed disturbance signal (ζobs) to remove high frequency content. The resultant output of the observer 204 is a disturbance compensation signal (ζ′), which contains low frequency signals of the observed disturbance (ζobs) for compensating the controller output (u) at summing node 222.
Unlike conventional random vibration and control systems, embodiments of the present invention filter out high frequency sensor noise (ξ) prior to estimating the plant input (Ua). By designing the low-pass filter F(s) 210 to be a low-pass filter with a unity DC gain, the sensor noise (ξ) can be attenuated in the high frequency range, and at the same time the effect of the disturbance (ζ) can be canceled in the low frequency range. In one embodiment, the low-pass filter F(s) 210 and the Q-filter 214 are chosen to be first-order Butterworth low-pass filters. First-order Butterworth low-pass filters are fairly simple and well-known filters, and thus the observer 204 is very simple to implement.
In general, the low-pass filter 210 is chosen such that its transfer function is as follows:
where the parameter a determines the cut-off frequencies of F(s). The Q-filter is composed of a first order low-pass filter (such as function F(s) above) concatenated with another low-pass filter Q′(s) such that its transfer function is as follows:
where Q′(s) is also a low-pass filter, which can be of any desired order. For simplicity, Q′(s) can be chosen to be unity. In this case, the transfer function Q(s) is a simple first-order low-pass filter. Unfortunately, the frequency domain convolution (F(s)Pn−1(s)) of the inverted plant model 212 and the low-pass filter 210 is a non-causal filter that cannot be implemented directly. However, by rearranging the transfer function of the feedback loop 208 (F(s)Pn−1(s)Q(s)), the system 300 can be realized as shown below in
Following a forward path through the system 400, nominal feedback is subtracted from reference signal (r=0) at node 216 to produce a PES signal to the input of the controller 206. The controller 206 generates a controller output (u) from which a disturbance compensation signal (ζ′), if available, is subtracted at node 222 to produce a control signal (u′). The control signal (u′) is received by holder 402, which represents a sample and hold circuit. The control signal (u′) is provided to the plant 202 through summing node 218, where a disturbance (ζ) may be introduced to produce plant input (ua). The plant 202 uses the plant input (ua), for example, to position a read write mechanism (shown in
The plant output signal (y(t)) is then provided to the observer 204 for processing. The observer 204 includes summing node 220, sampler 404, divisor block 406
low pass filter 210, delay block 304, low pass filter 408, constant gain block 410, summing nodes 412 and 414, and Q-filter 214. In general, the output signal (y(t)) and measurement noise (ξ) are combined in summing node 220 and sampled by sampler 404 to produce the nominal feedback that is passed to summing node 216. Additionally, the nominal feedback is processed by divisor block 406, which reduces the magnitude of the nominal feedback signal by a constant (based on the lumped gain parameter kLUMP and on the parameter a which determines the cutoff frequency), producing a resultant product (ud). The product (ud) is filtered by low pass filter 210 to produce an estimated plant input (u′a). The control signal (u′) is subtracted from the estimated plant input (u′a) at summing node 414 and the difference (u′a−u′) is filtered by low-pass filter 408.
The estimated plant input (u′a) is provided to constant gain block 410 and subtracted from the product (ud) at summing node 412. The difference (ud−2*u′a) and the filtered difference (u′a−u′) from low-pass filter 408 are added together at summing node 414 to form the observed disturbance signal (ζobs). Q-filter 214 filters the high frequency content from the observed disturbance signal (ζobs) to form the disturbance compensation signal (ζ′).
In the embodiment shown, a trigger mechanism 416 closes and opens the feedback loop 208 responsive to a magnitude of the PES signal (or responsive to an off-track position error). Consequently, the observer 204 does not always provide feedback to the plant 202. Instead, the trigger mechanism 416 controls the feedback loop 208 such that the disturbance compensation signal (ζ′) is subtracted from the controller output (u) only if the PES is greater than a predetermined threshold, due to external vibrations or shocks. This allows the observer 204 to operate in parallel, for example, with an existing servo control system, which operates to regulate the plant 202 to follow the track under normal operating conditions.
The trigger 416 closes feedback loop 208 only when the PES exceeds a predetermined threshold. The xy-axis graph depicted within trigger 416 illustrates position-error versus logic levels within the trigger. The x-axis represents a position error, and the vertical axis represents positive and negative logic levels (on/off) for the trigger 416 of the RVSC scheme. The position error may be positive or negative. In the tracking state, once the absolute value of the position error exceeds a threshold and the read-write mechanism (such as transducer head 122 in
It should be understood by workers skilled in the art that the various elements of
It should be understood by workers skilled in the art that, although the controller 504, the disturbance observer 204, and the trigger 416 are shown as separate elements, the elements may be combined within the controller 504. Alternatively, various functional elements of the disc drive 100 may overlap, such that there is no clear-cut distinction between the controller 504 and the disturbance observer 204, for example. In general, the various elements in all of the drawings are called out separately in order to describe functionality, but are not necessarily separate elements or functions in practice.
RVSC feedback system improves the shock and vibration response of the device over a device that uses only standard servo tracking schemes, in the sense that the off-track errors are significantly reduced and the settling performance is improved.
TABLE I below shows test data collected during operation of a storage device with and without RVSC compensation during five minutes of jogging.
Thus, the RVSC compensation feedback loop improves recovery of a control object, such as a read/write mechanism, during continuous shock conditions. The feedback loop allows for almost two more read-operations per second and nearly a ten percent improvement over a device without RVSC compensation. This means that the read-write mechanism recovers more quickly from each shock, allowing the device to function better than conventional systems in such conditions.
While the above-discussion has been primarily directed to portable storage devices, it should be understood that the RVSC scheme described above may also be employed in non-portable storage devices used in hostile environments. For example, a storage device with a random vibration and shock compensation system can be employed in computing systems for use in sea-going vessels, weather aircraft, and other vehicles and/or devices that can be jolted, tossed, buffeted, and the like, by their environment. Moreover, while the present invention has been described with respect to a storage device, the RVSC scheme may also be used in other control applications, where external shocks and vibrations may alter a desired position of an object.
It is to be understood that, even though numerous characteristics and advantages of various embodiments of the invention have been set forth in the foregoing description, together with details of the structure and function of various embodiments of the invention, this disclosure is illustrative only. Changes may be made in detail, especially in matters of structure and arrangement of parts within the principles of the present invention to the full extent indicated by the broad general meaning of the terms in which the appended claims are expressed. For example, the particular elements may vary depending on the particular application for the random vibration and shock compensation system while maintaining substantially the same functionality without departing from the scope and spirit of the present invention. In addition, although the embodiments described herein are directed to a disturbance compensation system for use in storage systems within portable devices, it will be appreciated by those skilled in the art that the teachings of the present invention can be applied to control of any object that is exposed to external disturbances, without departing from the scope and spirit of the present invention. The present invention includes a control system, disturbance observer and method for controlling position of an object using low frequency components of a disturbance signal.
Number | Name | Date | Kind |
---|---|---|---|
3947881 | Dahill et al. | Mar 1976 | A |
3997876 | Frush | Dec 1976 | A |
4006394 | Cuda et al. | Feb 1977 | A |
4477755 | Rickert | Oct 1984 | A |
4488189 | Axmear et al. | Dec 1984 | A |
4510537 | Yoshida et al. | Apr 1985 | A |
4575776 | Stephens et al. | Mar 1986 | A |
4697127 | Stitch et al. | Sep 1987 | A |
4792737 | Goff et al. | Dec 1988 | A |
4792870 | Pinson | Dec 1988 | A |
4858041 | Brown | Aug 1989 | A |
4862298 | Genheimer et al. | Aug 1989 | A |
4879612 | Freeze et al. | Nov 1989 | A |
4890172 | Watt et al. | Dec 1989 | A |
4894599 | Ottesen et al. | Jan 1990 | A |
4914644 | Chen et al. | Apr 1990 | A |
4940924 | Mizuno et al. | Jul 1990 | A |
4954905 | Wakabashi et al. | Sep 1990 | A |
4979059 | Sengoku | Dec 1990 | A |
5010535 | Davis | Apr 1991 | A |
5119250 | Green et al. | Jun 1992 | A |
5126897 | Ogawa et al. | Jun 1992 | A |
5128813 | Lee | Jul 1992 | A |
5146440 | Yamaguchi et al. | Sep 1992 | A |
5151639 | Hasegawa et al. | Sep 1992 | A |
5155422 | Sidman et al. | Oct 1992 | A |
5164931 | Yamaguchi et al. | Nov 1992 | A |
5182684 | Thomas et al. | Jan 1993 | A |
5231550 | Hashimoto | Jul 1993 | A |
5235472 | Smith | Aug 1993 | A |
5251194 | Yoshimoto et al. | Oct 1993 | A |
5252511 | Bhan et al. | Oct 1993 | A |
5254920 | Agarwal et al. | Oct 1993 | A |
5257252 | Barnes et al. | Oct 1993 | A |
5325247 | Ehrlich et al. | Jun 1994 | A |
5339206 | Takahashi | Aug 1994 | A |
5343131 | Baumann | Aug 1994 | A |
5369345 | Phan et al. | Nov 1994 | A |
5371449 | Tajima et al. | Dec 1994 | A |
5373213 | Smith | Dec 1994 | A |
5404252 | Nagasawa et al. | Apr 1995 | A |
5404253 | Painter | Apr 1995 | A |
5404255 | Kobayashi et al. | Apr 1995 | A |
5404492 | Moraru et al. | Apr 1995 | A |
5416646 | Shirai | May 1995 | A |
5426545 | Sidman et al. | Jun 1995 | A |
5444582 | Suzuki | Aug 1995 | A |
5444583 | Ehrlich et al. | Aug 1995 | A |
5459624 | Erickson et al. | Oct 1995 | A |
5465183 | Hattori | Nov 1995 | A |
5469414 | Okamura | Nov 1995 | A |
5473482 | Saito et al. | Dec 1995 | A |
5476015 | Valent | Dec 1995 | A |
5483438 | Nishimura | Jan 1996 | A |
5490120 | Li et al. | Feb 1996 | A |
5585976 | Pham | Dec 1996 | A |
5602689 | Kadlec et al. | Feb 1997 | A |
5616869 | Valent | Apr 1997 | A |
5636193 | Ohmi | Jun 1997 | A |
5638230 | Kadlec | Jun 1997 | A |
5646797 | Kadlec et al. | Jul 1997 | A |
5654840 | Patton et al. | Aug 1997 | A |
5663847 | Abramovitch | Sep 1997 | A |
5667809 | Trevino et al. | Sep 1997 | A |
5668680 | Tremaine | Sep 1997 | A |
5675450 | Kadlec | Oct 1997 | A |
5675558 | Katoh | Oct 1997 | A |
5677609 | Khan et al. | Oct 1997 | A |
5680271 | Yatsu | Oct 1997 | A |
5684650 | Kadlec et al. | Nov 1997 | A |
5684972 | Hill et al. | Nov 1997 | A |
5699207 | Supino et al. | Dec 1997 | A |
5721648 | Phan et al. | Feb 1998 | A |
5731973 | Takaishi et al. | Mar 1998 | A |
5781363 | Rowan et al. | Jul 1998 | A |
5829011 | Glover | Oct 1998 | A |
5831787 | Yoshida et al. | Nov 1998 | A |
5835302 | Funches et al. | Nov 1998 | A |
5844744 | Suzuki et al. | Dec 1998 | A |
5847527 | Iwashiro | Dec 1998 | A |
5847895 | Romano et al. | Dec 1998 | A |
5859742 | Takaishi | Jan 1999 | A |
5867342 | Hattori | Feb 1999 | A |
5870242 | Abe et al. | Feb 1999 | A |
5872674 | Eddy | Feb 1999 | A |
5907450 | Ishikawa | May 1999 | A |
5912782 | Lee et al. | Jun 1999 | A |
5914829 | Kadlec et al. | Jun 1999 | A |
5914830 | Kadlec et al. | Jun 1999 | A |
5917672 | Pham et al. | Jun 1999 | A |
5926340 | Sim | Jul 1999 | A |
5930068 | Gregg et al. | Jul 1999 | A |
5940239 | Lee et al. | Aug 1999 | A |
5949605 | Lee et al. | Sep 1999 | A |
5949608 | Hunter | Sep 1999 | A |
5963393 | Rowan et al. | Oct 1999 | A |
5978752 | Morris | Nov 1999 | A |
5999361 | Kim | Dec 1999 | A |
6002544 | Yatsu | Dec 1999 | A |
6005742 | Cunningham et al. | Dec 1999 | A |
6023390 | Kang | Feb 2000 | A |
6028409 | Wierda | Feb 2000 | A |
6029095 | Boissy et al. | Feb 2000 | A |
6031684 | Gregg | Feb 2000 | A |
6046878 | Liu et al. | Apr 2000 | A |
6052252 | Kim | Apr 2000 | A |
6061200 | Shepherd et al. | May 2000 | A |
6072654 | Eddy | Jun 2000 | A |
6084742 | Takaishi et al. | Jul 2000 | A |
6088186 | Carlson | Jul 2000 | A |
6088187 | Takaishi | Jul 2000 | A |
6088188 | Serrano et al. | Jul 2000 | A |
6091567 | Cooper et al. | Jul 2000 | A |
6097564 | Hunter | Aug 2000 | A |
6097565 | Sri-Jayantha et al. | Aug 2000 | A |
6101058 | Morris | Aug 2000 | A |
6122135 | Stich | Sep 2000 | A |
6166871 | Takaishi | Dec 2000 | A |
6166876 | Liu | Dec 2000 | A |
6169641 | Hayner | Jan 2001 | B1 |
6185171 | Bassett et al. | Feb 2001 | B1 |
6185467 | Romano et al. | Feb 2001 | B1 |
6211638 | Heaton et al. | Apr 2001 | B1 |
6219196 | Semba et al. | Apr 2001 | B1 |
6219198 | Dobbek et al. | Apr 2001 | B1 |
6239940 | Sasamoto et al. | May 2001 | B1 |
6243226 | Jeong | Jun 2001 | B1 |
6252364 | Chiang et al. | Jun 2001 | B1 |
6256163 | Schmidt et al. | Jul 2001 | B1 |
6282052 | Galloway et al. | Aug 2001 | B1 |
6295507 | Sasamoto et al. | Sep 2001 | B1 |
6304409 | Allsup | Oct 2001 | B1 |
6310743 | Haines et al. | Oct 2001 | B1 |
6310747 | Emo et al. | Oct 2001 | B1 |
6313964 | Lamberts et al. | Nov 2001 | B1 |
6320721 | Magee et al. | Nov 2001 | B1 |
6347017 | Carlson | Feb 2002 | B1 |
6347018 | Kadlec et al. | Feb 2002 | B1 |
6369972 | Codilian et al. | Apr 2002 | B1 |
6381088 | Despain et al. | Apr 2002 | B1 |
6384994 | Smith et al. | May 2002 | B1 |
6389384 | Hampshire et al. | May 2002 | B1 |
6404581 | Shah | Jun 2002 | B1 |
6414813 | Cvancara | Jul 2002 | B2 |
6414827 | Young et al. | Jul 2002 | B1 |
6421200 | Takaishi | Jul 2002 | B2 |
6437936 | Chen et al. | Aug 2002 | B1 |
6441988 | Kang et al. | Aug 2002 | B2 |
6465981 | Zhang et al. | Oct 2002 | B2 |
6490118 | Ell et al. | Dec 2002 | B1 |
6504670 | Dittmar | Jan 2003 | B1 |
6519109 | Price et al. | Feb 2003 | B1 |
6525897 | Despain et al. | Feb 2003 | B2 |
6538839 | Ryan | Mar 2003 | B1 |
6549364 | Shih | Apr 2003 | B1 |
6563665 | Ell | May 2003 | B1 |
6563666 | LaPanse | May 2003 | B1 |
6570733 | Waugh et al. | May 2003 | B1 |
6576070 | Kaneoka | Jun 2003 | B2 |
6577462 | Hamada et al. | Jun 2003 | B1 |
6578106 | Price | Jun 2003 | B1 |
6580579 | Hsin et al. | Jun 2003 | B1 |
6580581 | Bui et al. | Jun 2003 | B1 |
6590734 | Ell | Jul 2003 | B1 |
6594117 | Dague et al. | Jul 2003 | B2 |
6597532 | Usui et al. | Jul 2003 | B1 |
6674600 | Codilian et al. | Jan 2004 | B1 |
6680813 | Dague et al. | Jan 2004 | B2 |
6693764 | Sheh et al. | Feb 2004 | B1 |
6704160 | Takakura | Mar 2004 | B2 |
6724563 | Kobayashi et al. | Apr 2004 | B2 |
6724564 | Codilian et al. | Apr 2004 | B1 |
6728061 | Takaishi | Apr 2004 | B2 |
6744591 | Nakagawa et al. | Jun 2004 | B2 |
6751045 | Morris et al. | Jun 2004 | B1 |
6760172 | Hamaguchi et al. | Jul 2004 | B1 |
6768607 | Ottesen et al. | Jul 2004 | B2 |
6785075 | Bryant et al. | Aug 2004 | B2 |
6785087 | Saito | Aug 2004 | B2 |
6785204 | Okuyama et al. | Aug 2004 | B1 |
6791785 | Messenger et al. | Sep 2004 | B1 |
6822825 | Herndon et al. | Nov 2004 | B2 |
6826002 | Yanagimoto | Nov 2004 | B2 |
6831809 | Kagami et al. | Dec 2004 | B2 |
6839194 | Koyanagi | Jan 2005 | B2 |
6847503 | Zhang et al. | Jan 2005 | B2 |
6847598 | Ikai | Jan 2005 | B2 |
6870342 | Naik | Mar 2005 | B2 |
6873490 | Guo et al. | Mar 2005 | B2 |
6876168 | Luo et al. | Apr 2005 | B1 |
6898046 | Sri-Jayantha et al. | May 2005 | B2 |
6898069 | Yamaguchi et al. | May 2005 | B2 |
20010036026 | Chen et al. | Nov 2001 | A1 |
20030007276 | Satoh | Jan 2003 | A1 |
20030058571 | Kisaka | Mar 2003 | A1 |
20030218819 | Sri-Jayantha et al. | Nov 2003 | A1 |
20030218822 | Sri-Jayantha et al. | Nov 2003 | A1 |
20030218823 | Dang et al. | Nov 2003 | A1 |
20040080860 | Inaji | Apr 2004 | A1 |
20040233569 | Chung | Nov 2004 | A1 |
20050041331 | Bement et al. | Feb 2005 | A1 |
20050105205 | Suzuki | May 2005 | A1 |
20050111131 | Anderson et al. | May 2005 | A1 |
20060002251 | Yoshikawa et al. | Jan 2006 | A1 |
20060176605 | Baek et al. | Aug 2006 | A1 |
Number | Date | Country | |
---|---|---|---|
20070064334 A1 | Mar 2007 | US |