This invention is directed generally to displays that use light emissive devices such as OLEDs and, more particularly, to extracting characterization correlation curves under different stress conditions in such displays to compensate for aging of the light emissive devices.
Currently, active matrix organic light emitting device (“AMOLED”) displays are being introduced for numerous applications. The advantages of such displays include lower power consumption, manufacturing flexibility, and faster refresh rate over conventional liquid crystal displays. In contrast to conventional liquid crystal displays, there is no backlighting in an AMOLED display as each pixel consists of different colored OLEDs emitting light independently. The OLEDs emit light based on current supplied through a drive transistor. The drive transistor is typically a thin film transistor (TFT). The power consumed in each pixel has a direct relation with the magnitude of the generated light in that pixel.
The drive-in current of the drive transistor determines the pixel's OLED luminance. Since the pixel circuits are voltage programmable, the spatial-temporal thermal profile of the display surface changing the voltage-current characteristic of the drive transistor impacts the quality of the display. Proper corrections may be applied to the video stream in order to compensate for the unwanted thermal-driven visual effects.
During operation of an organic light emitting diode device, it undergoes degradation, which causes light output at a constant current to decrease over time. The OLED device also undergoes an electrical degradation, which causes the current to drop at a constant bias voltage over time. These degradations are caused primarily by stress related to the magnitude and duration of the applied voltage on the OLED and the resulting current passing through the device. Such degradations are compounded by contributions from the environmental factors such as temperature, humidity, or presence of oxidants over time. The aging rate of the thin film transistor devices is also environmental and stress (bias) dependent. The aging of the drive transistor and the OLED may be properly determined via calibrating the pixel against stored historical data from the pixel at previous times to determine the aging effects on the pixel. Accurate aging data is therefore necessary throughout the lifetime of the display device.
In one compensation technique for OLED displays, the aging (and/or uniformity) of a panel of pixels is extracted and stored in lookup tables as raw or processed data. Then a compensation module uses the stored data to compensate for any shift in electrical and optical parameters of the OLED (e.g., the shift in the OLED operating voltage and the optical efficiency) and the backplane (e.g., the threshold voltage shift of the TFT), hence the programming voltage of each pixel is modified according to the stored data and the video content. The compensation module modifies the bias of the driving TFT in a way that the OLED passes enough current to maintain the same luminance level for each gray-scale level. In other words, a correct programming voltage properly offsets the electrical and optical aging of the OLED as well as the electrical degradation of the TFT.
The electrical parameters of the backplane TFTs and OLED devices are continuously monitored and extracted throughout the lifetime of the display by electrical feedback-based measurement circuits. Further, the optical aging parameters of the OLED devices are estimated from the OLED' s electrical degradation data. However, the optical aging effect of the OLED is dependent on the stress conditions placed on individual pixels as well, and since the stresses vary from pixel to pixel, accurate compensation is not assured unless the compensation tailored for a specific stress level is determined.
There is therefore a need for efficient extraction of characterization correlation curves of the optical and electrical parameters that are accurate for stress conditions on active pixels for compensation for aging and other effects. There is also a need for having a variety of characterization correlation curves for a variety of stress conditions that the active pixels may be subjected to during operation of the display. There is a further need for accurate compensation systems for pixels in an organic light emitting device based display.
In accordance with one example, a method for determining a characterization correlation curve for aging compensation for an organic light emitting device (OLED) based pixel in a display is disclosed. A first stress condition is applied to a reference device. A baseline optical characteristic and a baseline electrical characteristic of the reference device are stored. An output voltage based on a reference current to determine an electrical characteristic of the reference device is periodically measured. The luminance of the reference device is periodically measured to determine an optical characteristic of the reference device. A characterization correlation curve corresponding to the first stress condition based on the baseline optical and electrical characteristics and the determined electrical and optical characteristics of the reference device is determined. The characterization correlation curve corresponding to the first stress condition is stored.
Another example is a display system for compensating of aging effects. The display system includes a plurality of active pixels displaying an image, the active pixels each including a drive transistor and an organic light emitting diode (OLED). A memory stores a first characterization correlation curve for a first predetermined stress condition and a second characterization correlation curve for a second predetermined stress condition. A controller is coupled to the plurality of active pixels. The controller determines a stress condition on one of the active pixels, the stress condition falling between the first and second predetermined stress conditions. The controller determines a compensation factor to apply to a programming voltage based on the characterization correlation curves of the first and second stress conditions.
Another example is a method of determining a characterization correlation curve for an OLED device in a display. A first characterization correlation curve based on a first group of reference pixels at a predetermined high stress condition is stored. A second characterization correlation curve based on a second group of reference pixels at a predetermined low stress condition is stored. A stress level of an active pixel falling between the high and low stress conditions is determined. A compensation factor based on the stress on the active pixel is determined. The compensation factor is based on the stress on the active pixel and the first and second characterization correlation curve. A programming voltage to the active pixel is adjusted based on the characterization correlation curve.
Additional aspects of the invention will be apparent to those of ordinary skill in the art in view of the detailed description of various embodiments, which is made with reference to the drawings, a brief description of which is provided below.
The invention may best be understood by reference to the following description taken in conjunction with the accompanying drawings.
While the invention is susceptible to various modifications and alternative forms, specific embodiments have been shown by way of example in the drawings and will be described in detail herein. It should be understood, however, that the invention is not intended to be limited to the particular forms disclosed. Rather, the invention is to cover all modifications, equivalents, and alternatives falling within the spirit and scope of the invention as defined by the appended claims.
The display system 100 may also include a current source circuit, which supplies a fixed current on current bias lines. In some configurations, a reference current can be supplied to the current source circuit. In such configurations, a current source control controls the timing of the application of a bias current on the current bias lines. In configurations in which the reference current is not supplied to the current source circuit, a current source address driver controls the timing of the application of a bias current on the current bias lines.
As is known, each pixel 104 in the display system 100 needs to be programmed with information indicating the brightness of the light emitting device in the pixel 104. A frame defines the time period that includes a programming cycle or phase during which each and every pixel in the display system 100 is programmed with a programming voltage indicative of a brightness and a driving or emission cycle or phase during which each light emitting device in each pixel is turned on to emit light at a brightness commensurate with the programming voltage stored in a storage element. A frame is thus one of many still images that compose a complete moving picture displayed on the display system 100. There are at least two schemes for programming and driving the pixels: row-by-row, or frame-by-frame. In row-by-row programming, a row of pixels is programmed and then driven before the next row of pixels is programmed and driven. In frame-by-frame programming, all rows of pixels in the display system 100 are programmed first, and all of the frames are driven row-by-row. Either scheme can employ a brief vertical blanking time at the beginning or end of each period during which the pixels are neither programmed nor driven.
The components located outside of the pixel array 102 may be disposed in a peripheral area 106 around the pixel array 102 on the same physical substrate on which the pixel array 102 is disposed. These components include the gate driver 108, the source driver 110, and the optional supply voltage control 114. Alternately, some of the components in the peripheral area can be disposed on the same substrate as the pixel array 102 while other components are disposed on a different substrate, or all of the components in the peripheral area can be disposed on a substrate different from the substrate on which the pixel array 102 is disposed. Together, the gate driver 108, the source driver 110, and the supply voltage control 114 make up a display driver circuit. The display driver circuit in some configurations may include the gate driver 108 and the source driver 110 but not the supply voltage control 114.
The display system 100 further includes a current supply and readout circuit 120, which reads output data from data output lines, VD [k], VD [k+1], and so forth, one for each column of active pixels 104 in the pixel array 102. A set of optional reference devices such as reference pixels 130 is fabricated on the edge of the pixel array 102 outside the active pixels 104 in the peripheral area 106. The reference pixels 130 also may receive input signals from the controller 112 and may output data signals to the current supply and readout circuit 120. The reference pixels 130 include the drive transistor and an OLED but are not part of the pixel array 102 that displays images. As will be explained below, different groups of reference pixels 130 are placed under different stress conditions via different current levels from the current supply circuit 120. Because the reference pixels 130 are not part of the pixel array 102 and thus do not display images, the reference pixels 130 may provide data indicating the effects of aging at different stress conditions. Although only one row and column of reference pixels 130 is shown in
The reference pixel 130 may be stressed at a certain current level by applying a constant voltage to the programming voltage input line 216. As will be explained below, the voltage output measured from the monitoring line 218 based on a reference voltage applied to the programming voltage input line 216 allows the determination of electrical characterization data for the applied stress conditions over the time of operation of the reference pixel 130. Alternatively, the monitor line 218 and the programming voltage input line 216 may be merged into one line (i.e., Data/Mon) to carry out both the programming and monitoring functions through that single line. The output of the photo-sensor 132 allows the determination of optical characterization data for stress conditions over the time of operation for the reference pixel 130.
The display system 100 in
As the OLED material of an active pixel 104 ages, the voltage required to maintain a constant current for a given level through the OLED increases. To compensate for electrical aging of the OLEDs, the memory 118 stores the required compensation voltage of each active pixel to maintain a constant current. It also stores data in the form of characterization correlation curves for different stress conditions that is utilized by the controller 112 to determine compensation voltages to modify the programming voltages to drive each OLED of the active pixels 104 to correctly display a desired output level of luminance by increasing the OLED's current to compensate for the optical aging of the OLED. In particular, the memory 118 stores a plurality of predefined characterization correlation curves or functions, which represent the degradation in luminance efficiency for OLEDs operating under different predetermined stress conditions. The different predetermined stress conditions generally represent different types of stress or operating conditions that an active pixel 104 may undergo during the lifetime of the pixel. Different stress conditions may include constant current requirements at different levels from low to high, constant luminance requirements from low to high, or a mix of two or more stress levels. For example, the stress levels may be at a certain current for some percentage of the time and another current level for another percentage of the time. Other stress levels may be specialized such as a level representing an average streaming video displayed on the display system 100. Initially, the base line electrical and optical characteristics of the reference devices such as the reference pixels 130 at different stress conditions are stored in the memory 118. In this example, the baseline optical characteristic and the baseline electrical characteristic of the reference device are measured from the reference device immediately after fabrication of the reference device.
Each such stress condition may be applied to a group of reference pixels such as the reference pixels 130 by maintaining a constant current through the reference pixel 130 over a period of time, maintaining a constant luminance of the reference pixel 130 over a period of time, and/or varying the current through or luminance of the reference pixel at different predetermined levels and predetermined intervals over a period of time. The current or luminance level(s) generated in the reference pixel 130 can be, for example, high values, low values, and/or average values expected for the particular application for which the display system 100 is intended. For example, applications such as a computer monitor require high values. Similarly, the period(s) of time for which the current or luminance level(s) are generated in the reference pixel may depend on the particular application for which the display system 100 is intended.
It is contemplated that the different predetermined stress conditions are applied to different reference pixels 130 during the operation of the display system 100 in order to replicate aging effects under each of the predetermined stress conditions. In other words, a first predetermined stress condition is applied to a first set of reference pixels, a second predetermined stress condition is applied to a second set of reference pixels, and so on. In this example, the display system 100 has groups of reference pixels 130 that are stressed under 16 different stress conditions that range from a low current value to a high current value for the pixels. Thus, there are 16 different groups of reference pixels 130 in this example. Of course, greater or lesser numbers of stress conditions may be applied depending on factors such as the desired accuracy of the compensation, the physical space in the peripheral area 106, the amount of processing power available, and the amount of memory for storing the characterization correlation curve data.
By continually subjecting a reference pixel or group of reference pixels to a stress condition, the components of the reference pixel are aged according to the operating conditions of the stress condition. As the stress condition is applied to the reference pixel during the operation of the system 100, the electrical and optical characteristics of the reference pixel are measured and evaluated to determine data for determining correction curves for the compensation of aging in the active pixels 104 in the array 102. In this example, the optical characteristics and electrical characteristics are measured once an hour for each group of reference pixels 130. The corresponding characteristic correlation curves are therefore updated for the measured characteristics of the reference pixels 130. Of course, these measurements may be made in shorter periods of time or for longer periods of time depending on the accuracy desired for aging compensation.
Generally, the luminance of the OLED 204 has a direct linear relationship with the current applied to the OLED 204. The optical characteristic of an OLED may be expressed as:
L=O*I
In this equation, luminance, L, is a result of a coefficient, O, based on the properties of the OLED multiplied by the current I. As the OLED 204 ages, the coefficient O decreases and therefore the luminance decreases for a constant current value. The measured luminance at a given current may therefore be used to determine the characteristic change in the coefficient, O, due to aging for a particular OLED 204 at a particular time for a predetermined stress condition.
The measured electrical characteristic represents the relationship between the voltage provided to the drive transistor 202 and the resulting current through the OLED 204. For example, the change in voltage required to achieve a constant current level through the OLED of the reference pixel may be measured with a voltage sensor or thin film transistor such as the monitoring transistor 210 in
I=k*(V−e)a
In this equation, the current is determined by a constant, k, multiplied by the input voltage, V, minus a coefficient, e, which represents the electrical characteristics of the drive transistor 202. The voltage therefore has a power law relation by the variable, a, to the current, I. As the transistor 202 ages, the coefficient, e, increases thereby requiring greater voltage to produce the same current. The measured current from the reference pixel may therefore be used to determine the value of the coefficient, e, for a particular reference pixel at a certain time for the stress condition applied to the reference pixel.
As explained above, the optical characteristic, O, represents the relationship between the luminance generated by the OLED 204 of the reference pixel 130 as measured by the photo sensor 132 and the current through the OLED 204 in
Then by using the electrical and optical characteristics measured from the reference pixel, a characterization correlation curve (or function) is determined for the predetermined stress condition over time. The characterization correlation curve provides a quantifiable relationship between the optical degradation and the electrical aging expected for a given pixel operating under the stress condition. More particularly, each point on the characterization correlation curve determines the correlation between the electrical and optical characteristics of an OLED of a given pixel under the stress condition at a given time where measurements are taken from the reference pixel 130. The characteristics may then be used by the controller 112 to determine appropriate compensation voltages for active pixels 104 that have been aged under the same stress conditions as applied to the reference pixels 130. In another example, the baseline optical characteristic may be periodically measured from a base OLED device at the same time as the optical characteristic of the OLED of the reference pixel is being measured. The base OLED device either is not being stressed or being stressed on a known and controlled rate. This will eliminate any environmental effect on the reference OLED characterization.
Due to manufacturing processes and other factors known to those skilled in the art, each reference pixel 130 of the display system 100 may not have uniform characteristics, resulting in different emitting performances. One technique is to average the values for the electrical characteristics and the values of the luminance characteristics obtained by a set of reference pixels under a predetermined stress condition. A better representation of the effect of the stress condition on an average pixel is obtained by applying the stress condition to a set of the reference pixels 130 and applying a polling-averaging technique to avoid defects, measurement noise, and other issues that can arise during application of the stress condition to the reference pixels. For example, faulty values such as those determined due to noise or a dead reference pixel may be removed from the averaging. Such a technique may have predetermined levels of luminance and electrical characteristics that must be met before inclusion of those values in the averaging. Additional statistical regression techniques may also be utilized to provide less weight to electrical and optical characteristic values that are significantly different from the other measured values for the reference pixels under a given stress condition.
In this example, each of the stress conditions is applied to a different set of reference pixels. The optical and electrical characteristics of the reference pixels are measured, and a polling-averaging technique and/or a statistical regression technique are applied to determine different characterization correlation curves corresponding to each of the stress conditions. The different characterization correlation curves are stored in the memory 118. Although this example uses reference devices to determine the correlation curves, the correlation curves may be determined in other ways such as from historical data or predetermined by a manufacturer.
During the operation of the display system 100, each group of the reference pixels 130 may be subjected to the respective stress conditions and the characterization correlation curves initially stored in the memory 118 may be updated by the controller 112 to reflect data taken from the reference pixels 130 that are subject to the same external conditions as the active pixels 104. The characterization correlation curves may thus be tuned for each of the active pixels 104 based on measurements made for the electrical and luminance characteristics of the reference pixels 130 during operation of the display system 100. The electrical and luminance characteristics for each stress condition are therefore stored in the memory 118 and updated during the operation of the display system 100. The storage of the data may be in a piecewise linear model. In this example, such a piecewise linear model has 16 coefficients that are updated as the reference pixels 130 are measured for voltage and luminance characteristics. Alternatively, a curve may be determined and updated using linear regression or by storing data in a look up table in the memory 118.
To generate and store a characterization correlation curve for every possible stress condition would be impractical due to the large amount of resources (e.g., memory storage, processing power, etc.) that would be required. The disclosed display system 100 overcomes such limitations by determining and storing a discrete number of characterization correlation curves at predetermined stress conditions and subsequently combining those predefined characterization correlation curves using linear or nonlinear algorithm(s) to synthesize a compensation factor for each pixel 104 of the display system 100 depending on the particular operating condition of each pixel. As explained above, in this example there are a range of 16 different predetermined stress conditions and therefore 16 different characterization correlation curves stored in the memory 118.
For each pixel 104, the display system 100 analyzes the stress condition being applied to the pixel 104, and determines a compensation factor using an algorithm based on the predefined characterization correlation curves and the measured electrical aging of the panel pixels. The display system 100 then provides a voltage to the pixel based on the compensation factor. The controller 112 therefore determines the stress of a particular pixel 104 and determines the closest two predetermined stress conditions and attendant characteristic data obtained from the reference pixels 130 at those predetermined stress conditions for the stress condition of the particular pixel 104. The stress condition of the active pixel 104 therefore falls between a low predetermined stress condition and a high predetermined stress condition.
The following examples of linear and nonlinear equations for combining characterization correlation curves are described in terms of two such predefined characterization correlation curves for ease of disclosure; however, it is to be understood that any other number of predefined characterization correlation curves can be utilized in the exemplary techniques for combining the characterization correlation curves. The two exemplary characterization correlation curves include a first characterization correlation curve determined for a high stress condition and a second characterization correlation curve determined for a low stress condition.
The ability to use different characterization correlation curves over different levels provides accurate compensation for active pixels 104 that are subjected to different stress conditions than the predetermined stress conditions applied to the reference pixels 130.
The limited number of reference pixels 130 and corresponding limited numbers of stress conditions may require the use of averaging or continuous (moving) averaging for the specific stress condition of each active pixel 104. The specific stress conditions may be mapped for each pixel as a linear combination of characteristic correlation curves from several reference pixels 130. The combinations of two characteristic curves at predetermined stress conditions allow accurate compensation for all stress conditions occurring between such stress conditions. For example, the two reference characterization correlation curves for high and low stress conditions allow a close characterization correlation curve for an active pixel having a stress condition between the two reference curves to be determined. The first and second reference characterization correlation curves stored in the memory 118 are combined by the controller 112 using a weighted moving average algorithm. A stress condition at a certain time St (ti) for an active pixel may be represented by:
St(ti)=(St(ti−1)*kavg+L(ti))/(kavg+1)
In this equation, St(ti−1) is the stress condition at a previous time, kavg is a moving average constant. L(ti) is the measured luminance of the active pixel at the certain time, which may be determined by:
In this equation, Lpeak is the highest luminance permitted by the design of the display system 100. The variable, g(ti) is the grayscale at the time of measurement, gpeak is the highest grayscale value of use (e.g. 255) and γ is a gamma constant. A weighted moving average algorithm using the characterization correlation curves of the predetermined high and low stress conditions may determine the compensation factor, Kcomp, via the following equation:
Kcomp=Khighfhigh(ΔI)+Klowflow(ΔI)
In this equation, fhigh is the first function corresponding to the characterization correlation curve for a high predetermined stress condition and flow is the second function corresponding to the characterization correlation curve for a low predetermined stress condition. ΔI is the change in the current in the OLED for a fixed voltage input, which shows the change (electrical degradation) due to aging effects measured at a particular time. It is to be understood that the change in current may be replaced by a change in voltage, ΔV, for a fixed current. Khigh is the weighted variable assigned to the characterization correlation curve for the high stress condition and Klow is the weight assigned to the characterization correlation curve for the low stress condition. The weighted variables Khigh and Klow may be determined from the following equations:
Khigh=St(ti)/Lhigh
Klow=1−Khigh
Where Lhigh is the luminance that was associated with the high stress condition.
The change in voltage or current in the active pixel at any time during operation represents the electrical characteristic while the change in current as part of the function for the high or low stress condition represents the optical characteristic. In this example, the luminance at the high stress condition, the peak luminance, and the average compensation factor (function of difference between the two characterization correlation curves), Kavg, are stored in the memory 118 for determining the compensation factors for each of the active pixels. Additional variables are stored in the memory 118 including, but not limited to, the grayscale value for the maximum luminance permitted for the display system 100 (e.g., grayscale value of 255). Additionally, the average compensation factor, Kavg, may be empirically determined from the data obtained during the application of stress conditions to the reference pixels.
As such, the relationship between the optical degradation and the electrical aging of any pixel 104 in the display system 100 may be tuned to avoid errors associated with divergence in the characterization correlation curves due to different stress conditions. The number of characterization correlation curves stored may also be minimized to a number providing confidence that the averaging technique will be sufficiently accurate for required compensation levels.
The compensation factor, Kcomp can be used for compensation of the OLED optical efficiency aging for adjusting programming voltages for the active pixel. Another technique for determining the appropriate compensation factor for a stress condition on an active pixel may be termed dynamic moving averaging. The dynamic moving averaging technique involves changing the moving average coefficient, Kavg, during the lifetime of the display system 100 to compensate between the divergence in two characterization correlation curves at different predetermined stress conditions in order to prevent distortions in the display output. As the OLEDs of the active pixels age, the divergence between two characterization correlation curves at different stress conditions increases. Thus, Kavg may be increased during the lifetime of the display system 100 to avoid a sharp transition between the two curves for an active pixel having a stress condition falling between the two predetermined stress conditions. The measured change in current, ΔI , may be used to adjust the Kavg value to improve the performance of the algorithm to determine the compensation factor.
Another technique to improve performance of the compensation process termed event-based moving averaging is to reset the system after each aging step. This technique further improves the extraction of the characterization correlation curves for the OLEDs of each of the active pixels 104. The display system 100 is reset after every aging step (or after a user turns on or off the display system 100). In this example, the compensation factor, Kcomp is determined by
Kcomp=Kcomp_evt+Khigh(fhigh(ΔI)−fhigh(ΔIevt))+Klow(flow(ΔI)−flow(ΔI))
In this equation, Kcomp_evt is the compensation factor calculated at a previous time, and ΔI evt is the change in the OLED current during the previous time at a fixed voltage. As with the other compensation determination technique, the change in current may be replaced with the change in an OLED voltage change under a fixed current.
As explained above, an electrical characteristic of a first set of sample pixels is measured. For example, the electrical characteristic of each of the first set of sample pixels can be measured by a thin film transistor (TFT) connected to each pixel. Alternatively, for example, an optical characteristic (e.g., luminance) can be measured by a photo sensor provided to each of the first set of sample pixels. The amount of change required in the brightness of each pixel can be extracted from the shift in voltage of one or more of the pixels. This may be implemented by a series of calculations to determine the correlation between shifts in the voltage or current supplied to a pixel and/or the brightness of the light-emitting material in that pixel.
The above described methods of extracting characteristic correlation curves for compensating aging of the pixels in the array may be performed by a processing device such as the controller 112 in
In addition, two or more computing systems or devices may be substituted for any one of the controllers described herein. Accordingly, principles and advantages of distributed processing, such as redundancy, replication, and the like, also can be implemented, as desired, to increase the robustness and performance of controllers described herein.
The operation of the example characteristic correlation curves for compensating aging methods may be performed by machine readable instructions. In these examples, the machine readable instructions comprise an algorithm for execution by: (a) a processor, (b) a controller, and/or (c) one or more other suitable processing device(s). The algorithm may be embodied in software stored on tangible media such as, for example, a flash memory, a CD-ROM, a floppy disk, a hard drive, a digital video (versatile) disk (DVD), or other memory devices, but persons of ordinary skill in the art will readily appreciate that the entire algorithm and/or parts thereof could alternatively be executed by a device other than a processor and/or embodied in firmware or dedicated hardware in a well-known manner (e.g., it may be implemented by an application specific integrated circuit (ASIC), a programmable logic device (PLD), a field programmable logic device (FPLD), a field programmable gate array (FPGA), discrete logic, etc.). For example, any or all of the components of the characteristic correlation curves for compensating aging methods could be implemented by software, hardware, and/or firmware. Also, some or all of the machine readable instructions represented may be implemented manually.
Referring to
While particular embodiments, aspects, and applications of the present invention have been illustrated and described, it is to be understood that the invention is not limited to the precise construction and compositions disclosed herein and that various modifications, changes, and variations may be apparent from the foregoing descriptions without departing from the spirit and scope of the invention as defined in the appended claims.
| Number | Date | Country | Kind |
|---|---|---|---|
| 2692097 | Feb 2010 | CA | national |
This application is a continuation of, and claims priority to, U.S. patent application Ser. No. 13/020,252, filed Feb. 3, 2011, now allowed, which is hereby incorporated by reference herein in its entirety, and which in turn claims priority to.
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| Number | Date | Country | |
|---|---|---|---|
| 20140015824 A1 | Jan 2014 | US |
| Number | Date | Country | |
|---|---|---|---|
| Parent | 13020252 | Feb 2011 | US |
| Child | 14027811 | US |