This invention relates, generally, to capacitive load compensation. More specifically, this invention relates to load compensation of an operational transconductance amplifier (OTA) when the capacitive load at the amplifier output varies in either predictable or random manner.
In some systems, a capacitive load may vary greatly. In general, the capacitive load may vary over time in a predictable or random manner. A voltage source which is referred to ground is typically utilized to supply a constant reference is voltage to the varying capacitive load. As the capacitive load varies, the charge required by the voltage source will vary. Due to a high impedance output, the voltage source is current limited, and therefore cannot sink or source large amounts of charge in short periods of time. This current sinking limitation may cause a drop in the desired reference voltage across the capacitive load, which may yield undesired system behavior.
One method of combating this current limitation is the use of a buffer. Generally, the buffer has voltage feedback which lowers the output impedance and provides unity gain. This feedback configuration is capable of outputting a large amount of current when required. When the required capacitive charge varies, the buffer is able to supply sufficient current to the capacitors, whereas an un-buffered voltage source could not. The response of the buffer is an important concern, particularly because feedback may cause instability. In general, as the charge required of the capacitive load varies and the output of the buffer is driven away from the reference voltage, the output of the buffer should return to the reference voltage quickly without excessive ringing or overshooting. To obtain a stable response without ringing or overshooting, the buffer should have a phase margin that is sufficient for all charge conditions.
The present invention provides an improved load compensation system. Furthermore, as described below, the invention provides compensation to loads that vary in either a predictable or a random manner.
As will be described, the present invention provides an adaptive load compensation system for a varying load of capacitors, which are selectively coupled in parallel to a node. The present invention includes a buffer having multiple transistors selectively coupled in parallel to the same node, wherein the number of transistors selectively coupled to the node depends on the number of capacitors selectively coupled to the node. In general, the number of transistors connected to the node increases with the number of capacitors connected to the node.
Referring first to
Each of the capacitors of the load is connected in parallel to common node 110. One end of each capacitor has an electrical potential responsive to voltage source 116. The other end of each capacitor has an electrical potential responsive to common node 110 of buffer 104. Buffer 104 has an input reference voltage Vref applied to positive terminal 106 and an output voltage at common node 110 applied to negative terminal 108. As will be appreciated, such a configuration, results in buffer 104 behaving as a voltage follower.
It will be understood that buffer 104 is configured to have a unity gain. Accordingly, input voltage Vref is translated almost directly to output node 110 without amplification or attenuation. As capacitive load 120 varies during operation, buffer 104 maintains an approximately constant voltage Vref at output node 110, by adaptively varying the output current to match the capacitive load requirement.
One embodiment of buffer 104 includes the two stages of gain as shown in
The values of capacitive load 218 (CL) and the transconductance of amplifier 212 (gm2) are then used to determine the second pole (ω2) of buffer 104 as follows:
In order to obtain settling with minimal overshooting for buffer 104, the ratio of the second pole (ω2) to GBW preferably should be greater than or equal to three (3). The calculation is as follows:
Miller compensation capacitor 208 maintains settling, however, it also consumes a large amount of area on a chip, as well as a large amount of power. In addition, the Miller compensation capacitor transfers an attenuated version of the power supply noise to output 210 via output stage amplifier 212. Therefore, Miller compensation is not a preferred solution. In general, buffer 104 with Miller compensation as shown in
Buffer 104 can alternatively be designed with a single stage amplifier that utilizes the capacitive load to obtain stability. Specifically, the single stage amplifier is designed to be stable for a specified minimum capacitive load and to obtain settling time for a specified maximum capacitive load. Accordingly, it may be difficult for the system to achieve both stability and settling time, when the capacitive load varies by a large amount.
An example of a system subjected to a large variation in its capacitive load is an imager circuit. A first example of an imager circuit is a buffer driving the back plates of a multiple column capacitors during a pixel readout as shown in
Ceff=Cgs(1−A)
During read out, the gate-source capacitance Cgs of source follower 430 acts as a Miller capacitance. The gate source capacitance Cgs, does not significantly contribute to the effective capacitance Ceff, because gain A of source follower 430 is typically set between 0.8 and 0.9. By setting gain A of the amplifier close to unity, the above equation tends to zero.
During the sampling of a row of pixels, SHR 410 and SHS 409 are asserted. During this sampling time, the back plates of capacitors 406 and 438 are set to reference voltage 420 via SH_VCL switch 418, capacitor 416 and unity gain buffer 414. When the pixel difference is read out and converted by an ADC, however, reference voltage 420 is not connected to the back plates of capacitors 406 and 438. Noise contained in the reference voltage is sampled and filtered by SH_VCL switch 418 and capacitor 416 before SHR and SHS. Furthermore, any voltage component of the resulting buffer output 422 that is the same at the end of SHR and SHS is removed by a correlated double sampling procedure.
In general, the back plate voltage supplied by buffer 414 is known as the common mode voltage which is utilized during both sampling and readout. By maintaining a common mode voltage larger than ground, the risk for minority carrier injection is reduced. Another benefit to a common mode voltage larger than ground is that the shift between sampling and readout is smaller. If the shift is large, a parasitic mismatch will translate part of the common mode voltage shift into an undesired differential signal.
A second example of an imager circuit is the column parallel signal chain shown in
An exemplary implementation of buffer 414 for the imagers shown in
The operation of OTA 520 may be better understood by referring to a simplified diagram of amplifier 726 shown in
Amplifier 726 may be approximated by a two pole system. In order to maintain stability and provide an adequate settling time for amplifier 726, the second pole may be set 2-3 times higher in frequency than the unity gain frequency of the amplifier. The second pole of the system may be calculated as a ratio of the transconductance of transistor 716 to the capacitance of capacitor 718. Capacitor 718 is largely due to the gate-source capacitance of transistor 720, the latter being the output transistor of amplifier 726. The unity gain frequency may be calculated as a ratio between the total transconductance of amplifier 726 and the capacitance of capacitive load 722. Next, the total transconductance of amplifier 726 may be approximated by multiplying the transconductance of transistors 708 and 710 by the size ratio between transistors 716 and 720.
Because of the dependency on the output current mirror produced by transistors 716 and 720, the transconductance of amplifier 726 and the capacitive value of capacitor 718 scale almost linearly with the size of output transistor 720. Thus, when the capacitive load varies, which also varies the unity gain frequency, scaling the size of output transistor 720 advantageously maintains a proper ratio between the second pole and the unity gain frequency to ensure system stability and good settling time.
In operation, the transistors of circuit 728 may be in one of two states depending on the position of the switches. In general, if a switch connected to a respective gate of a transistor is connected to the input terminal Vin, the transistor is on and conducting, thus increasing the size of the output stage. If the switch, however, is connected to a ground reference, the transistor is off and not conducting, thus not affecting the size of the output stage. It will be noted that the size of the output stage is directly dependent on the number of conducting transistors. Accordingly, the size of output transistor 720 may be scaled larger or smaller by connecting a predetermined number of transistors to either the Vin or the ground reference, respectively.
Settling time of the amplifier may be improved by holding the gates of the output transistors at a voltage other than ground.
By dividing the output transistor 720 into N separate transistors, the present invention is advantageously effective in scaling the size of the output stage of buffer 726 in response to a varying capacitive load, such as load capacitor 722. This provides stability and short settling time for buffer 726. The relationship between the number of output transistors connected in the output stage of buffer 726 and the size of the capacitive load is shown in
Returning now to
In order to compensate for a varying capacitive load, the present invention first determines the number of capacitors connected to output node 110 of buffer 106. Once the number of capacitors in output load 120 is determined, the size of the buffer output stage may be fixed by connecting a predetermined number of output transistors to output node 110. The manner in which this operation may be performed is described below.
In a first embodiment, shown in
In this first embodiment, the capacitive load of system 850 is independent of the signals at input terminal 100 and output terminal 102. Thus, the switches controlling the size of the capacitive load are controlled, in turn, by sensor control logic 800 via path 804. When sensor control logic 800 sets a desired value for capacitive load 120, a number of switches in the bank of switches 114(1)-114(N) are closed to provide the desired value.
In order for buffer 810 to compensate for the varying capacitive load, amplifier output stage controller 802 requires knowledge of the value of the load.
Therefore, as sensor control logic 800 controls load 120, via path 804, it also informs amplifier output stage controller 802 of the same. In turn, amplifier output stage controller 802 controls the N switches of output stage amplifier 728 or 730 (
In a second embodiment, shown in
A load sensor is thus used by the present invention to sense the size of the varying capacitive load. This information is relayed to amplifier output stage controller 802, which, in turn, relays the same information to buffer 810. One embodiment of the load sensor is shown in
The count circuit 1200 may be implemented in the digital domain or analog domain. For example,
Implementation B shows a faster alternative which utilizes multiple shift registers operating in parallel to reduce the time required to shift out all the data. Specifically, shift registers 1306 and 1316 operate in parallel with respective counters 1302 and 1308. Their count outputs are then added together by adder 1312. The more shift registers operating in parallel, the faster the count output is computed. It should be noted however, that more shift registers requires more hardware.
Implementation C is an example of a counter that does not require shift registers. In addition, implementation C provides a faster computation speed than implementation A or B. In operation, the switch state values of Sn-1 to S0 are directly inputted to a tree of adders 1314(1)-1314(N). This allows the counter to immediately begin summation in a parallel manner, without the need to wait for shift registers to shift out a serial output count.
One drawback to the digital implementation of count circuit 1200 is that it uses many hardware gates. If a crude estimate of the capacitive load is sufficient, an analog implementation provides a more efficient approach. This approach, shown in
Specifically, transistor array 1400 acts as a digital to analog converter (DAC) which converts the states of the digital switches into an equivalent analog signal. For example, the digital on/off states of the transistors in array 1400 translate into an equivalent analog signal. A reference analog signal is also produced by resistor ladder 1406 and transistor array 1404. Both the converted analog signal and reference analog signal are then compared with one another to determine the output state of latch 1402. Depending on this comparison, output b3 of latch 1402 is set low or high. In this example, the analog signal representation of the states of the digital switches is compared to three reference levels which are generated by the resistor ladder producing a quantized 2-bit digital signal. In this 2-bit implementation, four possible latch outputs are (b1=0 b2=0 b3=0), (b1=1 b2=0 b3=0), (b1=1 b2=1 b3=0) and (b1=1 b2=1 b3=1). The large number of bits that represented the digital switch states of the capacitive load have thus been reduced to a representation of only 2-bits of resolution. This implementation requires less hardware and may be sufficient depending on the needs of the system.
Although the invention is illustrated and described herein with reference to specific embodiments, the invention is not intended to be limited to the details shown. Rather, various modifications may be made in the details within the scope and range of equivalents of the claims and without departing from the invention.
This application is a Divisional of U.S. Application Ser. No. 12/041,766, filed Mar. 4, 2008, which is expressly incorporated by reference herein.
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Number | Date | Country | |
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Parent | 12041766 | Mar 2008 | US |
Child | 12791235 | US |