Field
The present disclosure relates to feedback compensation for multistage amplifiers.
Description of the Related Art
In many electronic applications, processing of signals can include use of an amplifier. Such an amplifier can include, for example, an operational-amplifier.
In accordance with some implementations, the present disclosure relates to an amplifier that includes a first stage, a second stage, and a third stage implemented in series between an input node and an output node. The amplifier further includes a first feedback path implemented between an output of the third stage and a node between the first and second stages, with the first feedback including a first capacitance. The amplifier further includes a second feedback path implemented between the output of the third stage and an output of the second stage. The second feedback path includes a transconductance element and a second capacitance arranged in series.
In some embodiments, the amplifier can further include a cascode transistor implemented between an output of the first stage and an input of the second stage. The first feedback path can include the cascode transistor such that the first feedback path couples the output of the third stage with the input of the second stage. The cascode transistor can include a source connected to the output of the first stage, and a drain connected to the input of the second stage.
In some embodiments, the amplifier can further include a feed-forward element implemented between the input of the second stage and the output of the third stage. The feed-forward element can include a field-effect transistor having a gate connected to the input of the second stage and a drain connected to the output of the third stage.
In some embodiments, the third stage can include a field-effect transistor having a drain connected to the output of the third stage and a gage connected to an input of the third stage. In some embodiments, the input of the third stage can be directly connected to the output of the second stage. In some embodiments, the second feedback path can be configured such that a first terminal of the second capacitance is connected to the drain of the field-effect transistor of the third stage, and a second terminal of the second capacitance is connected to the transconductance element of the second feedback path. In some embodiments, the transconductance element of the second feedback path can include a field-effect transistor having a source connected to the second terminal of the second capacitance, and a drain connected to the output of the second stage.
In some embodiments, each of the first stage, the second stage, and the third stage can include one or more field-effect transistors. In some embodiments, substantially all of the field-effect transistors can be implemented as CMOS devices.
In some embodiments, the amplifier can be configured as an operational-amplifier. The operational-amplifier can be configured to process a signal having a frequency within a radio-frequency (RF) range.
In a number of implementations, the present disclosure relates to a semiconductor die having a semiconductor substrate and an amplifier circuit implemented on the semiconductor substrate. The amplifier circuit includes a first stage, a second stage, and a third stage implemented in series between an input node and an output node. The amplifier circuit further includes a first feedback path implemented between an output of the third stage and a node between the first and second stages, with the first feedback including a first capacitance. The amplifier circuit further includes a second feedback path implemented between the output of the third stage and an output of the second stage. The second feedback path includes a transconductance element and a second capacitance arranged in series.
In some embodiments, each of the first stage, the second stage, and the third stage can include one or more field-effect transistors. The semiconductor substrate can be configured to allow formation of the field-effect transistors as CMOS devices.
In some embodiments, the amplifier circuit can be configured as an operational-amplifier. In some embodiments, the semiconductor die can further include an integrated circuit configured to process one or more signals, and the integrated circuit can be coupled to and configured to utilize the operational-amplifier.
In some teachings, the present disclosure relates to a packaged electronic module having a packaging substrate configured to receive a plurality of components, and a semiconductor die mounted on the packaging substrate. The semiconductor die includes an amplifier circuit having a first stage, a second stage, and a third stage implemented in series between an input node and an output node. The amplifier circuit further includes a first feedback path implemented between an output of the third stage and a node between the first and second stages, with the first feedback including a first capacitance. The amplifier circuit further includes a second feedback path implemented between the output of the third stage and an output of the second stage. The second feedback path includes a transconductance element and a second capacitance arranged in series.
In some implementations, the present disclosure relates to a packaged electronic module having a packaging substrate configured to receive a plurality of components, and an amplifier circuit implemented on the packaging substrate. The amplifier circuit includes a first stage, a second stage, and a third stage implemented in series between an input node and an output node. The amplifier circuit further includes a first feedback path implemented between an output of the third stage and a node between the first and second stages, with the first feedback including a first capacitance. The amplifier circuit further includes a second feedback path implemented between the output of the third stage and an output of the second stage. The second feedback path includes a transconductance element and a second capacitance arranged in series.
In some embodiments, some or all of the amplifier circuit can be implemented on a semiconductor die, and such a die can be mounted on the packaging substrate.
In some implementations, the present disclosure relates to an electronic device having one or more amplifier circuits. Each of the one or more amplifier circuits includes a first stage, a second stage, and a third stage implemented in series between an input node and an output node. The amplifier circuit further includes a first feedback path implemented between an output of the third stage and a node between the first and second stages, with the first feedback including a first capacitance. The amplifier circuit further includes a second feedback path implemented between the output of the third stage and an output of the second stage. The second feedback path includes a transconductance element and a second capacitance arranged in series.
In some embodiments, the electronic device can be, for example, a wireless device.
For purposes of summarizing the disclosure, certain aspects, advantages and novel features of the inventions have been described herein. It is to be understood that not necessarily all such advantages may be achieved in accordance with any particular embodiment of the invention. Thus, the invention may be embodied or carried out in a manner that achieves or optimizes one advantage or group of advantages as taught herein without necessarily achieving other advantages as may be taught or suggested herein.
The headings provided herein, if any, are for convenience only and do not necessarily affect the scope or meaning of the claimed invention.
Disclosed herein are various examples related to circuits, devices and methods involving feedback compensation for multistage amplifiers. For the purpose of description, it will be understood that a multistage amplifier can include two or more amplification stages.
In some embodiments, a feedback compensation circuit can be configured as cascode and transconductance with capacitances feedback compensation (also referred to herein as CTCFC) for multistage amplifiers. By adding a transconductance with capacitor feedback across, for example, an output stage of an amplifier, a shorting effect of the capacitor can be eliminated or reduced, which can enlarge the gain at a higher frequency region. Such a capacitor can also help stabilize a no load configuration. Another compensation capacitor implemented through cascode from an output to a first stage of the amplifier can simplify the compensation circuit and provide one or more zeros to further increase the bandwidth. Various examples related to the foregoing are described herein.
When configured as described herein, an example amplifier implemented in a 0.6 μm CMOS process has demonstrated a number of performance features. For example, a gain-bandwidth product (GBW) has been shown to be approximately 3.6 MHz under a capacitive load of 1 nF. A slew rate of approximately 2.6V/μs and a current consumption of approximately 88 μA have also been demonstrated as yielding an improvement in, for example, a figure of merit performance parameter IFOML.
Operational amplifiers are important building blocks in modern integrated systems. With high-gain and high-bandwidth characteristics, they are widely used in various circuits such as buffers, filters and data converters. Due the shrinking voltage headroom, conventional methods of cascoding transistors to increase the gain are generally not practical. Instead, cascading stages horizontally is a popular method of gain boosting. However, an increase of pole number due to multiple stages typically generates closed-loop stability problems for the amplifiers.
In some applications, frequency-compensation methods can be utilized to address some or all of the foregoing challenges. For example, nested-Miller compensation (NMC) is a known technique that can be utilized. However, a disadvantage of large compensation capacitors and low gain-bandwidth product typically limits the applicability of such a technique.
In some applications, transconductance with capacitances feedback compensation (TCFC) uses a transconductance stage between a compensation capacitor and the feedback node to avoid self-biasing of an output stage in order to improve the frequency response. However, such a configuration can be affected by another compensation capacitor, similar to foregoing NMC example.
In some applications, active-feedback frequency-compensation (AFFC) technique utilizes a similar method to deal with another compensation capacitance by an extra circuit. However, if implemented without a transconductance with capacitance feedback, such a configuration can suffer from a stability problem for small load conditions.
Described herein are examples related to a cascode and transconductance with capacitances feedback compensation (also referred to herein as CTCFC) technique for an example three-stage amplifier. It will be understood that such an amplifier can be an operational amplifier, an amplifier configured to amplify a radio-frequency (RF) signal, and the like.
With such a CTCFC topology, small compensation capacitors can be implemented to thereby help stabilize the multi-pole system which gives rise to a higher gain-bandwidth product, as well as an ability of driving a no load or large capacitive load with a reasonable slew rate. Various examples of an analysis of the foregoing CTCFC technique are described herein in greater detail. Although the example CTCFC configuration is described in the context of a three-stage amplifier, it will be understood that one or more features of the present disclosure can also be implemented in amplifiers having other numbers of stages.
It is noted that in some implementations, nested Miller compensation (NMC) can include an extension of two-stage Miller compensation. By assuming that gain of each stage is much larger than 1 and CL, Cm1,2>>Ci, where Ci is the parasitic capacitance at the output of the i-th stage, CL is the load capacitance and Cm1,2 are compensation capacitors, a condition yielding stability can be expressed as gm3/(4CL)>2πGBW, where gm3 is the transconductance of the last stage, and GBW is the gain bandwidth.
Then, a large transconductance for the last stage is typically required, which is typically not suited for low-power applications. Accordingly, the foregoing stability condition limits the maximum achievable GBW. With gm1,2 being transconductances for the first and second stages, design constraints can be expressed as Cm1=4gm1/(gm3CL) and Cm2=2gm2/(gm3CL). With such design constraints, an example phase margin of 60° can be realized. However, the compensation capacitors are typically large and proportional to the load capacitor. Accordingly, use of such compensation capacitors will typically need an increased area, and degradation of slew rate can occur.
It can be seen that the first to output stage compensation capacitor Cm1 generates one right hand plan (RHP) zero which is typically harmful to phase margin. The second to output compensation Cm2 typically shorts the connection at high frequency and typically causes an unnecessary gain reduction. If Cm2 is removed, such limitation can be eliminated or reduced; however, the first non-dominant pole would typically be determined by the parasitic capacitance at the output node of the second stage which is typically very process-sensitive. Accordingly, stability with small CL is also affected.
Disclosed herein are examples related to a cascode and transconductance with capacitances feedback compensation (CTCFC) circuit.
Referring to the example compensation configuration of
In some embodiments, a feed-forward stage gmf can be utilized to improve the slew-rate. In the compensation configuration of
Referring to the example compensation configuration of
gm1R1,gm2R2,gm3R3>>1, and (1a)
CL>>Cm1,Cm2; and Cm1,Cm2>C1,C2. (1b)
In addition, Cm1 can be set to be equal to Cm2 to simplify computations. One can also assume that Rt=1/gmt, and Rc=1/gmc. Then, the transfer function can be expressed as
In Equation 2, terms of the denominator can be defined as
ω0=gm1/Cm1,ω1=gmt/Cm1
ω2=Cm1R2gm2gm3/(C1CL)
ω3=gmc/Cm1,ω4=1/(R2C2)
and the term ADC represents the DC gain which can be defined as gm1gm2gm3R1R2R3. It should be noted that the foregoing can be an estimation to generate stability conditions. In some implementations, more terms can be taken into account in design considerations. Examples of analysis of zeros are describe herein in greater detail.
In some embodiments, stability with large load capacitance can be addressed based on a unity-gain closed-loop configuration. Since the denominator's order is higher than that of the numerator, the stability will typically depend on the denominator of the closed-loop transfer function. By neglecting the zeros, the closed-loop transfer function can be expressed as
With Routh-Hurwitz stability criterion, the stability conditions can be obtained as
In Equation 4, A2 is representative of the gain of the second stage. The first condition can be easy to meet since gmt and gmc are both under control. As for the second condition, the achievable GBW can be scaled by A2Cm1(gmc−gmt)/(C1gmc) which can increase the limitation to a large amount. However, because of process uncertainty in some implementations, a conservative value can be more preferable in some designs.
In some embodiments, no-load stability with and without gmt-Cm2 loop can be characterized as follows. For the no-load situation, assumptions similar to those described above can be made, except that CL, which mainly comes from the parasitic capacitance, is typically only several times larger than C2. Accordingly, stable conditions by Routh-Hurwitz stability criterion can be expressed as in Equations 5 and 6 for configurations with and without the gmt-Cm2 loop, respectively. In some situations, the condition associated with Equation 6 (without the gmt-Cm2 loop) can be more difficult to be met because of the relatively small C2 and gmc compared with CL and gm2. Further, the stability can depend highly on parasitic parameters, and designs depending on such stability are typically not robust designs. If the gmt-Cm2 loop is present, the stability can be improved by Cm2 which can be set to be the same as Cm1 for simple calculations.
It will be understood that the foregoing example analysis in reference to Equations 5 and 6 is applicable for smaller CL compared with Cm1. For a load capacitance in between (e.g., a medium load capacitance), appropriate transfer functions can be obtained.
It is noted that with the some or all of the foregoing conditions described herein, stability can be achieved. Additional information such as phase margin can be obtained by including more small terms in the open-loop transfer function. With a large load capacitance, such a transfer function can be re-written as
In Equation 7,
ωol1=gmt/Cm1
ωol2=Cm1R2gm2gm3/(C1CL)
ωol3=gmc/Cm1
ωol4=1/(R2C2)
p−3 dB=1/(Cm1R1R2R3gm2gm3)
It is noted that p−3 dB is a dominant pole. With a very conservative estimation, one can have
which can be set far away without affecting phase margin. In addition, as long as ωol1 and ωol4 are far from each other which is realizable, the two LHP zeros can cancel the real poles to thereby expand the GBW. Then the complex poles can eventually determine the phase margin. In such a situation, a design constraint can include
From the foregoing, one can obtain
To avoid gain peaking, damping factor can be set or estimated as
In some embodiments, the three stage amplifier of
In some embodiments, the first stage can be implemented with a differential input single-ended folded cascode. The second stage can include a common source with a current mirror. The third stage can be implemented as a class-AB stage to, for example, improve slew-rate performance.
Examples of DC gains and phase margins at different corners for the example configuration of
Referring to Table 1, it is noted that the phase margin (PM) can be kept above 50° at all of the corners.
Examples of parameters of the amplifier at the foregoing FF corner are shown in Table 2, and examples of specifications are shown in Table 3.
Referring to the examples of Table 3, it can be seen that the calculation and simulation results are close to each other.
An example configuration without an external load was also simulated, and the corresponding closed-loop pole locations are shown in Table 4.
In Table 4, the example pole locations are shows for configurations with and without the gmt-Cm2 loop as described herein. One can see that in the configuration without the gmt-Cm2 loop, the RHP poles degrade or destroy the stability performance.
As described herein, one or more features of a frequency compensation technique can provide effective compensation of amplification topology for both large capacitive load and no-load configurations. As also described herein, two example LHP zeros can help cancel or reduce the effect of two real poles, and with such complex poles' expression, designs for multistage amplifiers can be improved. Further, and as described herein, such a technique can stabilize and enlarge bandwidth associated with a multistage amplifier. In the example where the output stage is a class-AB amplification stage, one or more features of the present disclosure can allow driving of the output with relatively large slew rate in a multistage amplifier implemented in, for example, 0.6 μm CMOS technology.
In the example of
In some implementations, one or more features described herein can be included in a module.
In some embodiments, other components can be mounted on or formed on the packaging substrate 302. For example, one or more surface mount devices (SMDs) (314) can be implemented. In some embodiments, the packaging substrate 302 can include a laminate substrate.
In some embodiments, the module 300 can also include one or more packaging structures to, for example, provide protection and facilitate easier handling of the module 300. Such a packaging structure can include an overmold formed over the packaging substrate 302 and dimensioned to substantially encapsulate the various circuits and components thereon.
It will be understood that although the module 300 is described in the context of wirebond-based electrical connections, one or more features of the present disclosure can also be implemented in other packaging configurations, including flip-chip configurations.
In some embodiments, the RF module 300 of
In some implementations, a device and/or a circuit having one or more features described herein can be included in an RF device such as a wireless device. Such a device and/or a circuit can be implemented directly in the wireless device, in a modular form as described herein, or in some combination thereof. In some embodiments, such a wireless device can include, for example, a cellular phone, a smart-phone, a hand-held wireless device with or without phone functionality, a wireless tablet, a wireless router, a wireless access point, a wireless base station, etc.
In the example of
In the example of
The baseband sub-system 408 is shown to be connected to a user interface 402 to facilitate various input and output of voice and/or data provided to and received from the user. The baseband sub-system 408 can also be connected to a memory 404 that is configured to store data and/or instructions to facilitate the operation of the wireless device, and/or to provide storage of information for the user.
In the example wireless device 400, outputs of the amplifiers 430 are shown to be matched and routed to an antenna 416 via their respective duplexers 412a-412d and a band-selection switch 414. The band-selection switch 414 can be configured to allow selection of, for example, an operating band or an operating mode. In some embodiments, each duplexer 412 can allow transmit and receive operations to be performed simultaneously using a common antenna (e.g., 416). In
Unless the context clearly requires otherwise, throughout the description and the claims, the words “comprise,” “comprising,” and the like are to be construed in an inclusive sense, as opposed to an exclusive or exhaustive sense; that is to say, in the sense of “including, but not limited to.” The word “coupled”, as generally used herein, refers to two or more elements that may be either directly connected, or connected by way of one or more intermediate elements. Additionally, the words “herein,” “above,” “below,” and words of similar import, when used in this application, shall refer to this application as a whole and not to any particular portions of this application. Where the context permits, words in the above Detailed Description using the singular or plural number may also include the plural or singular number respectively. The word “or” in reference to a list of two or more items, that word covers all of the following interpretations of the word: any of the items in the list, all of the items in the list, and any combination of the items in the list.
The above detailed description of embodiments of the invention is not intended to be exhaustive or to limit the invention to the precise form disclosed above. While specific embodiments of, and examples for, the invention are described above for illustrative purposes, various equivalent modifications are possible within the scope of the invention, as those skilled in the relevant art will recognize. For example, while processes or blocks are presented in a given order, alternative embodiments may perform routines having steps, or employ systems having blocks, in a different order, and some processes or blocks may be deleted, moved, added, subdivided, combined, and/or modified. Each of these processes or blocks may be implemented in a variety of different ways. Also, while processes or blocks are at times shown as being performed in series, these processes or blocks may instead be performed in parallel, or may be performed at different times.
The teachings of the invention provided herein can be applied to other systems, not necessarily the system described above. The elements and acts of the various embodiments described above can be combined to provide further embodiments.
While some embodiments of the inventions have been described, these embodiments have been presented by way of example only, and are not intended to limit the scope of the disclosure. Indeed, the novel methods and systems described herein may be embodied in a variety of other forms; furthermore, various omissions, substitutions and changes in the form of the methods and systems described herein may be made without departing from the spirit of the disclosure. The accompanying claims and their equivalents are intended to cover such forms or modifications as would fall within the scope and spirit of the disclosure.
This application claims priority to U.S. Provisional Application No. 62/110,881 filed Feb. 2, 2015, entitled CASCODE AND TRANSCONDUCTANCE WITH CAPACITANCES FEEDBACK COMPENSATION FOR MULTISTAGE AMPLIFIERS, the disclosure of which is hereby expressly incorporated by reference herein in its entirety.
Number | Name | Date | Kind |
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6825725 | Doherty | Nov 2004 | B1 |
8847678 | Chen | Sep 2014 | B2 |
Number | Date | Country | |
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20170026007 A1 | Jan 2017 | US |
Number | Date | Country | |
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62110881 | Feb 2015 | US |