1. Field of the Invention
The present invention relates to a scheme for enhancement of power supply ripple rejection, and in particular, to a circuit for enhancing the power supply ripple rejection for operational amplifiers (op-amps) and low-dropout (LDO) voltage regulators.
2. Description of the Prior Art
Power Supply Rejection Ratio (PSRR), a measure of power-supply ripple rejection, is an important parameter for op-amps and op-amp based LDOs. With many types of circuits running off the same power supply line VDD, the DC voltage at VDD becomes corrupted with ripple voltage. The ripple voltage usually has a complex waveform having a frequency content from DC to several hundred kilohertz. For op-amp circuits to function properly, the op-amps concerned must be able to reject this unwanted ripple at the outputs up to as high frequency as possible. Alternatively, if an LDO regulator is used to clean-up this ripple, it must also be able to provide the same type of rejection. Ability to provide good rejection to power-supply ripple is indicated by a high PSRR figure (80 dB to 100 dB) for the circuit.
As it turns out, it is more convenient to work with the inverse of PSRR instead and this inverse will be referred to as the Power Supply Gain Ratio (PSGR). Thus, PSGR in dB=negative of PSRR in dB. Usually, the PSGR for an op-amp or LDO is good (typically −80 dB) at low frequencies: from DC to a few kilohertz. After that, the PSGR degrades with frequency at a rate of 20 dB/decade. Thus, the high frequency PSGR figures are poor. Please refer to
The most appropriate related art is authored by Mohamed El-Nozahi, Ahmed Amer, Joselyn Torres, Kamran Entesari and Edgar Sanchez-Sinencio, entitled “A 25 mA 0.13 μm CMOS LDO Regulator with Power-Supply Rejection Better Than −56 dB up to 10 MHz Using a Feedforward Ripple-Cancellation Technique,” and published in the ISSCC Digest of Technical Papers, pp. 330-331, on February 2009.
Please refer to
According to one embodiment, an electronic circuit with enhanced power supply rejection includes a cancellation circuit having an input terminal receiving a reference signal and an output terminal generating a cancellation current. The electronic circuit also includes a regulator circuit having a differential pair of transistors outputting a differential current and a load coupled to the differential pair of transistors. The load has an input for receiving both the cancellation current and the differential current and an output outputting the sum of the cancellation current and the differential current. A pass transistor has an input terminal coupled to the output of the load and also includes an output terminal for generating an output current based on the sum of the cancellation current and the differential current.
According to another embodiment, an electronic circuit with enhanced power supply rejection includes a cancellation circuit having an input terminal receiving a reference signal and an output terminal generating a cancellation current comprising a first cancellation current and a second cancellation current. The electronic circuit also includes a regulator circuit having a load and a differential pair of transistors outputting a differential current comprising a first differential current and a second differential current. The load is coupled to the differential pair of transistors and has a first input for receiving the sum of the first cancellation current and the first differential current, a second input for receiving the sum of the second cancellation current and the second differential current, and a single output outputting the sum of currents received through the first and second inputs of the load, and the load adds the currents received through the first and second inputs of the load before outputting the sum of currents as a load output current. A pass transistor has an input terminal coupled to the output of the load and an output terminal for generating an output current based on the load output current.
These and other objectives of the present invention will no doubt become obvious to those of ordinary skill in the art after reading the following detailed description of the preferred embodiment that is illustrated in the various figures and drawings.
The circuitry described below achieves the same results of the related art disclosed in
The principle underlying the proposed technique begins with a definition of the terms involved.
The PSGR of an op-amp or LDO is defined as:
Where, P(s) is the power supply gain which again defined as:
Where, VO(s) is the ripple voltage appearing at the output of the circuit when ripple voltage VP(s) is fed to the power supply terminal VDD. The circuit is kept under open-loop condition without input signal.
Again, A(s) in (1) is the signal gain which defined as usual as:
Where, VO(s) is the signal voltage appearing at the output of the circuit when signal voltage VI(s) is applied at the inputs. The circuit again is kept under open-loop condition without ripple at VDD.
In (1) to (3) above, ‘s’ is the Laplace Transform frequency variable indicating that all the quantities are functions of frequency.
We will now take help of small signal analysis assuming the op-amp or LDO is a two-stage design. The small signal parameters are: gm1=first-stage transconductance, gm2=second-stage transconductance, gm3=transconductance of compensating transistor in Ahuja compensation, C1=parasitic capacitance loading first stage, C2=total capacitance loading second stage, r1=output resistance of first stage, r2=output resistance of second stage or the net load resistance, CC=compensation capacitance, RC=compensation resistance in Miller compensation.
Case 1: Miller Compensation:
We can find by small-signal analysis and setting RC=1/gm2:
where D(s) is a degree 3 polynomial in ‘s’ with the coefficients determined by C1, C2, CC, R1, R2, RC and gm2 but not gm1.
The PSGR is now given according to (1) (4) and (5) by:
It can be seen from (6), neglecting the degree 2 term in ‘s’, that the PSGR has a zero at fa=1/2πCCgm2r1r2 which happens to be the same as the dominant pole for the compensated frequency response and, therefore, is at a very low frequency. To improve the PRGR response, this zero needs to be shifted to a frequency as high as possible.
Now if a ripple cancellation current is obtained by dropping the ripple voltage VP(s) across a capacitor CX and is added with the input differential pair (transconductance gm1) current, then (5) can be used to find the contribution of this cancellation current at the output of the circuit by replacing gm1 by sCX, the transconductance of CX. The cancellation current is added in such a manner that it opposes the power-supply ripple normally appearing at the output and thus (4) modifies to:
Using (4a), (5) and (1), and choosing CX=CC, the PSGR now is given by:
Comparing (7) with (6), it is seen that we have been able to totally eliminate that low-frequency zero fa by shifting it to infinity. This improves the high-frequency PSGR. However the degree 2 term in ‘s’ remains, forming transmission zero, and this will result in the PSGR dipping before rising at a frequency fb=1/2π√{square root over (C1C2r1r2)} as shown by the dashed curve in
Case 2: Ahuja Compensation:
As before, it can be found through small-signal analysis:
In this case the zero of PSGR at fa=1/2πC1r1 is higher than the dominant pole frequency but is not sufficiently high. Here too, D(s) is independent of gm1. Therefore (8) can be modified as before by using a cancellation current generated by dropping the ripple voltage across a capacitor CX to:
Choosing C1=gm2r2CX, we can arrive at the new PSGR expression using (8a), (9) and (1):
As can be seen in (11) the zero fa for the PSGR has been totally eliminated. However, fb as in
It can be noted that gm2r2 is the DC gain of the second stage. We need to have CX=C1/gm2r2 for ripple cancellation. Thus, it will be more convenient to use Ahuja compensation where the DC gain of the second stage is fixed. However, Miller compensation needs CX=CC and there is no such restriction. However, fb most likely will be higher for Ahuja compensation compared to Miller.
Please refer to
Regulated cascode stages MN5, MN7, MN9, MP8 and MN6, MN8, MN10, MP9 form the input circuitry for the differential current amplifier 54, as shown in
k(CA−CB)=CX, (12)
The scaling k provides means for accurate adjustment of (CA−-CB) to obtain maximum ripple rejection in practice. It is to be noted that it is also possible to have CB=0 with CA=CX. When using Ahuja compensation, an additional capacitance CD may be used between gate and source of MPD to obtain a realizable value of CX if the second stage gain gm2r2 is large. This can be understood from (14) as C1, essentially the gate-source capacitance of MPD, is now added to CD.
Please refer to
The outputs from the current amplifier 84 −ic1 and −ic2 are now added directly with the output current +/−is of a differential pair 102 of op-amp 80, where op-amp 80 operates in buffer mode. The sum of the currents −ic1 and −ic2 and +/−is is received by load 104, and the sum of the resulting differential signal is converted to a single-ended one by the load 104 to drive the gate of the output pass transistor MPD. Requirements for applying −ic1, −ic2 to the load 104 with the correct polarity remain the same as before. The compensation shown in
Several other embodiments may be possible by combining the features of the first embodiment illustrated in
Please refer to
Please refer to
The schemes for power-supply ripple cancellation described above in
For Miller compensation, a more accurate expression for CX is:
For an op-amp driving capacitive load, gm2r2 and gm2r1 are very large, so (13) is valid. But for an LDO, the second stage gain gm2r2 may be quite small, while gm2r1 very large, therefore (15) can be written as:
Whereas, for Ahuja compensation, (14) is already a reasonably accurate expression for an LDO.
Now, the second stage gain gm2r2 is process, temperature and load current dependent. Therefore, according to (14) and (16), we need to track changes in gm2r2 and adjust CX accordingly.
Miller Compensation:
Firstly, we'll modify (16) for the purpose of easier tracking of the second-stage gain changes. We know that for any transistor including the pass transistor MPD (with transconductance gm2) for an LDO with load resistance r2, load current IL and output voltage VO:
gm2CDsat=2IL (17)
and VO=ILr2 (18)
Where, VDsat is the overdrive voltage for the pass-transistor. Using (17) and (18) we can modify (16) to:
If VGS is the magnitude of gate-source voltage and VTH the threshold voltage of MPD, then:
V
Dsat
=V
GS
−V
TH (20)
Using (20) in (19) we have the final expression as:
Now, (21) is the version of (16) with easily measurable quantities.
Ahuja Compensation:
In a similar way, (14) can be re-written as:
Thus (22) is the equivalent of (21) for Ahuja compensation.
Please refer to
in block 146, and this quantity is used in block 148 for determining the value of CX according to the appropriate formula (A).
Please refer to
An A/D converter 160 is used to convert VG2−VG1=VGS−VTH with a voltage reference 2pVO. The scale factor ‘p’ is chosen such that 2pVO=max. value of VGS−VTH. Then we can say an A/D output of the A/D converter 160 is a number proportional to (VGS−VTH)/2VO. The A/D converter 160 can be any Nyquist type converter accepting differential inputs. The output bus of the A/D converter 160 is used to connect/disconnect capacitors in a capacitor bank 156 with the help of switches SW0 to SWn−1.
Equation (23) below is derived from (21) and shows how CX is expressed after n-bit A/D conversion
The capacitor bank 156 is designed to implement CX as in (23). There is one fixed capacitor equal to the compensation capacitor CC and the rest, implementing the variable part of CX, are switched in and out with SW0 to SWn−1. If bi=1, SWi is closed otherwise open. We know that CC is a MOM/PIP capacitor whereas C1 is essentially the gate-source capacitor of MPD. Thus the switched capacitor Cvi, i=0, 1, 2, . . . , n−1 is implemented with a parallel combination of a MOM/PIP capacitor aiCC matching CC and a PMOS capacitor aiC1 matching MPD.
A current amplifier 158 feeding the load of EA with ripple cancellation current is a unity gain current amplifier and the capacitor bank is connected to only one of its input terminals. The other input terminal is not used.
When Ahuja compensation is used, node X is connected to node Y and RC=0 in the main LDO 152. Using the implementation in
CX≅(bn−1an−1+bn−2an−2+bn−3an−3+ . . . +b0a0)C1 (24)
Therefore, according to (24), we just need to set CC=0 in the capacitor bank 156 of
In summary, the embodiments above all sum differential current output from a differential pair of transistors with cancellation current and output this summed current from the load. The summed current from the load is fed into a pass transistor for generating an output current. A substantial advantage is realized in no significant circuit redesign is required for implementing this change. No modification of the LDO or the op-amp is required, and no extra summing amplifier is needed either. Thus, the benefits of ripple cancellation can be realized with minimal cost and time needed.
Those skilled in the art will readily observe that numerous modifications and alterations of the device and method may be made while retaining the teachings of the invention.