A Novel Technique for Driving Capability Improvement of a Class

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A Novel Technique for Driving Capability
Improvement of a Class-AB CMOS Voltage Buffer
C. Sawigun*, N. Kiatwarin* and W. Ngamkham**
*Department of Electronic Engineering
**Department of Control System Engineering
Mahanakorn University of Technology
51 Chuem Samphan Rd. Nong-Chok Bangkok 10530 Thailand
Tel: (662) 9883655 Ext. 211 Email: chotharn@mut.ac.th, narumol@mut.ac.th, wanaya@mut.ac.th
ABSTRACT
This paper presents a new circuit design technique to
improve a driving capability of a simple push-pull CMOS
buffer. This technique emphasizes on gaining a steepness of
a voltage to current transfer characteristic, which is implied
as the driving performance of the buffer, by using the simple
buffer as a basic cell and applying an output current of the
cell to be a biasing current of the next cell. By doing so, at
the same power consumption, the driving capability of the
buffer, which is developed by this technique, is higher than
that of the simple push-pull buffer. To validate the
aforementioned concepts, mathematical analysis and
PSPICE simulated results of the developed buffer are also
presented in the absence of objection.
for improving high frequency behaviors which is caused by
the driving capability of the buffer, such as full power band
width and high frequency distortion [13]. The basic idea of
this technique begins from investigating the large signal
characteristic of the simple push-pull common drain
amplifier which is shown in section 2. Then it shows that we
can boost the driving capability of the buffer by using the
simple buffer for two functions, current boosting and main
buffering, with a little modification of circuit arrangement,
we obtain the valuable driving performance, illustrating on
section 3. In section 4, simulation results are demonstrated
for verification. Finally all of our works are concluded again
in section 5.
Keyword: CMOS circuit, Buffer, voltage follower, High
speed amplifier
2. REVIEW OF LARGE SIGNAL OPERATION OF
THE SIMPLE PUSH-PULL CMOS BUFFER
The simple class-AB push-pull common drain CMOS
buffer circuit configuration is shown in Fig.1 It comprises
NMOS transistors M1, M2 and PMOS transistors M3, M4.
All MOSFETs are biased by constant current source Io1
which is copied by current mirror circuits Mb1, Mb2 and
Mb3, Mb4. From the gate-source terminals arrangement of
the buffer and using the square law relation of MOSFETs,
we can find the relationship between drain current of the
MOSFETs in output branches and voltage difference of input
and output ports as
1. INTRODUCTION
Voltage buffer is an important circuit element which is
used in many analog applications such as current conveyor
[1], current feedback amplifier [2], output stage of power
amplifier and line driver [3] and it is also used in modern
technique for analog filter realization [4], etc.
Since a main drawback of MOSFET devices is low
transconductance which leads to a difficulty of CMOS
voltage buffer design [5], to meet the main requirements of
the voltage buffer including, power efficient, high driving
capability, low output resistance and low distortion, various
configurations of CMOS buffer had been developed. It is
regularly found that almost the developed architecture rely
on a class-AB operation as it can be seen from [6] - [11].
That is because the class-AB operation provides a satisfied
compromising between power efficiency and cross over
distortion.
Concentrating on the class-AB operation of CMOS
buffer we can see that the driving capability can be found
from a DC transfer characteristic between a short circuit
output current and an input voltage of the buffer. It is
appeared in [12] that a steepness of the transfer curve is
based on the square law function which is an approximated
physical property of the MOSFETs and it is seemed to be a
limitation of the CMOS buffer’s driving performance.
In this paper, we have attempted to eliminate the
limitation of the driving performance of the CMOS buffer.
So, a novel circuit design technique is proposed expecting
Fig.1 The simple class-AB push-pull common drain CMOS
amplifier
2
⎛
= β 2 ⎜ (Vin − Vout ) +
⎜
⎝
I o1 ⎞
⎟
β1 ⎟⎠
⎛
= β 4 ⎜ − (Vin − Vout ) +
⎜
⎝
I o1 ⎞
⎟
β 3 ⎟⎠
ID2
(1)
and
ID4
2
(2)
W
is a process transconductance
L
parameter of each MOSFET.
After setting the process transconductance parameter
β A = β1 = β 2 = β 3 = β 4 as a general symmetrical constraint,
and considering a practical operation of MOSFETs, an
output current of the buffer can be found to be
Where β = 0.5k ' µ Cox
⎧
⎪ ID2
⎪
⎪
⎪
I out1 = ⎨ I D 4
⎪
⎪
⎪ 4 (V − V ) β I
in
out
A o1
⎪⎩
if (Vin − Vout ) ≥
if (Vin − Vout ) ≤ −
if −
I o1
βA
≤ (Vin − Vout ) ≤
I o1
βA
I o1
I o1
βA
(3)
From (3), it is clearly seen that the buffer is operated on
class-A and B, depending on a voltage difference between
input and output terminals (Vin-Vout = Vio). For small voltage
difference signal − β A −1I o1 ≤ Vio ≤ β A −1I o1 the buffer is
operated on class-A which is resulted from biasing in active
mode for all MOSFETs. The voltage to current
characteristics of the buffer in this range is a linear
relationship. Therefore small signal output resistance of the
buffer can be simply found to be
rout1 =
1
4 β A I o1
Fig.2 The proposed buffer
βA
It can be observed that the current booster is biased by
constant current source Io2 but the main buffer is biased by
the output current of the first one. Drain currents of M2 and
M4 are copied, by the current mirrors and supply to drain
terminals of M5 and M7 as the biasing currents. From the
last section, we have known that ID2 and ID4 are functions of
Vio so a magnitude of an output current of this circuit which
is increased by Vio at a higher rate will be achieved,
illustrating in mathematical analysis below.
Setting current transfer ratio of each current mirror to
be unity, then we have
I D6
(4)
And if Vio is higher than this range, the output current of the
buffer will be squarely increased as (1) until it is saturated.
For the opposite direction, the buffer is vice versa operated,
if Vio is less than that range the output current will be (2)
until it is saturated, too. The driving performance of this
circuit is identified by the square law function in (1) and (2)
for positive and negative side of Vin, respectively. By means
of improving the driving ability, the square law relations will
be forced to be higher degree of increasing functions.
In the next section, an improving method, based on the
same basic operation of the simple buffer, to gain the driving
performance will be presented.
3. THE PROPOSED TECHNIQUE
In order to gain driving capability of the buffer, we
have attempted to increase the steepness of the voltage to
current transfer characteristic, especially in class-B region.
To do so, the buffer in Fig.1 is used in the proposed buffer in
Fig. 2, for two functions, the first one is used as the current
boosting circuit M1-M4 and the other one M5-M8 is the
main buffer, which are connected together by two current
mirrors M9-M10 and M11-M12.
⎛
⎛
⎜
β 2 ⎜⎜ (Vin − Vout ) +
⎜
⎝
= β 6 ⎜ (Vin − Vout ) +
β5
⎜
⎜
⎜
⎝
2 ⎞
I o1 ⎞ ⎟
⎟
β1 ⎠⎟ ⎟
⎟
⎟
⎟
⎟
⎠
2
(5)
and
I D8
⎛
⎛
⎜
β 4 ⎜⎜ − (Vin − Vout ) +
⎜
⎝
= β8 ⎜ − (Vin − Vout ) +
β7
⎜
⎜
⎜
⎝
2
2 ⎞
I o1 ⎞ ⎟
⎟
β 3 ⎟⎠ ⎟
⎟ (6)
⎟
⎟
⎟
⎠
For the sake of convenient and simplification, the buffers are
supposed to be identical, resulting in β1 - β8 are equal
with β B . For this reason, it can be approximated that
⎛
I
I D 6 = β B ⎜ 2 (Vin − Vout ) + o1
⎜
βB
⎝
⎞
⎟⎟
⎠
2
(7)
and
I D8
⎛
I ⎞
= β B ⎜ −2 (Vin − Vout ) + o1 ⎟
⎜
⎟
β
B ⎠
⎝
2
(8)
Comparing the (7) and (8) with (1) and (2), we can see that
the relationship between drain currents at output branches
and the input voltage of the proposed buffer are, in parabolic
form, similar to that of the simple one but the increasing rate
is higher. In the similar way with section 2, we can
summarize the output current of the proposed buffer as
I out 2
⎧
if (Vin − Vout ) ≥
⎪ I D2 + I D6
⎪
⎪
I
⎪I + I − I
if 0.5 o 2 ≤ (Vin − Vout ) <
D6
D4
⎪ D2
βB
⎪
⎪
I
= ⎨ I D 2 + I D 6 − ( I D 4 + I D 8 ) if − 0.5 o 2 < (Vin − Vout ) < 0.5
βB
⎪
⎪
I
⎪I − ( I + I )
if − o 2 < (Vin − Vout ) ≤ −0.5
D4
D8
⎪ D2
βB
⎪
⎪
if (Vin − Vout ) ≤ −
⎪ I D 4 + I D8
⎪⎩
Io2
βB
Io2
βB
Io2
βB
Io2
βB
Io2
βB
(9)
It is obvious that there are many regions occurred in circuit
operation causing by different bias points in different stages
of the buffer. Some regions are not significant for now, thus
we can skip to the relevant regions.
Consider operating point of the proposed buffer in the
range of −0.5 β B−1I o 2 ≤ (Vin − Vout ) ≤ 0.5 β B−1I o 2 , we can
show that
I out 2 = 8Vio β B I o 2 + 4Vio β B I o 2 = 12Vio β B I o 2
(10)
From (10), it is quite clear to see that voltage to current
transfer characteristic of this range is linear and the small
signal output resistance of the proposed buffer can be simply
found to be
1
rout 2 =
(11)
12 β B I o 2
In this range, all MOSFETs are biased in active region and
the buffer is operated on class-A. Comparing (11) and (4)
illustrates that the output resistance of the proposed buffer is
three times smaller than the buffer in Fig.1. In fact, it is not
fair to compare like this because power consumption and
chip area are not included, in spite of the proposed buffer
consumes more power and chip area which can be obviously
seen from its circuit configuration.
Trying to create a reasonable comparison we have
neglected the biasing and current mirror circuits for
simplification and we have set β A = 2 β B = 2 mA / V 2 and
I o1 = 2 I o 2 = 2 µ A for equalizing transistor area and power
consumption of the simple buffers in Fig.1 and the proposed
buffer Fig.2. In the case of perfect matching CMOS devices,
the theoretical relationship between push current (ID2 and
ID6) and pull current (-ID4 and -ID8) of output branches of
each buffer is plotted in Fig.3, demonstrating that an
increasing rate of drain current in output branch of the
proposed buffer (ID6 and ID8) is higher than that of the simple
buffer in Fig.1. Thus, at this state, it can be claimed that the
proposed buffer provide more transconductance and driving
capability at the same power consumption.
Fig.3 The push and pull current at output branches of the
buffers in Figs.1 and 2 versus Vio at same power and die
area consumptions
4. SIMULATION RESULTS
To verify the theory in the last section the buffer in
Fig.1 and Fig.2 have been simulated, by using 0.5 micron
level 3 CMOS model parameter provided by [14] with
PSPICE A/D in Orcad simulator, for two situations, DC
sweep of short circuit current to demonstrate the maximum
output current and transient response of the buffer while it
was driving a paralleled 2 kΩ resistor and 50 pF capacitor
load. Design parameters of both circuits are summarized in
table 1 and the simulated results are shown in Fig.4 and
Fig.5, respectively.
Fig.4 illustrates a comparison between both buffer
which shows that the proposed buffer provides larger
maximum output current and small signal transconductance
than that of the simple buffer.
Fig.4 Comparative plotted of short circuit currents between
the proposed buffer and the simple buffer
out
Fig.5 Transient response of the proposed buffer versus
the simple buffer
The transient response of both buffers is shown in
Fig.5. It can be seen that the proposed buffer could drive
load at higher speed and accuracy than that of the simple
buffer.
Including transistor area and power consumption, we
have 180 (µm)2: 30 microwatt and 320 (µm)2: 25 microwatt
approximately for the simple and proposed buffer,
respectively. It can be seen that at a slightly difference of
power consumption, the only one drawback of the proposed
buffer is the larger area consuming.
Table1: Design parameters
The simple
buffer
in Fig 1.
The
proposed
buffer
Design
parameters
Mb1, Mb2
Mb3, Mb4
M1, M2
M3, M4
Io1
Mb5, Mb6,
M9, M10
Mb7, Mb8,
M11, M12
M1, M2,
M5, M6
M3, M4,
M7, M8
Io2
Values
30µm /1µm
10µm /1µm
20µm /1µm
60µm /1µm
2µA
30µm /1µm
10µm /1µm
10µm /1µm
30µm /1µm
1µA
5. CONCLUSION
From the consistent results between the theory and
simulation of the proposed technique using in CMOS buffer
design shown in this paper. It can be ensured that, using the
proposed technique, the driving capability of the class-AB
push-pull CMOS buffer is successfully improved, leading to
obtain higher speed and more power efficient suitable for
being an output stage of low power voltage amplifiers.
However, in the presence of the added current booster, we
have to expense larger physical space and complexity in a
circuit realization. Therefore, before using this buffer, it may
need to be carefully considered to make a valuable decision
in some applications.
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