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Study on Performance of Capacitor-less LDO with
Different Types of Resistor
Wan Maziyah Ab. Halim
Dept. of Electronic Engineering
UNiKL BMI
Malaysia
maziyah.halim@s.unikl.edu.my
Yuzman Yusoff
Research and Development (IC),
MIMOS Bhd.
Malaysia
yuzman@mimos.my
Julie Roslita Rusli
Dept. of Electronic Engineering
UNiKL BMI
Malaysia
julie@unikl.edu.my
Chia Chieu Yin
Research and Development (IC),
MIMOS Bhd.
Malaysia
cy.chia@mimos.my
Suhaidi Shafie
Dept. of Electrical & Electronic
Engineering
UPM
Malaysia
suhaidi@upm.edu.my
Abstract—This paper studies the impact of utilizing different
resistor types in capacitor-less low drop-out (LDO) voltage
regulator on its key performance characteristics. In order to
achieve this, a 1.8 V LDO voltage regulator is designed and
characterized using 180 nm CMOS technology with a supply
voltage of 3.3 V. Simulations are done in schematic level using
Cadence on five different types of resistor for the same LDO,
and the performance in terms of output voltage accuracy,
stability and power supply rejection ratio (PSRR) are
compared. From the simulation results, significant differences
are observed in the LDO’s performance with different types of
resistor. The LDO with hpoly resistor gives the best results in
terms of stability while pdiffb resistor LDO produces the highest
PSRR.
Keywords—capacitor-less LDO, capacitor-less LDO
performance comparison, LDO resistor type comparison
I. INTRODUCTION
The expansion of mobile electronics area makes a low
dropout (LDO) voltage regulator an important building block
in power management system as it can be designed to supply
a specific desired output voltage needed by the circuits from
limited supply voltage. It enables the user to regulate an output
voltage from a higher input voltage in a simple and
inexpensive way [1] as it is used to approximate an ideal
voltage source in real life [2]. A basic LDO circuit consists of
four main parts; the error amplifier, the pass transistor, the
feedback network and the load as shown in Fig. 1 [2]. One of
the recent improvement areas in LDOs is to make it capacitor-
less. In LDOs, a bulky external capacitor, denoted as CL in
Fig. 1, is often needed to provide stability and good transient
response. Stability is critical in LDO design since the unity
gain bandwidth (UGBW) and the poles locations are directly
affected by the load current IL [3]. The PSRR can also be
improved by using the large off-chip load capacitor. However,
the drawback of using it is mainly the need to use external
component, hence preventing the LDO to be used in system-
on-chip (SOC) solutions, besides higher cost and increased
total printed circuit board (PCB) area [3]. Therefore, a LDO
that has good stability and high PSRR but does not require a
large external capacitor will provide a great advantage to a
system which aims for minimum external component and
minimal area, which is what portable device is all about these
days.
An LDO’s performance is measured and evaluated based
on a few key criteria. One of the key criteria is the stability,
and the parameter which is used to determine it is the phase
margin. In order for the system to be considered stable, the
phase margin needs to be at least 60°. Another key criterion of
the LDO is the PSRR. PSRR refers to the amount of voltage
ripple at the output of the LDO coming from the input voltage
[3]. The PSRR is measured in decibel (dB), with greater
magnitudes implying better ripple rejection at the output.
Variation across temperature and process also have to be
considered, especially in systems involving resistors and
capacitors. These variations can affect the output voltage
accuracy of the LDO, since they can cause a change in a
particular parameter in the elements, such as resistance,
current and etc. This is because capacitors and resistors are
circuit elements in which their values change with temperature
[4].
Multiple studies and research were done in different areas
of a LDO to improve its performance. For error amplifiers,
different circuit approach and topologies were studied in order
to find the best solution. Studies were also done on the pass
transistor, on whether it is best to use NMOS or PMOS to get
the best results under different conditions. There are also
complementary circuits suggested in other studies to improve
the PSRR of the LDO. Since numerous studies were done in
the mentioned areas and other complementary circuits of the
LDO, this paper will focus on the impact of different resistor
types on the LDO performance. Different resistor types have
different parameters, such as sheet resistivity which will affect
its total area, parasitic capacitance, and variation in
temperature and process. These parameters might affect the
performance of the LDO in the key criteria discussed
Fig. 1 Basic LDO topology
previously. Due to its capacitor-less feature, parasitic
capacitance has become an important parameter to be
considered, as the LDO will not have the large external
capacitor for stability compensation. Since there will be two
resistors in the voltage divider, matching is also an important
feature to achieve optimum results [5].
II. LDO DESIGN
A. LDO Sub-circuits Design
The LDO in this paper employed a single stage differential
op-amp topology for its error amplifier as shown in Fig. 2. The
topology was chosen for design simplicity and stability
purpose [6].
The pass transistor used for the LDO is a PMOS. PMOS
is widely used in most LDOs as the pass transistor due to its
characteristic of operation which turns on when the gate
voltage is lower than the source voltage by a threshold voltage.
This makes it suitable for systems with low supply voltage [7],
which is currently the case for most integrated circuit designs
as CMOS technology becomes smaller in scale with time. If a
NMOS is to be used as the pass transistor, a higher voltage
which is sufficient enough to turn on the pass transistor is
required. If the supply voltage is not high enough,
complementary circuits to boost up the voltage at the gate is
needed.
Two resistors were used for the feedback network in the
LDO as shown in Fig. 1. In this design, the value of VREF is
1.2 V, and it will set the feedback node of the LDO to this
voltage. A 120 kΩ resistor for R2 was needed to maintain the
pre-set current of 10 µA going through the two resistors. R1
was set to 60 kΩ in order to generate the 1.8 V output voltage
of the LDO.
The load current set for the simulation was 10 mA, with a
load capacitor of 100 pF. The load capacitance was decided
based on available capacitor-less LDOs [8] [9].
B. Tested Resistor Types
Various resistor types are available in the 180 nm CMOS
process library. There are resistors with smaller resistance
value (in the range of tens to kΩ) while there are also resistors
which can provide larger resistance values (up to the range of
MΩ). Each resistor type comes with its own parasitic element
modelled by the foundry, which means the parasitics were
considered and included when the resistor was simulated. The
resistors tested in this paper are all in the larger resistance
value category, as the resistance of R1 and R2 are in the range
of tens and hundreds of kΩ. The resistors tested were finalized
to be five types as listed below:
i. hpoly (High P+ poly resistor)
ii. pplyb (P poly unsalicide resistor)
iii. pdiffb (P+ diffusion unsalicide resistor)
iv. ndiffb (N+ diffusion unsalicide resistor)
v. sbninw (N+ diffusion unsalicide resistor on nwell)
III. DESIGN AND TEST METHODOLOGY
In designing the LDO used for this study, the initial step
was to design and characterize an error amplifier to satisfy
certain basic requirements such as gain, stability and PSRR.
The error amplifier was then integrated with a PMOS pass
transistor and a feedback network using ideal resistors to
develop a complete LDO. The size of the pass transistor was
properly tuned until it can drive the current set at the output
node.
The simulated results of ideal resistors were obtained, and
the resistors for the feedback network were changed from
ideal to real resistors listed in section II (B). Simulations were
repeated for every type of resistor. The parameters of each
resistor material were set so that R1 and R2 would have the
same width. The purpose of fixing the width was to match
both resistors R1 and R2. R1 and R2 were divided into
segments with each segment having the same width and
length. This provides great advantage in matching and
parasitic distribution in layout design. The usage of unit
resistor is important for precision over large temperature
range [10]. Table I specifies the details of the parameters set
for all resistors used in the tests.
TABLE I. RESISTOR MATERIAL TYPE AND RESPECTIVE
PARAMETERS SET
W/L ratio
No. of
Segments
W/L ratio
No. of
Segments
Ideal n/a n/a n/a n/a n/a
hpoly 1/9 6 1/9 12 840
pplyb 1/31 6 1/31 12 2600
pdiffb 1/23 20 1/23 40 6600
ndiffb 1/29 30 1/29 60 12000
sbninw 1/33 30 1/33 60 18500
Material
R1 = 60 kΩ R2 = 120 kΩ Estimated
Total Area
/ µm2
Fig. 2. Single-stage Op-amp Circuit
IV. RESULTS AND DISCUSSION
The LDOs with different resistors were compared in the
following criteria:
A. Output voltage accuracy
B. Phase margin
C. UGBW
D. PSRR
A. Output Voltage Accuracy
The output voltage of the LDO with all resistors showed
fairly accurate reading from 99.99% to 100% of accuracy as
shown in Table II, taking the expected value of 1.8 V as 100%
benchmark. This shows that there is almost no degradation in
resistance value and no changes in current at the output node.
LDOs with hpoly, pplyb and pdiffb produced the output
voltage of 1.7999 V, while the LDOs with ndiffb and sbninw
produced 1.8 V, the same with the expected output voltage of
the LDO. All output voltages are shown in Fig. 3.
The output voltage was also simulated from a temperature
of -40 °C to 125 °C, and the results showed very small
variation for the five types of resistor, within the range of 30
µV to 50 µV. Based on Fig. 4, hpoly and pplyb have almost
identical variation curve across temperature, overlapping
with the ideal resistor’s curve. As for pdiffb, the pattern is the
same with hpoly and pplyb but at 20 µV lower potential.
Resistors ndiffb and sbninw have slightly different curve
patterns from the rest at higher temperatures.
In terms of process variation as can be seen in Fig. 5, three
defined process in the library for the resistors were simulated;
minimum, typical and maximum. The LDO with hpoly and
pplyb resistors have the smallest voltage difference between
minimum and maximum with 0.8 µV of voltage change,
while the LDO with sbninw resistor, with 6.8 µV has the
largest voltage change. From the voltage change shown in
Table II, it can be observed that the value becomes larger for
resistors which have larger total area which was shown in
Table I.
B. Phase Margin
The phase margin produced by using ideal resistors was
84.8°, which is considered very stable for most systems, and
followed closely by the LDO with hpoly, with a phase margin
of 83.6°, showing a slight degradation from the ideal resistor.
The LDO using pplyb came in third with 80.7°. Out of the
five tested resistors, hpoly and pplyb were the only types
which maintained the phase margin to be above 60°. The
phase margin for the LDO using pdiffb was 53.0°, followed
by sbninw with 50.4° and the lowest phase margin was 38.9°,
produced by ndiffb with a difference of 45.9° compared to the
ideal resistors LDO. All phase margin curves are included in
Fig. 6.
Obvious degradation in phase margins could be observed
for LDOs using ndiffb and sbninw resistors probably due to
the parasitic capacitance produced by them. As the sheet
resistivity for the two materials are much lower (below 100
Ω) compared to hpoly, pplyb and pdiffb (between 300Ω to 1
kΩ), the estimated total areas for ndiffb and sbninw were
therefore larger, producing higher parasitic capacitance. If the
parasitic capacitance is large enough, the position of the
secondary pole could possibly be shifted, causing the system
to become less stable.
Fig. 3 LDO Output voltage for all types of resistor.
Fig. 4 LDO output voltage across temperature for all resistor types
Fig. 5 LDO output voltage with process variation for all resistor types
C. UGBW
All materials produced the same DC gain of approximately
76 dB as can be seen in Fig. 7. In terms of UGBW, LDOs with
hpoly and pplyb had the same value with the ideal resistor
UGBW of 1.86 MHz. The LDO with pdiffb resistor showed a
slight decline to 1.58 MHz, followed by sbninw with 1.49
MHz. The lowest UGBW came from the LDO with ndiffb
resistor with 1.23 MHz of UGBW, showing degradation of
630 kHz from the LDO with the ideal resistors.
D. PSRR
As shown in Fig. 8, the PSRR for ideal resistor LDO were
approximately 76 dB, 65 dB, 25 dB and 6 dB at 10 Hz, 1 kHz,
100 kHz and 1 MHz respectively. The PSRR for all resistor
types were around the same values as the ideal resistor LDO
at 10 Hz. At 1 kHz, except for LDO using pdiffb resistor
which obtained higher PSRR at about 72 dB, all other
resistors had 65 dB of PSRR. At 100 kHz, the LDO with
pdiffb resistor again showed the highest PSRR with 34 dB,
while the rest of the resistors obtained the same PSRR as the
ideal resistor LDO with 25 dB. The variation of PSRR at 1
MHz was more distinct for LDOs with pdiffb, ndiffb and
sbninw with 10 dB, 1 dB and 3 dB respectively, while hpoly
and pplyb showed the same PSRR as the ideal resistor LDO
with 6 dB. While the LDOs using hpoly and pplyb resistors
had the closest results to ideal resistor, the LDO using pdiffb
resistor showed the highest PSRR at all three frequencies
compared to the other materials, while ndiffb has the lowest
PSRR at 1MHz frequency, as can be seen in Table II. The
only difference between pdiffb and the other resistors is its
body connection. While the body connections for hpoly,
pplyb and ndiffb were to ground, the body of pdiffb was
connected to the supply voltage. This implies that the
parasitic capacitance models of the pdiffb resistor was also
connected to the supply voltage. Table II summarizes the
simulated performances of the LDO with different types of
resistor.
TABLE II. STABILITY AND PSRR COMPARISON FOR DIFFERENT
RESISTOR TYPE LDOS
V. CONCLUSION
From the results, it is concluded that there are significant
impacts in LDO performance when using different types of
resistor. All five different types of resistor produce high level
of accuracy for the output voltage with very small variation
across temperature and under different process. In overall,
hpoly has the best results comparable to the ideal resistor in
terms of stability, with 1% difference in phase margin and
identical UGBW with the ideal resistor, followed closely by
pplyb. In terms of PSRR on the other hand, pdiffb shows the
highest result, with a significant increase of approximately
11% at 1 kHz, 36% at 100 kHz and 67% at 1 MHz as
compared to the ideal resistor. The drawback of pdiffb resistor
Vout (V)
Accuracy
(%)
ΔV-Process
(µV)
@10 Hz @1 kHz @100 kHz @1 MHz
Ideal 1.7999 99.99 n/a 1.86 M 84.8 76 65 25 6
hpoly 1.7999 99.99 0.8 1.86 M 83.6 76 65 25 6
pplyb 1.7999 99.99 0.8 1.86 M 80.7 76 65 25 6
pdiffb 1.7999 99.99 3.5 1.58 M 53.0 76 72 34 10
ndiffb 1.8000 100.00 4.1 1.23 M 38.9 76 65 25 1
sbninw 1.8000 100.00 6.9 1.49 M 50.4 76 65 25 3
PSRR (dB)
Resistor
Type
UGBW
(Hz)
Phase
Margin
(°)
Output Voltage Accuracy
Fig. 6 Phase margins for all materials
Fig. 7 DC gain for all materials
Fig. 8 PSRR for all materials
is its relatively much lower sheet resistivity compared to
hpoly and pplyb, which results in very large area consumption
for large resistance values, thus making it less suitable for
LDOs which aim for low quiescent current. Nonetheless, if
PSRR is the highest priority, pdiffb would make the best
option given that bigger current is acceptable to compensate
lower resistance value in order to reduce the total area of the
resistor.
ACKNOWLEDGMENT
The authors would like to thank Universiti Kuala Lumpur
British Malaysia Institute (UNiKL BMI), MIMOS and
Universiti Putra Malaysia (UPM) for supporting and
accommodating this research.
REFERENCES
[1] M. Day, “Understanding Low Droput (LDO) Regulators”, 2006 Texas
Intruments Power Design Seminar.
[2] M. Wang, “A Capacitor-less Wide-Band Power Supply Rejection Low
Dropout Voltage Regulator with Capacitance Multiplier”, unpublished.
[3] J. Tores, M. El-Nozahi, A. Amer, S. Gopalraju, R. Abdullah, K.
Entesari, E. Sanchez-Sinencio “Low Drop-Out Voltage Regulators:
Capacitor-less Architecture Comparison”, IEEE Circuits and Systems
Magazine, May 2014
[4] R. J. Baker, “CMOS Circuit Design, Layout, and Simulation”, Revised
Second Edition, Ch.5, pg. 105, 2007
[5] T.G. O’Dwyer, M.P. Kennedy, “Comparison of resistor matching
performance of polysilicon films in a CMOS process”, 2009 Ph.D.
Research in Microelectronics and Electronics, IEEE.
[6] E. Sanchez-Sinencio, “Low Drop-Out (LDO) Linear Regulators:
Design Considerations and Trends for High PowerSupply Rejection
(PSR)”, IEEE Santa Clara Valley (SCV), Solid State Circuits Society,
Feb. 2011
[7] B. M. King “Advantages of Using PMOS-type Low-dropout Linear
Regulators in Battery Applications”, Analog Applications Journal,
August 2000
[8] C. Zang, G. Cai, W. Ki “A Transient-Enhanced Output-Capacitor-Free
Low-Dropout Regulator With Dynamic Miller Compensation”, IEEE
Transactions on Very Large Scale Integration (VLSI) Systems, Vol.
27, No. 1, Jan. 2019
[9] J. Zarate-Roldan, M. Wang, J. Torres, E. Sanchez-Sinencio “A
Capacitor-Less LDO With High-Frequency PSR Suitable for a Wide
Range of On-Chip Capacitive Loads”, IEEE Transactions on Very
Large Scale Integration (VLSI) Systems, Vol. 24, No. 9, Sept. 2016
[10] R. J. Baker, “CMOS Circuit Design, Layout, and Simulation”, Revised
Second Edition, Ch.5, pg. 109, 2007

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Study on performance of capacitor less ldo with different types of resistor

  • 1. Study on Performance of Capacitor-less LDO with Different Types of Resistor Wan Maziyah Ab. Halim Dept. of Electronic Engineering UNiKL BMI Malaysia maziyah.halim@s.unikl.edu.my Yuzman Yusoff Research and Development (IC), MIMOS Bhd. Malaysia yuzman@mimos.my Julie Roslita Rusli Dept. of Electronic Engineering UNiKL BMI Malaysia julie@unikl.edu.my Chia Chieu Yin Research and Development (IC), MIMOS Bhd. Malaysia cy.chia@mimos.my Suhaidi Shafie Dept. of Electrical & Electronic Engineering UPM Malaysia suhaidi@upm.edu.my Abstract—This paper studies the impact of utilizing different resistor types in capacitor-less low drop-out (LDO) voltage regulator on its key performance characteristics. In order to achieve this, a 1.8 V LDO voltage regulator is designed and characterized using 180 nm CMOS technology with a supply voltage of 3.3 V. Simulations are done in schematic level using Cadence on five different types of resistor for the same LDO, and the performance in terms of output voltage accuracy, stability and power supply rejection ratio (PSRR) are compared. From the simulation results, significant differences are observed in the LDO’s performance with different types of resistor. The LDO with hpoly resistor gives the best results in terms of stability while pdiffb resistor LDO produces the highest PSRR. Keywords—capacitor-less LDO, capacitor-less LDO performance comparison, LDO resistor type comparison I. INTRODUCTION The expansion of mobile electronics area makes a low dropout (LDO) voltage regulator an important building block in power management system as it can be designed to supply a specific desired output voltage needed by the circuits from limited supply voltage. It enables the user to regulate an output voltage from a higher input voltage in a simple and inexpensive way [1] as it is used to approximate an ideal voltage source in real life [2]. A basic LDO circuit consists of four main parts; the error amplifier, the pass transistor, the feedback network and the load as shown in Fig. 1 [2]. One of the recent improvement areas in LDOs is to make it capacitor- less. In LDOs, a bulky external capacitor, denoted as CL in Fig. 1, is often needed to provide stability and good transient response. Stability is critical in LDO design since the unity gain bandwidth (UGBW) and the poles locations are directly affected by the load current IL [3]. The PSRR can also be improved by using the large off-chip load capacitor. However, the drawback of using it is mainly the need to use external component, hence preventing the LDO to be used in system- on-chip (SOC) solutions, besides higher cost and increased total printed circuit board (PCB) area [3]. Therefore, a LDO that has good stability and high PSRR but does not require a large external capacitor will provide a great advantage to a system which aims for minimum external component and minimal area, which is what portable device is all about these days. An LDO’s performance is measured and evaluated based on a few key criteria. One of the key criteria is the stability, and the parameter which is used to determine it is the phase margin. In order for the system to be considered stable, the phase margin needs to be at least 60°. Another key criterion of the LDO is the PSRR. PSRR refers to the amount of voltage ripple at the output of the LDO coming from the input voltage [3]. The PSRR is measured in decibel (dB), with greater magnitudes implying better ripple rejection at the output. Variation across temperature and process also have to be considered, especially in systems involving resistors and capacitors. These variations can affect the output voltage accuracy of the LDO, since they can cause a change in a particular parameter in the elements, such as resistance, current and etc. This is because capacitors and resistors are circuit elements in which their values change with temperature [4]. Multiple studies and research were done in different areas of a LDO to improve its performance. For error amplifiers, different circuit approach and topologies were studied in order to find the best solution. Studies were also done on the pass transistor, on whether it is best to use NMOS or PMOS to get the best results under different conditions. There are also complementary circuits suggested in other studies to improve the PSRR of the LDO. Since numerous studies were done in the mentioned areas and other complementary circuits of the LDO, this paper will focus on the impact of different resistor types on the LDO performance. Different resistor types have different parameters, such as sheet resistivity which will affect its total area, parasitic capacitance, and variation in temperature and process. These parameters might affect the performance of the LDO in the key criteria discussed Fig. 1 Basic LDO topology
  • 2. previously. Due to its capacitor-less feature, parasitic capacitance has become an important parameter to be considered, as the LDO will not have the large external capacitor for stability compensation. Since there will be two resistors in the voltage divider, matching is also an important feature to achieve optimum results [5]. II. LDO DESIGN A. LDO Sub-circuits Design The LDO in this paper employed a single stage differential op-amp topology for its error amplifier as shown in Fig. 2. The topology was chosen for design simplicity and stability purpose [6]. The pass transistor used for the LDO is a PMOS. PMOS is widely used in most LDOs as the pass transistor due to its characteristic of operation which turns on when the gate voltage is lower than the source voltage by a threshold voltage. This makes it suitable for systems with low supply voltage [7], which is currently the case for most integrated circuit designs as CMOS technology becomes smaller in scale with time. If a NMOS is to be used as the pass transistor, a higher voltage which is sufficient enough to turn on the pass transistor is required. If the supply voltage is not high enough, complementary circuits to boost up the voltage at the gate is needed. Two resistors were used for the feedback network in the LDO as shown in Fig. 1. In this design, the value of VREF is 1.2 V, and it will set the feedback node of the LDO to this voltage. A 120 kΩ resistor for R2 was needed to maintain the pre-set current of 10 µA going through the two resistors. R1 was set to 60 kΩ in order to generate the 1.8 V output voltage of the LDO. The load current set for the simulation was 10 mA, with a load capacitor of 100 pF. The load capacitance was decided based on available capacitor-less LDOs [8] [9]. B. Tested Resistor Types Various resistor types are available in the 180 nm CMOS process library. There are resistors with smaller resistance value (in the range of tens to kΩ) while there are also resistors which can provide larger resistance values (up to the range of MΩ). Each resistor type comes with its own parasitic element modelled by the foundry, which means the parasitics were considered and included when the resistor was simulated. The resistors tested in this paper are all in the larger resistance value category, as the resistance of R1 and R2 are in the range of tens and hundreds of kΩ. The resistors tested were finalized to be five types as listed below: i. hpoly (High P+ poly resistor) ii. pplyb (P poly unsalicide resistor) iii. pdiffb (P+ diffusion unsalicide resistor) iv. ndiffb (N+ diffusion unsalicide resistor) v. sbninw (N+ diffusion unsalicide resistor on nwell) III. DESIGN AND TEST METHODOLOGY In designing the LDO used for this study, the initial step was to design and characterize an error amplifier to satisfy certain basic requirements such as gain, stability and PSRR. The error amplifier was then integrated with a PMOS pass transistor and a feedback network using ideal resistors to develop a complete LDO. The size of the pass transistor was properly tuned until it can drive the current set at the output node. The simulated results of ideal resistors were obtained, and the resistors for the feedback network were changed from ideal to real resistors listed in section II (B). Simulations were repeated for every type of resistor. The parameters of each resistor material were set so that R1 and R2 would have the same width. The purpose of fixing the width was to match both resistors R1 and R2. R1 and R2 were divided into segments with each segment having the same width and length. This provides great advantage in matching and parasitic distribution in layout design. The usage of unit resistor is important for precision over large temperature range [10]. Table I specifies the details of the parameters set for all resistors used in the tests. TABLE I. RESISTOR MATERIAL TYPE AND RESPECTIVE PARAMETERS SET W/L ratio No. of Segments W/L ratio No. of Segments Ideal n/a n/a n/a n/a n/a hpoly 1/9 6 1/9 12 840 pplyb 1/31 6 1/31 12 2600 pdiffb 1/23 20 1/23 40 6600 ndiffb 1/29 30 1/29 60 12000 sbninw 1/33 30 1/33 60 18500 Material R1 = 60 kΩ R2 = 120 kΩ Estimated Total Area / µm2 Fig. 2. Single-stage Op-amp Circuit
  • 3. IV. RESULTS AND DISCUSSION The LDOs with different resistors were compared in the following criteria: A. Output voltage accuracy B. Phase margin C. UGBW D. PSRR A. Output Voltage Accuracy The output voltage of the LDO with all resistors showed fairly accurate reading from 99.99% to 100% of accuracy as shown in Table II, taking the expected value of 1.8 V as 100% benchmark. This shows that there is almost no degradation in resistance value and no changes in current at the output node. LDOs with hpoly, pplyb and pdiffb produced the output voltage of 1.7999 V, while the LDOs with ndiffb and sbninw produced 1.8 V, the same with the expected output voltage of the LDO. All output voltages are shown in Fig. 3. The output voltage was also simulated from a temperature of -40 °C to 125 °C, and the results showed very small variation for the five types of resistor, within the range of 30 µV to 50 µV. Based on Fig. 4, hpoly and pplyb have almost identical variation curve across temperature, overlapping with the ideal resistor’s curve. As for pdiffb, the pattern is the same with hpoly and pplyb but at 20 µV lower potential. Resistors ndiffb and sbninw have slightly different curve patterns from the rest at higher temperatures. In terms of process variation as can be seen in Fig. 5, three defined process in the library for the resistors were simulated; minimum, typical and maximum. The LDO with hpoly and pplyb resistors have the smallest voltage difference between minimum and maximum with 0.8 µV of voltage change, while the LDO with sbninw resistor, with 6.8 µV has the largest voltage change. From the voltage change shown in Table II, it can be observed that the value becomes larger for resistors which have larger total area which was shown in Table I. B. Phase Margin The phase margin produced by using ideal resistors was 84.8°, which is considered very stable for most systems, and followed closely by the LDO with hpoly, with a phase margin of 83.6°, showing a slight degradation from the ideal resistor. The LDO using pplyb came in third with 80.7°. Out of the five tested resistors, hpoly and pplyb were the only types which maintained the phase margin to be above 60°. The phase margin for the LDO using pdiffb was 53.0°, followed by sbninw with 50.4° and the lowest phase margin was 38.9°, produced by ndiffb with a difference of 45.9° compared to the ideal resistors LDO. All phase margin curves are included in Fig. 6. Obvious degradation in phase margins could be observed for LDOs using ndiffb and sbninw resistors probably due to the parasitic capacitance produced by them. As the sheet resistivity for the two materials are much lower (below 100 Ω) compared to hpoly, pplyb and pdiffb (between 300Ω to 1 kΩ), the estimated total areas for ndiffb and sbninw were therefore larger, producing higher parasitic capacitance. If the parasitic capacitance is large enough, the position of the secondary pole could possibly be shifted, causing the system to become less stable. Fig. 3 LDO Output voltage for all types of resistor. Fig. 4 LDO output voltage across temperature for all resistor types Fig. 5 LDO output voltage with process variation for all resistor types
  • 4. C. UGBW All materials produced the same DC gain of approximately 76 dB as can be seen in Fig. 7. In terms of UGBW, LDOs with hpoly and pplyb had the same value with the ideal resistor UGBW of 1.86 MHz. The LDO with pdiffb resistor showed a slight decline to 1.58 MHz, followed by sbninw with 1.49 MHz. The lowest UGBW came from the LDO with ndiffb resistor with 1.23 MHz of UGBW, showing degradation of 630 kHz from the LDO with the ideal resistors. D. PSRR As shown in Fig. 8, the PSRR for ideal resistor LDO were approximately 76 dB, 65 dB, 25 dB and 6 dB at 10 Hz, 1 kHz, 100 kHz and 1 MHz respectively. The PSRR for all resistor types were around the same values as the ideal resistor LDO at 10 Hz. At 1 kHz, except for LDO using pdiffb resistor which obtained higher PSRR at about 72 dB, all other resistors had 65 dB of PSRR. At 100 kHz, the LDO with pdiffb resistor again showed the highest PSRR with 34 dB, while the rest of the resistors obtained the same PSRR as the ideal resistor LDO with 25 dB. The variation of PSRR at 1 MHz was more distinct for LDOs with pdiffb, ndiffb and sbninw with 10 dB, 1 dB and 3 dB respectively, while hpoly and pplyb showed the same PSRR as the ideal resistor LDO with 6 dB. While the LDOs using hpoly and pplyb resistors had the closest results to ideal resistor, the LDO using pdiffb resistor showed the highest PSRR at all three frequencies compared to the other materials, while ndiffb has the lowest PSRR at 1MHz frequency, as can be seen in Table II. The only difference between pdiffb and the other resistors is its body connection. While the body connections for hpoly, pplyb and ndiffb were to ground, the body of pdiffb was connected to the supply voltage. This implies that the parasitic capacitance models of the pdiffb resistor was also connected to the supply voltage. Table II summarizes the simulated performances of the LDO with different types of resistor. TABLE II. STABILITY AND PSRR COMPARISON FOR DIFFERENT RESISTOR TYPE LDOS V. CONCLUSION From the results, it is concluded that there are significant impacts in LDO performance when using different types of resistor. All five different types of resistor produce high level of accuracy for the output voltage with very small variation across temperature and under different process. In overall, hpoly has the best results comparable to the ideal resistor in terms of stability, with 1% difference in phase margin and identical UGBW with the ideal resistor, followed closely by pplyb. In terms of PSRR on the other hand, pdiffb shows the highest result, with a significant increase of approximately 11% at 1 kHz, 36% at 100 kHz and 67% at 1 MHz as compared to the ideal resistor. The drawback of pdiffb resistor Vout (V) Accuracy (%) ΔV-Process (µV) @10 Hz @1 kHz @100 kHz @1 MHz Ideal 1.7999 99.99 n/a 1.86 M 84.8 76 65 25 6 hpoly 1.7999 99.99 0.8 1.86 M 83.6 76 65 25 6 pplyb 1.7999 99.99 0.8 1.86 M 80.7 76 65 25 6 pdiffb 1.7999 99.99 3.5 1.58 M 53.0 76 72 34 10 ndiffb 1.8000 100.00 4.1 1.23 M 38.9 76 65 25 1 sbninw 1.8000 100.00 6.9 1.49 M 50.4 76 65 25 3 PSRR (dB) Resistor Type UGBW (Hz) Phase Margin (°) Output Voltage Accuracy Fig. 6 Phase margins for all materials Fig. 7 DC gain for all materials Fig. 8 PSRR for all materials
  • 5. is its relatively much lower sheet resistivity compared to hpoly and pplyb, which results in very large area consumption for large resistance values, thus making it less suitable for LDOs which aim for low quiescent current. Nonetheless, if PSRR is the highest priority, pdiffb would make the best option given that bigger current is acceptable to compensate lower resistance value in order to reduce the total area of the resistor. ACKNOWLEDGMENT The authors would like to thank Universiti Kuala Lumpur British Malaysia Institute (UNiKL BMI), MIMOS and Universiti Putra Malaysia (UPM) for supporting and accommodating this research. REFERENCES [1] M. Day, “Understanding Low Droput (LDO) Regulators”, 2006 Texas Intruments Power Design Seminar. [2] M. Wang, “A Capacitor-less Wide-Band Power Supply Rejection Low Dropout Voltage Regulator with Capacitance Multiplier”, unpublished. [3] J. Tores, M. El-Nozahi, A. Amer, S. Gopalraju, R. Abdullah, K. Entesari, E. Sanchez-Sinencio “Low Drop-Out Voltage Regulators: Capacitor-less Architecture Comparison”, IEEE Circuits and Systems Magazine, May 2014 [4] R. J. Baker, “CMOS Circuit Design, Layout, and Simulation”, Revised Second Edition, Ch.5, pg. 105, 2007 [5] T.G. O’Dwyer, M.P. Kennedy, “Comparison of resistor matching performance of polysilicon films in a CMOS process”, 2009 Ph.D. Research in Microelectronics and Electronics, IEEE. [6] E. Sanchez-Sinencio, “Low Drop-Out (LDO) Linear Regulators: Design Considerations and Trends for High PowerSupply Rejection (PSR)”, IEEE Santa Clara Valley (SCV), Solid State Circuits Society, Feb. 2011 [7] B. M. King “Advantages of Using PMOS-type Low-dropout Linear Regulators in Battery Applications”, Analog Applications Journal, August 2000 [8] C. Zang, G. Cai, W. Ki “A Transient-Enhanced Output-Capacitor-Free Low-Dropout Regulator With Dynamic Miller Compensation”, IEEE Transactions on Very Large Scale Integration (VLSI) Systems, Vol. 27, No. 1, Jan. 2019 [9] J. Zarate-Roldan, M. Wang, J. Torres, E. Sanchez-Sinencio “A Capacitor-Less LDO With High-Frequency PSR Suitable for a Wide Range of On-Chip Capacitive Loads”, IEEE Transactions on Very Large Scale Integration (VLSI) Systems, Vol. 24, No. 9, Sept. 2016 [10] R. J. Baker, “CMOS Circuit Design, Layout, and Simulation”, Revised Second Edition, Ch.5, pg. 109, 2007