A Linear CMOS Low Drop-Out Voltage Regulator in a 0.6µm CMOS Technology

Similar documents
A Low-Quiescent Current Low-Dropout Regulator with Wide Input Range

Design of High Gain Low Voltage CMOS Comparator

Design of a low voltage,low drop-out (LDO) voltage cmos regulator

Low-voltage, High-precision Bandgap Current Reference Circuit

Design and Implementation of less quiescent current, less dropout LDO Regulator in 90nm Technology Madhukumar A S #1, M.

Analog CMOS Interface Circuits for UMSI Chip of Environmental Monitoring Microsystem

A Compact Folded-cascode Operational Amplifier with Class-AB Output Stage

High Voltage Operational Amplifiers in SOI Technology

A Low Voltage Bandgap Reference Circuit With Current Feedback

CMOS Instrumentation Amplifier with Offset Cancellation Circuitry for Biomedical Application

Voltage Feedback Op Amp (VF-OpAmp)

Topology Selection: Input

DESIGN OF A PROGRAMMABLE LOW POWER LOW DROP-OUT REGULATOR

Lecture 300 Low Voltage Op Amps (3/28/10) Page 300-1

ECEN 474/704 Lab 6: Differential Pairs

Low Power Op-Amp Based on Weak Inversion with Miller-Cascoded Frequency Compensation

An Improved Bandgap Reference (BGR) Circuit with Constant Voltage and Current Outputs

Design of Low Voltage Low Power CMOS OP-AMP

Lecture #3: Voltage Regulator

CMOS Operational Amplifier

Design Analysis and Performance Comparison of Low Power High Gain 2nd Stage Differential Amplifier Along with 1st Stage

Lecture 4: Voltage References

Low Output Impedance 0.6µm-CMOS Sub-Bandgap Reference. V. Gupta and G.A. Rincón-Mora

A Robust Oscillator for Embedded System without External Crystal

Design and implementation of two stage operational amplifier

ANALYSIS AND DESIGN OF ANALOG INTEGRATED CIRCUITS

DESIGN OF A FULLY DIFFERENTIAL HIGH-SPEED HIGH-PRECISION AMPLIFIER

Study of Differential Amplifier using CMOS

Design and Simulation of Low Dropout Regulator

UMAINE ECE Morse Code ROM and Transmitter at ISM Band Frequency

3 ppm Ultra Wide Range Curvature Compensated Bandgap Reference

EE Analog and Non-linear Integrated Circuit Design

Full Paper ACEEE Int. J. on Control System and Instrumentation, Vol. 4, No. 2, June 2013

Design for MOSIS Education Program

Solid State Devices & Circuits. 18. Advanced Techniques

Lecture 10: Accelerometers (Part I)

Chapter 5. Operational Amplifiers and Source Followers. 5.1 Operational Amplifier

Georgia Institute of Technology School of Electrical and Computer Engineering. Midterm Exam

ISSN:

Comparative Analysis of Compensation Techniques for improving PSRR of an OPAMP

A High Gain and Improved Linearity 5.7GHz CMOS LNA with Inductive Source Degeneration Topology

Design of Miller Compensated Two-Stage Operational Amplifier for Data Converter Applications

DESIGN OF A CMOS BANDGAP REFERENCE WITH LOWTEMPERATURE COEFFICIENT AND HIGH POWER SUPPLY REJECTION PERFORMANCE

Design and Performance Analysis of Low Power RF Operational Amplifier using CMOS and BiCMOS Technology

Design and Layout of Two Stage High Bandwidth Operational Amplifier

IOWA STATE UNIVERSITY. EE501 Project. Fully Differential Multi-Stage Op-Amp Design. Ryan Boesch 11/12/2008

REFERENCE circuits are the basic building blocks in many

Chapter 12 Opertational Amplifier Circuits

3-Stage Transimpedance Amplifier

Analysis of 1=f Noise in CMOS Preamplifier With CDS Circuit

IN RECENT years, low-dropout linear regulators (LDOs) are

RT9167/A. Low-Noise, Fixed Output Voltage, 300mA/500mA LDO Regulator Features. General Description. Applications. Ordering Information RT9167/A-

DESIGN AND ANALYSIS OF LOW POWER CHARGE PUMP CIRCUIT FOR PHASE-LOCKED LOOP

Low-Noise Amplifiers

Ultra Low Static Power OTA with Slew Rate Enhancement

Low Power SOC Sensor Interface Design for High Temperature Applications - Doctor of Philosophy Thesis Proposal

A PSEUDO-CLASS-AB TELESCOPIC-CASCODE OPERATIONAL AMPLIFIER

A 16Ω Audio Amplifier with 93.8 mw Peak loadpower and 1.43 quiscent power consumption

Design and Simulation of Voltage-Mode and Current-Mode Class-D Power Amplifiers for 2.4 GHz Applications

Index. Small-Signal Models, 14 saturation current, 3, 5 Transistor Cutoff Frequency, 18 transconductance, 16, 22 transit time, 10

GATE SOLVED PAPER - IN

Advanced Operational Amplifiers

CSE 577 Spring Insoo Kim, Kyusun Choi Mixed Signal CHIP Design Lab. Department of Computer Science & Engineering The Penn State University

LOW CURRENT REFERENCES WITH SUPPLY INSENSITIVE BIASING

Low-output-impedance BiCMOS voltage buffer

A Unity Gain Fully-Differential 10bit and 40MSps Sample-And-Hold Amplifier in 0.18μm CMOS

Designing a 960 MHz CMOS LNA and Mixer using ADS. EE 5390 RFIC Design Michelle Montoya Alfredo Perez. April 15, 2004

Document Name: Electronic Circuits Lab. Facebook: Twitter:

ANALYSIS AND DESIGN OF ANALOG INTEGRATED CIRCUITS

Design of a Folded Cascode Operational Amplifier in a 1.2 Micron Silicon-Carbide CMOS Process

Revision History. Contents

AN ENHANCED LOW POWER HIGH PSRR BAND GAP VOLTAGE REFERENCE USING MOSFETS IN STRONG INVERSION REGION

DESIGN AND ANALYSIS OF SUB 1-V BANDGAP REFERENCE (BGR) VOLTAGE GENERATORS FOR PICOWATT LSI s.

JFET 101, a Tutorial Look at the Junction Field Effect Transistor 8May 2007, edit 2April2016, Wes Hayward, w7zoi

BJT Circuits (MCQs of Moderate Complexity)

Design and Analysis of High Gain Differential Amplifier Using Various Topologies

Design and Simulation of Low Voltage Operational Amplifier

ES 330 Electronics II Homework # 1 (Fall 2016 SOLUTIONS)

Chapter 13: Introduction to Switched- Capacitor Circuits

Atypical op amp consists of a differential input stage,

Preliminary Exam, Fall 2013 Department of Electrical and Computer Engineering University of California, Irvine EECS 170B

Low-Voltage Rail-to-Rail CMOS Operational Amplifier Design

A low voltage rail-to-rail operational amplifier with constant operation and improved process robustness

Accurate Sub-1 V CMOS Bandgap Voltage Reference with PSRR of -118 db

ECEN474/704: (Analog) VLSI Circuit Design Fall 2016

Designing CMOS folded-cascode operational amplifier with flicker noise minimisation

150-mA Ultra Low-Noise LDO Regulator With Error Flag and Discharge Option

What is the typical voltage gain of the basic two stage CMOS opamp we studied? (i) 20dB (ii) 40dB (iii) 80dB (iv) 100dB

Chapter 13 Oscillators and Data Converters

DESIGN OF A NOVEL CURRENT MIRROR BASED DIFFERENTIAL AMPLIFIER DESIGN WITH LATCH NETWORK. Thota Keerthi* 1, Ch. Anil Kumar 2

A Low Dropout Voltage Regulator with Enhanced Transconductance Error Amplifier and Small Output Voltage Variations

Rail-To-Rail Output Op-Amp Design with Negative Miller Capacitance Compensation

500mA Low Noise LDO with Soft Start and Output Discharge Function

SP 22.3: A 12mW Wide Dynamic Range CMOS Front-End for a Portable GPS Receiver

Design of Low-Dropout Regulator

CHAPTER 4 ULTRA WIDE BAND LOW NOISE AMPLIFIER DESIGN

Linear Voltage Regulators Power supplies and chargers SMM Alavi, SBU, Fall2017

Tuesday, February 1st, 9:15 12:00. Snorre Aunet Nanoelectronics group Department of Informatics University of Oslo

A 3-A CMOS low-dropout regulator with adaptive Miller compensation

Lab 2: Discrete BJT Op-Amps (Part I)

Transcription:

International Journal of Electronics and Electrical Engineering Vol. 3, No. 3, June 2015 A Linear CMOS Low DropOut Voltage Regulator in a 0.6µm CMOS Technology Mohammad Maadi Middle East Technical University, Department of Electrical and Electronics Engineering, Ankara, Turkey Email: mohammad.maadi@metu.edu.tr Abstract In most of integrated circuits, especially in Analog/Digital mixed ICs, low dropout voltage regulators are needed to provide a robust, reliable and capable voltage supply. In this paper, a very low dropout and adjustable voltage regulator design in a 0.6μm CMOS technology is presented. Along with theoretical background, design steps, building blocks and simulation results were explained. Our designed voltage regulator works with 8V supply voltage and can give 3V5V user selectable output voltage with 50 ma load current capability. Output dropout is 0.5mV for maximum load. For temperature range of 40C0 to 85C0, output change is less than 5mV, and for a /10% supply change, output change is less than 0.02mV. transistor (bipolar or FET) and an error amplifier with feedback resistors and which their voltage drop is controlled by the amplifier to maintain the output at a required value and constitute the regulation loop. M Vin Vout VREF Opamp Index Terms low dropout (LDO) voltage regulator, bandgap reference, opamp, analog integrated circuit Figure 1. LDO voltage regulator I. INTRODUCTION The reference voltage which can be a zener diode or bandgap reference provides a stable DC bias voltage with limited current driving capabilities. The zener diodes are suitable in high voltage circuits since bandgap references are used for low voltage and high accuracy applications. Low drift references and low input offset voltage amplifiers are preferred, because the temperature dependency of the reference and the amplifier s input offset voltage define the overall temperature coefficient of the regulator. The error amplifier and PMOS transistor form a voltagecontrolled current source. The output voltage, VOUT, is scaled down by the voltage divider (, ) and compared to the reference voltage (VREF) while the error amplifier's output controls an enhancementmode PMOS transistor. The dropout voltage can be defined as the difference between the output and input voltages at which the circuit quits regulation with further reductions in input voltage. The output voltage dropout depends on load current and junction temperature of the pass transistor. In this paper we propose a very lowdropout, precision voltage regulator, which is designed in 0.6μm CMOS technology and is supposed to generate 3V or 5V depending on user configuration, from the nominal 8V supply input. Voltage regulation is the process of holding a voltage steady under conditions of changing aplied voltage, load currents, temperature and etc. Many electronic systems like phones, MP3 players, digital cameras and laptops require a stable power supply voltage. Besides, for the applications such as RF IC, audio IC and some interface electronics which require low noise designs, suitable voltage regulator are essential [1], [2]. Low dropout (LDO) regulators provide high current efficiency, low noise, high accuracy, fast response performance, clean power sources at a cheaper cost, and low standby current due to the absence of switching. Today s higher complexity in portable electronic devices and distributed power sourcing systems, define many important problems which should be solved in the power management to guarantee the correct operation of the circuit. LDO voltage regulators are used in many parts of the circuits and if they cannot turn loads on and off anytime in the circuit, system s power consumption will be increased and reversely the battery lifetime will be decreased. Hence, in order to provide a well regulated output current at the given voltage, a fast transient response and a decreased supply voltage are required. The typical structure of a LDO voltage regulator with seriesshunt negative feedback is shown in Fig. 1. It consists of a reference voltage for scaling the output voltage and comparing it to the reference, a series pass II. The proposed low dropout voltage regulator in this paper consists of an output stage, an error amplifier Manuscript received February 11, 2014; revised June 11, 2014. 2015 Engineering and Technology Publishing doi: 10.12720/ijeee.3.3.191196 PROPOSED LDO VOLTAGE REGULATOR 191

opamp, a bandgap reference circuit and a startup circuit. The basic building blocks and their theoretical backgrounds have been introduced in this section. A. Opamp Opamp is a very important part of many analog electronic circuits. In low dropout regulators, opamps are used in output stages as the error amplifier in negative feedback configuration or in bandgap reference to provide good supply rejection. For a good performance, designed opamps should have high gain, low input offset voltage, high output swing and good stability. In the proposed regulator circuits, opamp is designed in folded cascode topology. Folded cascode is chosen because it provides good output swing and stability [3]. Fig. 2 shows the designed folded cascode opamp. M1 M2 M3 M4 M5 M6 M11 Vin M7 Vin M8 M9 M12 M10 M13 OUT The size of M1 has been chosen one quarter of M4 and M5 to provide 2V OV for the gates of M9 and M10. M2, M6, M11 and, M15 transistors constitute the selfbiasing stage which is used for the biasing of the opamp. The sizes of the transistors are given in the Table I. The gain, phase and output swing of the designed opamp were obtained using some simulations. For AC simulation a 2pF load capacitor was used. The gain and phase response of the opamp have been shown in Fig. 3. The gain of the opamp is 82dB with the gain bandwidth product of 23.4MHz, and the phase margin is 60 0. Since we have a load capacitor which is larger than 2pF, this phase margin ensures the stable operation of the opamp. The output swing characteristic can be seen in the Fig. 4. From the DC simulation it can be seen that, output can swing up to 7.5V in the upper side and, 1.5V in the lower side for 8V supply. For the opamp, the upper side of our regulator is more important than the lower side, because we control a PMOS pass element in the output and opamp must go to high levels to cutoff the current for low load currents. G a i n 100 0 M14 M15 Figure 2. Schematic of designed folded cascode opamp circuit In proposed topology, M7 and M8 are PMOS input transistors. Although, they decrease the gain, PMOS inputs used in folded cascade widely because of their low noise characteristic and low leakage current [3]. The M7 and M8 are designed as large devices to provide high gain. Most of the times cascoded current mirrors are used in folded cascode opamps. In traditional cascoded PMOS current mirrors, the output swing is limited by the V DD 2V OV V TH in the upper side. In this opamp, a low voltage cascode current mirror is implemented [3]. Low voltage cascode mirror needs an external biasing to operate properly. With correct biasing, the voltage swing increases to V DD 2V OV which is two threshold voltages higher than the old configuration [4]. The M4, M9, M5 and, M10 are the transistors for the low voltage cascode mirror. The biasing has been done using M1 and M14. For the correct biasing, the same current is obtained at the current mirror and biasing transistors. TABLE I. M16 SIZE OF THE OPAMP TRANSISTORS M1 M2 M3 M4 M5 M6 W (μm) 12.5 3 22 50 50 1 L (μm) 3 0.6 3 3 3 10 M7 M8 M9 M10 M11 M12 W (μm) 100 100 50 50 2 40 L (μm) 3 3 3 3 0.6 3 M13 M14 M15 M16 M17 W (μm) 40 20 2 20 20 L (μm) 3 6 0.6 3 3 M17 P h a s e 100 0d 200d SEL>> 400d 8.0V 4.0V DB() 100Hz 10KHz 1.0MHz 100MHz 10GHz P() Frequency Figure 3. Frequency response of the opamp 0V 600uV 400uV 200uV 0uV 200uV 400uV 600uV V(IN) Figure 4. Opamp input/output characteristic B. Bandgap Reference Bandgap references are designed to provide temperature and supply insensitive references. Zener diodes are also good voltage references but they provide high voltages and are incompatible with ICs. Bandgap references can be implemented easily in IC technology. The principle behind the bandgap reference is adding up 2015 Engineering and Technology Publishing 192

International Journal of Electronics and Electrical Engineering Vol. 3, No. 3, June 2015 the voltages which have negative and positive temperature coefficients (TC) to get a zero temperature coefficient output. The negative TC is supplied from a forward biased BJT s baseemitter potential. The positive TC is supplied from a kt/q reference. A kt/q reference can be obtained from differentially taken baseemitter potentials. At the temperature point which the bandgap circuit provides zero TC, the voltage seen at the output of circuit is very close to the bandgap of the silicon (1.22 ev) [5]. The designed bandgap reference circuit for this voltage regulator has been shown in Fig. 5. adjustment is found by some simulations. The simulation result for the TC is shown in Fig. 6. TC is set to be zero in 22.5C0 with an output voltage of 1.1609V. Another simulation has been done for the supply rejection. Since we want minimum supply rejection, the topology is chosen appropriately. For supply rejection simulation, the supply voltage swept between 7.2V and 8.8V. Simulation results for supply rejection can be seen in the Fig. 7. The maximum output change for the 7.2V8.8V supply sweep is 0.02mV. 1.1612V 22.5 C 1.1608V M1 M2 M3 1.1604V Q3 Q2 Q1 1.1600V OUT 1.1596V 50 50 100 Figure 6. Bandgap reference temperature characteristic Figure 5. Schematic of designed bandgap reference circuit For the bandgap reference circuit in Fig. 5, the current flowing from the emitters of Q1, Q2 and Q3 are same since a current mirror which consists of M1, M2, and M3 has been used. The voltages at the drains of M1 and M2 are brought to be same using an opamp. So; I E 2 VBE1 VBE 2 I E 2 0 V(:2) KT q ln 1.16090V 1.16086V 1.16085V (1) 1.16084V IS 2 1.16080V (2) I S1 Since Q1 and Q2 are identical except their junction areas and saturation currents are proportional to the junction areas, we can write; VOUT VBE 3 KT q ln A2 A1 1.16075V 0 V(:2) 20.0 40.0 53.8 Figure 7. Bandgap reference supply rejection (3) For a temperature insensitive output voltage; dvout dt M1 0 M2 M3 (4) M5 M4 Since; OUT dt KT q ln A2 A1 (5) StartUp Circuit Q1 The TC (temperature coefficients) of the VBE3 is nearly 1.5 mv/ko but our BJTs have different TCs from this value. By adjusting,, A2 and A1 we can bring the TC of VT to cancel out the TC of VBE3. The zero TC 2015 Engineering and Technology Publishing Q2 dt dvbe 3 M6 dvout Q3 Figure 8. Schematic of the Bandgap reference with startup circuit 193

C. StartUp Circuit The bandgap references have two different operating points. One is correct operation and other is the zero current operating point which we don t want. To bring the operation of bandgap references to the correct point in zero current case, startup circuits are used. In this bandgap reference, a very basic startup circuit was used [6]. Bandgap reference circuit with the startup topology has been shown in the Fig. 8. If the bandgap circuit is stuck at zero current operation, opamp input voltages, V P and V N will be zero. In this case M6 will work in cutoff region and M5 will work in triode region. In this case gate of the M4 will be brought to V DD and the drain of the M4 will be brought to V SS. Because the gates of M1, M2 and, M3 is brought to V SS, these transistors will start to operate in saturation region and they will pass current. Once the bandgap reference is started, V P and V N rise to higher voltages and this will pull the drain of M6 to V SS and cut off the M4. D. Output Stage Output stage of the proposed regulator consists of a PMOS transistor as a pass element, an opamp as an error amplifier and a resistive voltage divider as feedback element. The output stage schematic can be seen in the Fig. 9. Vbg A. Load Capability The required load capability for our regulator specified as maximum 50mA with a maximum 10mV. To assess load capability, we swept load current from 0 to 50mA for 3V output and 5V output configurations. Simulation results are presented in Fig. 10 and Fig. 11. 4.9922V 4.9920V 4.9918V 4.9916V 0A 10mA 20mA 30mA 40mA 50mA I_I1 Figure 10. Output dropout voltage versus load current for 5V output 3.0070V 3.0068V M1 3.0066V 0A 10mA 20mA 30mA 40mA 50mA I_I1 Figure 11. Output dropout voltage versus load current for 3V output Figure 9. Schematic of the output stage of the voltage regulator The transistor is used inside the IC and its value is 1kΩ. resistor can be used to obtain adjustable voltage output. Our bandgap reference gives an output voltage of 1.16V. So, for 3V output should be 1.58kΩ and for 5V output should be 3.3kΩ. The design of the pass transistor is also important. The difference between low dropout regulators and standard regulators is their pass transistor topology. In standard regulators, common drain structure is used but in LDO regulators, connected in common source topology should be used. By this way, the transistor will supply current with a V DSAT dropout voltage. This transistor should be designed to be a large device to supply large loads [7]. In our design, we used a 1000μm/0.6μm PMOS transistor. III. SIMULATION RESULTS To simulate overall structure, all designed modules are gathered. Parasitic inductors which are coming from bonding wires are also added. These parasitic effects are modeled as inductors with 1nH inductances. Fig. 10 and Fig. 11 shows that the regulator has a dropout of 0.5mV for 50mA load current in both 3V and 5V outputs. Designed voltage regulator is capable of supplying 440mA current for 3V output and 310mA current for 5V output with 10mV dropout. 5.028V 5.024V 5.020V 50 0 50 100 Figure 12. Output voltage versus temperature for 5V output B. Temperature Sensitivity To understand the temperature sensitivity of designed voltage regulator, temperature is swept between 40C 0 2015 Engineering and Technology Publishing 194

and 85C 0. The temperature simulations have been done using maximum load current (50mA) condition. Simulation results are presented in Fig. 12 and Fig. 13. 3.008V 3.006V 3.004V 3.002V 50 0 50 100 Figure 13. Output voltage versus temperature for 3V output Fig. 12 shows that for 5V and 3V output, between 40C 0 and 85C 0, output voltage change is maximum 5mV and 3mV, respectively. The maximum output voltage change occurs at temperature ranges between 40C 0 to 22C 0 and 22C 0 to 85C 0. Though, the bandgap designed to show zero temperature coefficients in 22C 0. Also the minimum voltage changes can be obtained in this temperature. 5.0272V 5.0271V C. Supply Sensitivity Supply sensitivity is assessed by changing supply voltage by /10%. Our regulator is designed to operate in 8V supply voltage. So in simulations, supply is varied between 7.2V and 8.8V. All supply sensitivity simulations have been done using minimum load (0A) condition. This condition is the worst case because, PMOS pass transistor is very large and it can difficultly controls the low currents. Simulation results are presented in Fig. 14 and Fig. 15. From Fig. 14 and Fig. 15, it can be seen that the designed voltage regulator has very good supply insensitivity. In the supply voltage range of 7.2V8.8V, for 5V and 3V configurations, the output voltage change is 0.17mV and 0.1mV, respectively. Another important parameter for a voltage regulator is Power Supply Rejection Ratio (PSRR). PSRR is a figure of merit which shows how the noise in the supply voltage reflects to the output [5]. PSRR formula is given in Equation 6 where the V nsupply is the supply noise and V noutput is the output noise. V PSRR 20log nsupply (6) V noutput The PSRR simulation result can be seen in Fig. 16. The PSRR of the designed regulator is 85.6dB for 1 khz noise bandwidth. This means, the noise in the voltage supply reflects output after being attenuated by 85.6dB in the 1 khz bandwidth P S R R 100 5.0270V 75 5.0269V 7.2V 7.6V 8.0V 8.4V 8.8V V_V1 Figure 14. Output voltage versus supply voltage for 5V output 3.00704V 50 10Hz 100Hz 1.0KHz 10KHz 100KHz DB(V()/) Frequency Figure 16. PSRR simulation result 3.00700V 3.00696V 3.00692V 7.2V 7.6V 8.0V 8.4V 8.8V V_V1 Figure 15. Output Voltage versus supply voltage for 3V output IV. CONCLUSION A low dropout and adjustable linear CMOS voltage regulator was designed and simulated. Designed regulator can supply 3V to 5V which is user selectable. An opamp, a bandgap reference and a pass transistor were designed. Simulations have been done to assess performance of the regulator. Simulations are based on supply, temperature and load sweeping. Noise performance is also assessed by simulations. Important specifications of the designed regulator are given in the Table II. 2015 Engineering and Technology Publishing 195

TABLE II. LDO VOLTAGE REGULATOR SPECIFICATIONS Specification Supply Voltage Regulated Voltage Source Current Capability Regulated Voltage Change w.r.t. Temperature (40C 0 to 85C 0 ) Regulated Voltage Change w.r.t Supply Voltage (/10%) Regulated Voltage Change Under Maximum Load PSRR REFERENCES Value 8V 3V5V (user selectable) 50 ma 5mV for 3V Output 3mV for 5V Output 0.10mV for 3V Output 0.17mV for 5V Output 0.5mV for 3V Output 0.5mV for 5V Output 85.6dB for 1kHz Bandwidth [1] M. Maadi and B. Bayram, Custom integrated circuit design for ultrasonic therapeutic CMUT array, Microsystem Technologies, Mar. 2014. [2] S. K. Hoon, S. Chen, F. Maloberti, J. Chen, and B. Aravind, A low noise, high power supply rejection low dropout regulator for wireless systemonchip applications, in Proc. IEEE Custom Integr. Circuits Conf., 2005. [3] B. Razavi, Design of Analog CMOS Integrated Circuits, McGraw Hill, 2001, ch. 9. [4] A. S. Sedra and K. C. Smith, Microelectronic Circuits, Oxford Press, 2004, ch. 9. [5] P. Allen and D. Holdberg, CMOS Analog Circuit Design, Oxford Press, 1987. [6] P. R. Gray, P. J. Hurst, S. H. Lewis, and R. G. Meyer, Analysis and Design of Analog Integrated Circuits, John Wiley and Sons, 2001. [7] L. Gutierrez, E. Roa, and H. Hernandez, A currentefficient, lowdropout regulator with improved load regulation, in Proc. IEEE Workshop on Microelectronics and Electronics Devices, 2009. Mohammad Maadi was born in Macoo, Iran. He received the B.S. degree in 2007 from IAU and the M.S. degree in 2013 from Middle East Technical University; both degrees were in electrical and electronics engineering. From 2007 to 2010, he worked as an electronics engineer and project manager in some private companies of Iran. He could get the membership of the Iranian Inventors Association after registering his B.S. project, Intelligent Color Recognizer and Analyzer System, as an invention in the General Department of Industrial Ownerships of Iran in 2008. From 2011 to 2013, he got TUBITAK scholarship as a Research Assistant in the Department of Electrical and Electronics Engineering at Middle East Technical University. During his M.S., he mainly focused on integrated circuit design for flipchip bonded capacitive micromachined ultrasonic transducers (CMUTs). His research interests include integrated circuit design for ultrasound 3D imaging and therapeutic CMUT arrays, design of analog, digital and mixedsignal integrated circuits and design of micro electromechanical systems (MEMS) for medical applications. 2015 Engineering and Technology Publishing 196