Analog Integr Circ Sig Process DOI 10.1007/s10470-011-9811-6 Current buffer compensation topologies for LDOs with improved transient performance Annajirao Garimella • Paul M. Furth Punith R. Surkanti • Nitya R. Thota • Received: 19 January 2011 / Revised: 27 September 2011 / Accepted: 4 November 2011 Ó Springer Science+Business Media, LLC 2011 Abstract The goal of internal frequency compensation of a low dropout voltage regulator (LDO) is the selection of a small-value, ESR-independent output capacitor. Cascode compensation formed by a common-gate transistor acting as a current buffer, an optional series resistor, and a compensation capacitor creates a dominant pole and a left-halfplane (LHP) zero, allowing adequate phase margin and stable LDO design. To this end, a 1.21 V output, 100 mA, 0.1–10 lF output capacitor, ESR-independent, low voltage LDO using cascode compensation with replica bias is designed and fabricated in a 0.5 lm CMOS process with an area of 0.22 mm2. A line regulation of 0.05% V/V, load regulation of 0.001% V/mA and dropout voltage of 220 mV were measured. LDO-specific pole-zero analysis is detailed. In addition to this design, two improved transient response LDO architectures using cascode compensation with split-length transistors are also explored. A Power Good feature is discussed, which enables direct interface between the LDO and a micro-processor. Keywords Low dropout voltage regulator (LDO) Miller compensation Cascode compensation Split-length transistors Current buffers Feedback amplifiers Wide-swing differential amplifier A. Garimella (&) P. M. Furth P. R. Surkanti N. R. Thota Klipsch School of Electrical and Computer Engineering, New Mexico State University, Las Cruces, NM 88003, USA e-mail: garimella@ieee.org P. M. Furth e-mail: pfurth@nmsu.edu P. R. Surkanti e-mail: punith@nmsu.edu N. R. Thota e-mail: nityat@nmsu.edu 1 Introduction Power management circuits are becoming ubiquitous and challenging, with the proliferation of System-on-Chip (SoC) integration and functionality. Traditionally the Power Management Unit (PMU), consisting of regulated power supply circuits, was implemented as a separate design or as an off-the-shelf IC. SoCs with an integrated PMU enable the design of electronic systems with drastically reduced PCB area, number of external components, and bill of materials [1]. Low dropout voltage regulators often require a large offchip external output capacitor for stability and improved transient-response, which cannot be integrated on the SoC. Capacitor-free LDOs completely eliminate the off-chip capacitor [2]. Alternatively, LDO designs using low-value and/or wide-range off-chip capacitors are becoming important [3–6], as the PCB area and bill of materials can be reduced. The proposed LDO is stable for a wide range of off-chip output capacitors, in particular 0.1–10 lF ceramic or MLCC. An additional feature of the LDO is a digital Power Good output, used for power-up sequencing. It is asserted digital low when the regulated output voltage falls below its nominal value. This LDO is aimed for batterypowered micro-processor systems. 1.1 Outline In this paper we present a replica-biased two-stage LDO with cascode compensation which is fabricated in a 0.5 lm CMOS process and measured. In addition, we also explore two other LDO topologies using split-length cascode compensation. Section 2 describes three types of compensation networks: Miller, cascode and split-length cascode compensation. The proposed replica-biased LDO design, pole-zero analysis, 123 Analog Integr Circ Sig Process phase margin optimization and Power Good output are explained in Sect. 3. Experimental results of the replica-biased LDO are summarized in Sect. 4. The design and simulation of LDO topologies with split-length cascode compensation are described in Sect. 5. Section 6 details the circuitry of the Power Good feature. Conclusions are drawn in Sect. 7. Virtual open Ic _ V1 g m1 VOUT -gmp MCG VCG + CCAS Ic 2 Compensation network (a) The choice of frequency compensation is key for the stability of an LDO. CCAS 2.1 Miller compensation xZ1 ¼ gmp =½CMILLER RZ CMILLER gmp þ Cgd;PASS : ð1Þ This RHP zero can be eliminated or moved to the left-half plane (LHP) by proper selection of RZ. 2.2 Cascode compensation Cascode compensation, also known as Ahuja compensation, introduced in [7, 8] and utilized in [3, 4, 9–13], uses Miller compensation with a common-gate transistor as a current buffer, obviating the RHP zero, introducing an LHP zero and thus improving stability. The two-stage op-amp in [11] utilizes cascode compensation and unconditional stability is achieved with an output capacitive load from 10 pF (no-load) to 100 nF. This kind of output capacitance variation is desirable in LDOs. As shown in Fig. 2, the compensation capacitor CCAS is connected between VOUT and the internal node V1 through VREF Cgs,PASS _ g VLINE MPASS -gmp V1 m1 + Cgd,PASS ωZ = − g mCG CCAS (b) Fig. 2 a Cascode compensation scheme. b Small-signal model of the compensation network and equation of LHP zero a common-gate transistor amplifier MCG, eliminating the feedforward path. IC is a dc bias current entering and leaving node V1, forming a virtual open at node V1. The location of the LHP zero is given by gmCG xZ;CAS ¼ : ð2Þ CCAS In Miller compensation, an external nulling resistor RZ was used to either eliminate the RHP zero or move it to the LHP. Instead of a resistor, a current buffer with low input impedance is used in cascode compensation to create an LHP zero by removing the feed-forward path. Cascode compensation also offers a wider range of output capacitor for the same value of compensation capacitor by a factor of (CCAS/C1), where C1 is the equivalent capacitance to ground at node V1 [8]. 2.3 Cascode compensation with programmable zero location At times, it is not possible to move the LHP zero (to cancel a pole) due to sizing constraints on the common-gate transistor MCG and area constraints on CCAS. A simple and effective method of moving the LHP zero is to place a series resistor RCAS between the source node of the common-gate transistor MCG and compensation capacitor CCAS, as illustrated in Fig. 3. VOUT V1 CMILLER RZ RESR Feedforward Path RF1 COUT VCG RCAS MCG RCAS Fig. 1 Two stage LDO utilizing Miller compensation with nulling resistor VOUT Ic (a) CCAS 1 gmCG CCAS ILOAD RF2 123 VOUT 1 gmCG In conventional Miller compensation, shown in Fig. 1, the compensation capacitor CMILLER forms a feedforward path [7] that couples the input node of the second stage V1 directly to the output terminal VOUT, introducing a righthalf-plane (RHP) zero. Circuit analysis of Fig. 1 gives the location of this RHP zero at Feedforward path eliminated ωZ = − 1 (RCAS + 1 g mCG ) CCAS (b) Fig. 3 a Cascode compensation scheme with series resistor. b Smallsignal model of compensation network and equation of LHP zero Analog Integr Circ Sig Process The location of the new LHP zero is given by xZ ¼ 1 1 RCAS CCAS ð1=gmCG þ RCAS ÞCCAS ð3Þ As the value of RCAS increases, the LHP zero becomes more dominant. The technique of adding a series resistor to cascode compensation networks was recently demonstrated in [13–16]. 2.4 Cascode compensation using split-length transistors In [17, 18], the authors introduce the technique of splitlength transistors, in which a low-impedance node is created by splitting a transistor of length L into two series transistors of length L1 and L2, where L1 ? L2 = L, as shown in Fig. 4(a,b). The bottom transistor always operates in the triode, or linear, region. The technique of cascode compensation using split-length transistor can be extended to include an optional series resistor, as shown in Fig. 4(c). Assuming MSL1 and MSL2 are matched, the location of the new LHP zero is given by xZ;SL ¼ 1 1 RCAS CCAS ð1=gmSL þ RCAS ÞCCAS ð4Þ 3 Design of the proposed LDO Figure 5 shows the schematic of the proposed low dropout voltage regulator [19], which consists of an error amplifier, a PMOS pass transistor MPASS, a sampling network, a cascode compensation network with replica bias and bias transistors. W L1 W L Low Impedance Node W L2 L = L1 + L2 (a) MSL1 CCAS RCAS CCAS MSL2 (b) (c) Fig. 4 a Split-length NMOS transistor introducing low-impedance node [17]. b Cascode compensation using split-length transistors [18]. c Split-length cascode compensation with series resistor MCG is the common-gate transistor amplifier, or the cascode transistor, used for compensation. The compensation capacitor CCAS is connected between the output node VOUT and the source terminal of transistor MCG. The dc bias current sinking from V1 to ground through MCG and M7 is IC. A replica bias, similar to the one in [9], formed by MCGR and M7R is utilized to source IC at node V1. Current mirror transistors M3 and M4 are reutilized instead of adding two more PMOS bias transistors. Transistor MCGR is also a cascode transistor, and reduces VDS mismatch between M7R and M7 and improves current matching. Rather than using a separate voltage VCG, as in Fig. 2, the gate terminals of MCG and MCGR are connected to the voltage reference VREF. The dc current IC is a scaled version of IBIAS, in order to reduce the total quiescent current. Small value capacitors CF1 and CF2 are connected in parallel with sampling feedback resistors RF1 and RF2, respectively, to filter high frequency noise and to improve high frequency response, as described in [5]. Device dimensions of the LDO using cascode compensation with replica bias are summarized in Table 1. The ratio of sampling resistors RF1/RF2 determines the output voltage. The larger the value of RF1 and RF2, the lower the resistor bias current. Hence, RF1 is chosen as 20 kX and RF2 is chosen as 200 kX for a bias current of 5.5 lA. The size of the PMOS pass element MPASS is determined by the maximum output current, 100 mA, and desired dropout voltage of 200 mV. Transistor length is approximately inversely proportional to bandwidth and directly proportional to matching and gain. We selected a default value for transistor length of 1.2 lm, two times the minimum, for moderate gain, good matching, and high speed. PMOS transistors have a width of approximately three times that of NMOS transistors at the same bias current, so as to achieve the same transconductance. 3.1 Pole-zero analysis The small-signal equivalent model of the LDO using cascode compensation is shown in Fig. 6. The loop-gain transfer function of the LDO is given by vfb T ðsÞ ¼ ðsÞ vs ADC ð1 þ s=xZ1 Þð1 þ s=xZ2 Þð1 þ s=xZ3 Þ ; ¼ ð1 þ s=xP1 Þð1 þ s=xP2 Þð1 þ s=xP3 Þð1 þ s=xP4 Þ ð5Þ where ADC is the DC loop gain. The system has three zeros and four poles. R1 is the resistance, C1 is the capacitance and gm1 is the transconductance associated with node V1. The transconductance of the common-gate transistor amplifier MCG is gmCG. R2 is the equivalent output resistance given by Rds,PASS||(RF1 ? RF2). COUT is the output capacitance. Cgd,PASS is the gate-drain capacitance and gmP is the 123 Analog Integr Circ Sig Process VLINE M3 Cgs,PASS M4 IBias M PASS gmPASS V1 VREF MCGR VFB gm1 M CG VREF M2 M1 gmCG iC CCAS R F1 M7 RF2 iC M7R M6 Bias Stage M5 Replica Bias Cgd,PASS Cascode Compensation Error Amplifier VOUT CF1 VFB CF2 Power Stage Fig. 5 Proposed low drop-out voltage regulator architecture using cascode compensation with replica bias [19] Cgd,PASS Table 1 Device dimensions of the proposed LDO with replica bias Device Bias current Dimension/value v v3 CCAS 1 M1, M2 40 lA 50/1.2, m = 4 M3, M4 50 lA 150/1.2, m = 4 M5 80 lA 50/1.2, m = 8 M6, M7, M7R 10 lA 50/1.2, m = 1 MCG, MCGR 10 lA 12/0.6, m = 1 MPASS 100 mA 33,000/0.6 RF1, RF2 5.5 lA 20 kX, 200 kX CF1, CF2 – 1 pF, 1 pF CCAS – 25 pF transconductance of the pass transistor MPASS. Note that C1 = Cgd4 ? Cgd2 ? Cgs,PASS. Cgd,PASS and CCAS are of the same order and have typical values of 10–25 pF. As such, Cgd,PASS cannot be ignored. Capacitors CF1 and CF2 are 1 pF each and are neglected in the frequency analysis. The DC loop gain ADC is ADC ¼ b gm1 gmp R1 R2 ; ð6Þ where the feedback factor b is given by RF2/(RF1 ? RF2). The dominant LHP zero due to cascode compensation is xZ1 ¼ gmCG =CCAS : ð7Þ + vs - gm1 vs ð8Þ The RHP zero due to the parasitic Cgd,PASS is given by xZ3 ¼ þgmp =Cgd;PASS : 1 gmcgv3 1 gmCG gmPv1 R2 RESR RF1 COUT + RF2 vfb - Fig. 6 Small signal equivalent model of the LDO of Fig. 5 Referring to the values of Table 2, the first LHP zero xZ1 effectively cancels xP3; xP4 and xZ3 are located at much higher frequencies than the unity-gain frequency (UGF) and can be neglected for the purpose of analyzing stability. 3.2 Optimum phase margin The phase margin u is given by [4, 11] u ¼ 90 arctanð1=SÞ þ arctanðLÞ; ð10Þ where larger stability quality factor S corresponds to larger phase margin. L corresponds to the effect of the LHP zero xZ2 on the phase margin. The larger the value of L, the higher the phase margin. S is calculated as This LHP zero helps to increase the bandwidth. The LHP zero due to the ESR of the output capacitor COUT is xZ2 ¼ 1=RESR COUT : R C1 vout ¼ S ¼ xP2 =xUGF ¼ xP2 =ADC xP1 2 pffiffiffiffiffiffiffiffi pffiffiffiffiffiffiffiffi COUT = gmP þ gmP R1 CCAS þ Cgd;PASS h i : mP gm1 R21 Cgs;PASS COUT þ ggmCG CCAS ð11Þ ð9Þ L is calculated as Assuming that the poles and zeros are widely-separated real poles, their approximate equations and frequency values for IL = 1 mA and COUT = 0.1 lF are given in Table 2. Figure 7 illustrates the approximate pole-zero locations. 123 L ¼ xUGF =xZ2 : ð12Þ Ignoring the effect of L on phase margin, as xZ2 is more than a decade higher than xP2, the minimum phase margin Analog Integr Circ Sig Process Equation 1 xP1 ¼ R 2 COUT þgmp R2 R1 xP2 ¼ R 1 Cgd;PASS xP3 ¼ COUT þgmp R1 ðCCAS þCgd;PASS Þ xUGF ¼ C Replica-biased LDO with Cascode Compensation ω Z2 ω Z1 ω P3 ω P2 1 Cgd;PASS þ C11 Equation Approx. location 182 Hz xZ1 ¼ gCmCG CAS 1.34 MHz 354 kHz xZ2 ¼ RESR1COUT 16 MHz 1.4 MHz gmP xZ3 ¼ þ Cgd;PASS 1.1 GHz 18 GHz bgm1 ðCOUT =gmp R1 Þ 4.1 MHz CAS þCgd;PASS þ Im ω P1 Approx. location ðCOUT þgmp CCAS =gmCG Þ gmCG ½COUT þðgmp CCAS =gmCG Þ CCAS COUT 1 xP4 ¼ RESR ω P4 ðCCAS þCgd;PASS Þ ω Z3 R e Gain (dB) Table 2 Pole-zero locations of cascode compensation LDO 60 30 0 -30 -60 I LOAD = 100mA I LOAD = 1mA 10 2 Fig. 7 Diagram illustrating pole-zero location of Fig. 5 (not to scale) gmp ¼ COUT =½R1 ðCCAS þ Cgd;PASS Þ: ð13Þ Substituting (13) into (11), Smin ¼ 4 ðCCAS þ Cgd;PASS Þ : gm1 R1 Cgd;PASS 4 10 6 Frequency (Hz) Phase (Degrees) will occur either at qS/qgmp = 0 or at qS/qCOUT = 0. Solving for qS/qgmp, the optimum gmp , 10 180 I LOAD = 100mA 120 60 I LOAD = 1mA 0 10 2 10 4 10 6 Frequency (Hz) ð14Þ Solving qS/qCOUT = 0 results in the same Smin as in (14). The value of the compensation capacitor CCAS is given by gm1 R1 1 : ð15Þ CCAS ¼ Cgd;PASS 4 tanð90 /Þ From (15) we see that minimizing Cgd,PASS through careful layout is critical to obtaining a low optimum value for CCAS. If we were to substitute (11) into (12), we would see that phase margin increases with COUT. In particular, the LDO is less stable for 0.1 lF and more stable for 10 lF. Figure 8 shows the simulation of the loop gain and phase response of the proposed LDO for the worst case COUT of 0.1 lF. For simulations, we used Cadence Spectre with 0.5 lm transistor models from MOSIS. Default values used in simulations are: VLINE = 2.5 V, VREF = 1.1 V and IBIAS = 10 lA and typical transistor models at room temperature. 3.3 Power Good output A Power Good output VPG is an important feature available in commercial LDOs [20]. It can be used to implement a power-on-reset or low-battery indicator in portable appliances and functions as a supply voltage supervisor for the output voltage. It is asserted digital low when the output of Fig. 8 Loop gain and phase response of the proposed LDO with COUT = 0.1 lF and ILOAD = 1 and 100 mA the LDO falls below its normal regulating level. It is asserted high when the regulated output voltage is within x% of its nominal value. The Power Good output can be obtained by comparing the feedback voltage VFB with a Power Good reference voltage VPGREF. VPGREF can be chosen as (1 - x)% of the reference voltage, such that the power-up sequence [21] of the microprocessor will resume whenever VOUT is within x% of its nominal value. This Power Good digital signal, described in detail in Sect. 6, can be interfaced with SM BusÒ or PM BusÒ for system level integration. 4 Experimental results The proposed LDO has been implemented using a 2P3M 0.5 lm CMOS process with nominal VTP = 0.95 V and VTN = 0.73 V. Figure 9 shows the micrograph of the LDO. An external voltage reference VREF of 1.1 V was chosen. An on-chip compensation capacitor CCAS of 25 pF is used. The total experimental quiescent current IQ (except for the Power Good circuitry) is 111 lA with IBIAS = 10 lA. Figure 10 shows the measured power-up and powerdown response of the proposed LDO. The dropout voltage is defined as the difference between the input line voltage VLINE and output voltage VOUT when VOUT drops 100 mV 123 Analog Integr Circ Sig Process Fig. 11 Measured line transient response of the proposed LDO. ILOAD = 1 mA Fig. 9 Micrograph of the proposed LDO (762 lm 9 284 lm) Fig. 12 Measured load transient response of the proposed LDO. VLINE = 2.5 V Fig. 10 Measured power-up and power-down response of the proposed LDO. Input Vin (= VLINE), the off, dropout and regulating regions of VOUT, and the Power Good output VPG can be seen below the value measured with VLINE = VOUT ? 1 V [22]. The measured value is 220 mV at a maximum load current of 100 mA and 45 mV at a minimum load current of 1 mA. The Power Good output VPG is asserted high whenever the output voltage VOUT is within 5% of its nominal value. Figure 11 shows the measured line regulation and line transient response of the proposed LDO for COUT = 0.1–10 lF and for VLINE changing from 1.5 to 2.5 V with rise and fall times of approximately 10 ns. The load current is fixed at 1 mA. The measured steady-state output change due to a 1 V step in the input voltage is DVOUT = 0.5 mV. Hence, the line regulation DVOUT/DVLINE = 0.05% V/V. The line transient response, which is the maximum minus the minimum transient output voltage, is measured as 91 mV for COUT = 0.1 lF. Figure 12 shows the measured load transient response of the proposed LDO for 0.1–10 lF output capacitor values when ILOAD is varied from 1 mA to 100 mA with rise and fall times of the pulse signal that are approximately 10 ns. The input voltage is equal to 2.5 V. The measured steadystate output change due to a 99 mA change in load current is DVOUT = 1 mV. Hence, the load regulation DVOUT/ 123 DILOAD = 0.001% V/mA. The load transient response is measured as 280 mV for COUT = 0.1 lF. The power supply rejection (PSR), also known as ripple rejection, measures the regulator’s ability to prevent regulated output voltage fluctuations caused by input voltage fluctuations. For a small sinusoidal signal superimposed on a DC input voltage of 2.5 V, the PSR is measured as 20log10(VOUT,RMS/VLINE,RMS). The measured PSR of the proposed LDO at 100 Hz is -52.5 dB and at 10 kHz is -45.2 dB. Current efficiency is the ratio of the maximum output load current to the total current supplied by VLINE. The current efficiency is computed as ILOAD,MAX/(ILOAD,MAX ? IQ) = 99.89%. The performance of the proposed LDO is summarized in Table 3. The proposed LDO provides excellent regulation and response to line and load transients with an output capacitor as small as 0.1 lF and with an ESR of as little as 0 X. 5 LDO architectures using current buffers with improved transient performance The Figure of Merit (FOM) of [3] is used to compare different LDO architectures. Analog Integr Circ Sig Process VLINE Table 3 Measured performance summary of the LDO 1 : K M3 M4 Input voltage range, VLINE 1.43–3.3 V Regulated output voltage VOUT 1.21 V Load current range, ILOAD 1–100 mA Line regulation, DVOUT%/ DVLINE 0.05% V/V M1A M2A Load regulation, DVOUT%/ DILOAD 0.001% V/mA 1 : M1B K M2B Max load transient DVOUT 280 mV with COUT = 0.1 lF Dropout voltage, Vdrop-out 45 mV with ILOAD = 1 mA, 220 mV with ILOAD = 100 mA PSR –52.5 dB at 100 Hz, –45.2 dB at 10 kHz Output Cap value, COUT 0.1–10 lF Output Cap type Power Good output, VPG Ceramic, MLCC Digital high @ 95% of VOUT Process 0.5 lm CMOS 2P3M Area 762 lm 9 284 lm FOM ¼ COUT DVOUT IQ ; ILOAD;MAX ILOAD;MAX I Bias MPASS V1 VFB 1 : K VOUT VREF CCAS iC RF1A VPGFB CF1 R F2B VFB M6 Bias Stage M5 Error Amplifier CF2 RF2 Power Stage Fig. 13 Schematic of LDO with SLDP cascode compensation ð16Þ where DVOUT refers to load transient response. The smaller the FOM, the better is the LDO performance. Fixing ILOAD,MAX at 100 mA and COUT at 0.1 lF, we set out to explore, through simulation, LDO architectures that reduce one or both of DVOUT and IQ. 5.1 Cascode compensation using split-length transistors The schematic of Fig. 5 has two additional branch currents for the particular implementation of cascode compensation: one on the right of the differential pair that connects to the compensation capacitor CCAS, and the replica on the left for good matching. These two branch currents can be eliminated if another suitable node is introduced for cascode compensation. Figure 4 demonstrates the use of splitlength transistors to create a low impedance node [17, 18], with the extension of adding an optional series resistor. Figure 13 shows the schematic of a two-stage LDO that implements split-length differential-pair (SLDP) cascode compensation. It is also possible to split the length of the PMOS transistors in the current-mirror M3–M4. However, compensation close to the supply rail results in poor PSR. Thus, for improved PSR, differential pair transistors M1–M2 have been split [18]. One drawback of SLDP cascode compensation is that the compensation capacitor CCAS must be larger in order to obtain a phase margin similar to that of the proposed LDO with replica bias. Referring to Fig. 13, the majority of the compensation current iC through CCAS goes directly through the channel of transistor M2A to node V1. However, approximately one-fourth of iC goes through the source/ drain terminals of three transistors in series M2B, M1B, and M1A. This current is then inverted through the PMOS current mirror before reaching node V1. The result is that as much as one-half of the compensation current is canceled. In order to restore the net amount of compensation current reaching node V1, CCAS must be doubled. An optional resistor in series with CCAS was found to reduce phase margin for any resistance value, and was therefore rejected from this design. In Fig. 13 the differential pair is scaled such that the right branch has K times the bias current of the left branch. This scaling increases phase margin and improves load and line transient response, as more current is available to drive the large parasitic capacitances associated with MPASS. Two other changes in Fig. 13, as compared to Fig. 5, are in the feedback network. CF2 is eliminated, or more precisely, replaced with the parasitic capacitances at the gates of M1A–M1B. And resistor RF1 is split into two elements, RF1A and RF1B. The advantage is that the newly generated signal, VPGFB, can be compared directly to VREF in the Power Good circuit, thereby eliminating the need for a second reference voltage signal VPGREF from the design. 5.2 SLDP cascode compensation with a wide-swing differential amplifier The major drawback of the circuit in Fig. 13 is that the dropout voltage is increased, as compared to the proposed LDO with replica bias. There are now three series devices between node V1 (the gate of MPASS) and ground, M2A, M2B, and M5. Reducing the number of series devices between the gate of MPASS and ground can result in significantly lower dropout voltage. The circuit of Fig. 14 employs SLDP cascode compensation with the addition of two current mirrors to create 123 Analog Integr Circ Sig Process VLINE M9 M3 1 : K M4 M13 I BIAS MPASS V1 M8 M12 VCP V FB M1B M7 VOUT VREF M1A M6 M14 M2A RCAS CCAS RF1A M2B VFB M10 M5 Bias Stage VPGFB CF1 R F2B 1 : K M11 CF2 RF2 Power Stage Error Amplifier Fig. 14 Schematic of LDO using SLDP cascode compensation with a WSDA Table 4 Device dimensions of LDOs with improved transient performance Bias currents SLDP cascode compensation (Fig. 13) Bias currents SLDP cascode with WSDA (Fig. 14) M1A, M1B 10 lA 50/0.6, m = 1 10 lA 50/0.6, m = 2 M2A, M2B 80 lA 50/0.6, m = 8 10 lA 50/0.6, m = 2 M3 10 lA 150/1.2, m = 1 10 lA 150/1.2, m = 1 M4 80 lA 150/1.2, m = 8 10 lA 150/1.2, m = 1 M5 90 lA 50/1.2, m = 9 20 lA 50/1.2, m = 2 M6 10 lA 50/1.2, m = 1 10 lA 50/1.2, m = 1 MPASS M7, M10 100 mA 33,000/0.6 100 mA 10 lA 22,200/0.6 50/1.2, m = 1 M11 80 lA 50/1.2, m = 8 M8, M9, M12, M13 10 lA 150/1.2, m = 1 M14 80 lA 150/1.2, m = 8 RF1A, RF1B 5.5 lA 19 kX, 21 kX 5.5 lA 19 kX, 21 kX RF2 5.5 lA 400 kX 5.5 lA 400 kX CF1, CCAS 2 pF, 37.5 pF a wide-swing differential amplifier (WSDA) [17]. K-times transistor scaling is moved from the differential pair in Fig. 13 to the output of the WSDA in Fig. 14. Node V1 is now pulled towards ground with only one series device, M11. The dropout voltage is decreased to such an extent that reducing the size of MPASS and CCAS by 33% becomes feasible. The addition of a small-value resistor RCAS in series with CCAS results in improved load transient response, with little-to-no effect on line transient response and PSR. RCAS is thus included in the design. A complication arising from the WSDA in Fig. 14 is poorer line regulation and PSR, as compared to the LDO 123 2 pF, 25 pF with replica bias. This complication can be ameliorated with the addition of transistor M12, a cascode transistor that attempts to equalize VSD for the current mirror formed by transistor M3 and M13. In order to bias the gate of M12, an additional current branch formed by transistors M7–M9 becomes necessary. Device dimensions for the LDO employing SLDP cascode compensation and the LDO using SLDP cascode compensation with WSDA are given in Table 4. The three LDO architectures using current buffer compensation described in this work were simulated for comparison purposes. Figure 15 shows the simulated load transient response for (a) the LDO using replica bias, (b) the Analog Integr Circ Sig Process in good agreement with simulated values for the proposed LDO. The FOM, defined in (16), is 0.311 ns for hardware measurements and 0.285 ns for simulated measurements, differing by \10%. FOM decreases to 0.162 ns for the LDO with SLDP cascode compensation and decreases further to 0.150 ns with the use of a WSDA. 1.4 (a) 1.2 1 VOUT (V) (b) 0.8 0.6 (c) 0.4 6 Power Good comparator circuit with hysteresis 0.2 100mA ILOAD dIL/dt = 10ns 0 1mA 5 10 15 20 25 30 35 40 Time (us) Fig. 15 Transient load response of LDOs using: a cascode compensation with replica bias, b SLDP cascode compensation, and c SLDP cascode compensation with WSDA. COUT = 0.1 lF, VLINE = 2.5 V LDO using SLDP cascode compensation, and (c) the LDO using SLDP cascode compensation with WSDA for the condition that COUT = 0.1 lF and VLINE = 2.5 V. The total change in output voltage is the smallest for the LDO using SLDP cascode compensation with WSDA. Table 5 compares the hardware and simulated performance characteristics of the proposed LDO using cascode compensation with replica bias (Fig. 5). Simulated performance characteristics are also given for the two LDOs with improved transient performance. Measured results are Table 5 Comparison of Performance Characteristics of LDOs The schematic of a Power Good comparator circuit is given in Fig. 16. A differential amplifier, powered by the unregulated input voltage VLINE, compares the reference voltage VREF to VPGFB, a signal generated by feedback resistors in Figs. 12 and 13. Two series inverters, powered by the regulated output voltage VOUT, further amplify the output of the differential amplifier. By powering the inverters with VOUT, the output logic levels of VPG are guaranteed to be compatible with those of the micro-processor that it may be resetting. The Power Good comparator of Fig. 16 incorporates hysteresis using an unbalanced differential pair [23, 24]. The amount of hysteresis is adjustable through the bias current of transistor M11. In order to obtain a hysteresis voltage of approximately 10 mV, transistor M11 was sized 1/16th the value of M5. Device dimensions for the Power Good comparator circuit are given in Table 6. A power-up and power-down transient simulation of the LDO using SLDP cascode compensation with WSDA is shown in Fig. 17 under the condition of ILOAD = 100 mA. Hardware measurements Simulated measurement results Replica biasing Replica biasing SLDP cascode SLDP with WSDA VOUT (V) 1.21 1.21 1.21 1.21 ILOAD,MAX (mA) 100 100 100 100 VDROP-OUT (mV) 220 262 386 212 Output Cap (lF) 0.1 0.1 0.1 0.1 IQ at full load (lA) 111 111 84.2 113 Load transient DVOUT (mV) 280 256 192 133 FOM (ns) 0.311 0.285 0.162 0.150 Current efficiency at ILOAD,MAX (%) 99.89 99.89 99.92 99.89 Line Transient DVOUT (mV) 91 78.0 64.8 104 PSR 100 Hz (dB) -52.5 -58.7 -70.4 -42.4 10 kHz (dB) -45.2 -55.4 -61.9 -42.3 – -37.0 -42.0 -39.4 100 kHz (dB) Regulation Line (V/V) 0.05% 0.092% 0.072% 1.38% Load (V/mA) 0.001% 0.008% 0.007% 0.007% W/L of MPASS (lm/lm) 33,000/0.6 33,000/0.6 33,000/0.6 22,000/0.6 Total CC (pF) 27 27 39.5 27 123 Analog Integr Circ Sig Process VLINE M3 M4 VOUT I BIAS M8 VPGFB M1 VPG VREF VPG M13 M12 M5 M6 Bias Stage M2 M 11 Differential Amplifier M10 M7 Hysteresis Circuit M9 Inverters Fig. 16 Power Good comparator with hysteresis using an unbalanced differential pair Table 6 Device dimensions of the Power Good comparator with hysteresis M1, M2 50/1.2, m = 1 M5 50/1.2, m = 2 M3, M4, M8 150/1.2, m = 1 M6, M7 50/1.2, m = 1 M9 50/1.2, m = 4 M10 150/1.2, m = 4 M11 12/2.4, m = 1 M12, M13 12/0.6, m = 1 The Power Good signal VPG is asserted high when VOUT is within 5% of its nominal output value of 1.21 V. Hysteresis is measured as 11 mV. 4.5 VLINE 4 3.5 3 2.5 2 1.5 0V This paper presents a wide-range output capacitor, ESRindependent, CMOS low drop-out voltage regulator, which utilizes current buffer compensation in the form of cascode compensation with replica bias to improve stability. Simulation and experimental results agree in demonstrating the effectiveness of the proposed approach. Furthermore, two LDO architectures which utilize cascode compensation with split-length transistors are explored through simulation, demonstrating notable improvements in terms of load transient and FOM, which are summarized in Table 5. The load transient DVOUT of LDO with SLDP cascode compensation is 192 mV and DVOUT of LDO with SLDP ? WSDA is 133 mV. The FOM of both LDO architectures is reduced by as much as 47%, from 0.285 to 0.150 ns. The LDO with SLDP exhibit an improvement in PSR by 5 dB or higher for a frequency range of 1–100 kHz. The pass transistor size of the LDO with SLDP ? WSDA is 22,000 lm, which is 33% less than the other LDOs and the compensation 123 VOUT 1.21V 1 0.5 0 0V 0 7 Discussion and conclusions VPG 1.21V 10 20 30 40 50 Time (ms) Fig. 17 Simulated power up and power down response of LDO of Fig. 14, showing the Power Good signal VPG capacitor is 27.5 pF similar to the proposed replica-biased LDO, resulting in a modest reduction in the overall area. The performance of these LDO topologies, in general, improves with process technologies below 0.5 lm. For example, a transistor length reduction results in reduced dropout voltage and reduced parasitic capacitances associated with pass transistor. The bandwidth of the LDO increases, which provides for faster response time for line and load transients and correspondingly lower DVOUT. Finally, the area of the compensation capacitors and pass transistors would be smaller, which results in a reduction of overall footprint of the LDO. Acknowledgments The authors thank MOSIS for chip fabrication support. 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Annajirao Garimella received the B.E. degree in electrical and electronics engineering from the University of Madras, Chennai, India, in 2000, the M.S. degree in VLSI from Manipal University, Manipal, India, in 2002, and the M.S. and Ph.D. degrees in electrical engineering with a minor in management from New Mexico State University, Las Cruces, NM in 2009 and 2010, respectively. In 2006, he worked as an intern at Freescale Semiconductor, Inc., Austin, TX. In 2007, he held a co-op position at Texas Instruments, Dallas, TX. He has authored or coauthored more than 30 papers, published in conferences and journals. His research interests lie in the area of Circuits and Systems, with emphasis on analog, mixed-signal IC design, power management IC design, SoC design, and testing. He is recipient of HENAAC (Hispanic Engineer National Achievement Award Corporation) AMD Scholarship in 2005 and the HENAAC DaimlerChrysler Scholarship in 2006. Dr. Garimella received the Outstanding Ph.D. Graduate Award at New Mexico State University for Fall 2010. He is on the organizing committee of the 25th International Conference on VLSI Design VLSID’ 2012 and also the publication co-chair. He is a member of IEEE. 123 Analog Integr Circ Sig Process Paul M. Furth received a B.A. from Grinnell College, Grinnell, IA in 1984, the B.S.E.E. degree from the California Institute of Technology, Pasadena, CA in 1985 and the M.S. and Ph.D. degrees in electrical engineering from the Johns Hopkins University, Baltimore, MD, in 1992 and 1996, respectively. In 1995, he joined the Klipsch School of Electrical and Computer Engineering, New Mexico State University, Las Cruces, where he is currently an Associate Professor. He has work experience at Sandia National Labs, Micron, and Motorola. His areas of interest include analog and mixed-signal VLSI design, power management circuits, and CMOS image sensors. Dr. Furth received the Bromilow Teaching Excellence Award in 2008. He was the Technical Program Chair at the 42nd IEEE Midwest Symposium on Circuits and Systems Conference, MWSCAS 1999. He has chaired Special Sessions at MWSCAS 2010 and MWSCAS 2011 and currently serves as a Steering Committee Member for MWSCAS. He is a Senior Member of IEEE. Punith R. Surkanti is a Ph.D. candidate in electrical engineering at New Mexico State University, Las Cruces, NM. He obtained his B.Tech. from JNTU, Hyderabad in 2008 and M.S. degree in electrical engineering from New Mexico State University, Las Cruces, NM in 2011. He is the recipient of the Outstanding Graduate Teaching Assistantship Award from NMSU in 2011. He was selected for the Preparing Future Faculty Graduate Assistantship Award at NMSU in Fall 2009. His areas of interest include Analog, Mixedsignal and Power Management IC Design. He is a Student Member of IEEE. 123 Nitya R. Thota received the B.Tech. degree in electronics and communications engineering from the Jawaharlal Nehru Technological University, Hyderabad, AP, India, in 2009. She is currently working towards the M.S. degree in electrical engineering at New Mexico State University, Las Cruces. She was selected for the Preparing Future Faculty Graduate Assistantship Award at New Mexico State University for the 2010–2011 academic year. Her areas of interest include analog, mixed-signal VLSI design, power management IC design and ASIC design.