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    A 30-mA CMOS Low Dropout Regulator forWiMAX Analog Front Ends with 50 dB PSRR at

    10 MHz

    JosephSankman and Dongsheng MaIntegrated System Design Laboratory

    Texas Analog Center of Excellence (TxACE)The University of Texas at Dallas, Richardson, TX 75080

    Email: [email protected]

    Abstract While the application space for WiMAX has seen

    fast growth in recent years, on-chip digital circuits and high

    frequency switching converters have resulted in power supply

    noise with high frequency spectral content, which jeopardizes

    the reliability of sensitive WiMAX analog front ends. As a cost-

    effective solution, this paper presents a low dropout (LDO)

    regulator design, which achieves high PSRR at 10 MHz. The

    LDO is implemented and verified in a CMOS 0.25-m process.

    With a 3-V input power supply, it provides a 2.8-V regulatedoutput with a PSRR of 76 dB at 1 kHz and 50 dB at 10 MHz.

    The target maximum load current is 30 mA for this application.

    I. INTRODUCTIONThe use of wireless devices has seen significant growth in

    recent years. As a popular example, the Worldwide

    Interoperability for Microwave Access (WiMAX) offers

    tremendous opportunities for broadband wireless

    applications, specifically consumer-premises equipment and

    portable devices [1]. In general, a WiMAX analog front end(AFE) contains many noise sensitive analog and RF

    elements, which must be well isolated from noisy digitalcircuit blocks and other disturbances on the power supply [2].Commonly, a switching converter, working as a pre-

    regulator, is employed to convert a high input voltage of a

    battery or other power sources to a low on-chip DC voltage.

    Such a switching converter is desired to operate at highswitching frequency to reduce the size of off-chip

    components, such as inductors and output filtering capacitors,

    which, however, results in supply noise high in the frequency

    spectrum. As a result, an LDO with the capability to rejecthigh frequency noise is required for post-regulation so that

    clean and less noisy power can be delivered to the WiMAX

    AFE.

    Typically, the power supply rejection ratio (PSRR) of anLDO is determined by the gain and bandwidth of the LDO,

    the output capacitor, the equivalent series inductance (ESL)

    and the equivalent series resistance (ESR) of the output

    capacitor as well as the bond wire inductance [3]. At low

    frequencies, power supply noise can be rejected by the erroramplifier itself. However, at high frequencies, the noise

    reaches beyond the error amplifier bandwidth.

    Fig. 1. Block diagram of high PSRR LDO without multiple amplifiers or

    cascoded pass device.

    The output capacitor shorts high frequency power supply

    noise to ground. However, in the mid-range frequency band,neither the error amplifier nor output capacitor can reject the

    supply noise well, which causes a significant drop on the

    PSRR of the LDO. Previous designs improve PSRR by using

    cascoded pass devices [4, 5] or multiple high bandwidthamplifiers for supply ripple feed forward paths [2, 6].However, cascoded pass devices improve PSRR at the cost of

    a significant silicon area increase, a degraded transient

    performance, and the requirement of a second high voltagesupply rail (if an NMOS cascaded power transistor is used).

    Once again, this second supply rail, usually generated by an

    on-chip charge pump, consumes more silicon area andpotentially contributes more switching noise to the system.

    On the other hand, the supply ripple feed-forward approaches

    requires more amplifiers and large on-chip compensation

    capacitors. Hence, due to cost and complexity concerns, as

    shown in Fig. 1, a LDO with a single PMOS pass device and

    a single error amplifier would be highly desirable.

    To mitigate the aforementioned issues, this paper

    proposes a simple LDO that employs a low noise error

    amplifier and voltage-to-current and current-to-voltageconverters to achieve high PSRR. The rest of the paper is

    organized as follows. Section II introduces the proposed

    design and simulation results are presented in Section II.

    Finally, the paper is concluded in Section IV.

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    978-1-4673-1000-0/12/$31.00 2012 IEEE

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    Fig. 2. Circuit schematic of the proposed LDO. Low VTH devices are indicated by blue stripes.

    II. PROPOSED DESIGNA. LDO Design Overview

    To battle the drawbacks of the previously publishedconcepts, an error amplifier followed by a voltage-to-current

    converter and current-to-voltage converter (labeled as V-to-I

    and I-to-V respectively in Fig, 2) to drive the pass device is

    proposed. Additionally, a novel high PSRR error amplifierwith adaptive gain compensation is introduced to maintain

    stability at all loading conditions. In this approach, the PSRR

    performance is vastly improved across all frequencies. Thecomplete schematic is shown in Fig. 2. The LDO operates on

    a 3-V supply and regulates the output at 2.8 V.

    The voltage-to-current converter is formed by transistors

    M6 and M6L in Fig. 2, and is controlled by the error amplifier,

    which is composed of transistors M1M5 and MB2MB3. Thevoltage-to-current converter has high output impedance,

    meaning that the current it sinks is insensitive to voltage

    ripples on its output (the drain of M6L). Only the erroramplifier affects the current that the voltage-to-current

    converter sinks. The current-to-voltage converter is M8, with

    its source connected to the supply and its gate connected to

    the gate of the pass device, MP. The voltage-to-current

    converter sinks a supply independent current through M8 tomaintain constant VGS. Thus, any fluctuations at the source of

    M8 are replicated on the gate of M8 to keep its VGS constant.Since the gates of M8 and MP are connected, supply ripples

    are replicated on the gate of MP, maintaining the VGS of MP ata constant value. The transistor M7 in Fig. 2 provides another

    supply noise path to the gate of MP to maintain the VGS of

    MP. The purpose of the level shifter, formed by M9 and RLVL,is to ensure that the VGS of M7 is not large, which would

    result in a large current dissipation through M7, thus reducing

    efficiency.

    Fig. 3. Supply noise paths in a conventional two-stage amplifier.

    B. Circuit Design & Implementation1. Error Amplifier

    The design of the error amplifier requires carefulconsideration of how power supply noise enters the signal

    path. First, let us examine a conventional two-stage amplifier

    that consists of a differential-input, single-ended-output firststage and a common source second stage amplifier shown in

    Fig. 3. The first stage, composed of M1A,B and M2A,B, is

    relatively immune to power supply noise because at the

    output, the power supply noise is added with power supply

    noise that is shifted by 180o

    . However, the second stage,formed by M3 and MB3, does not have this feature because it

    is not differential. Assuming that MB3 is biased with a supply

    independent source, the supply noise at the output of the

    conventional two-stage amplifier is derived from the voltagedivider of the output impedances of M3 and MB3. Assuming

    that the output impedances of the devices are approximately

    equal, the best case PSRR of a conventional two-stageamplifier in open-loop is 3 dB.

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    Fig. 4. Proposed error amplifier with enhanced supply noise rejection andadaptive gain compensation. Low VTH devices are indicated by blue stripes.

    To overcome poor PSRR, [7] presents a single-stage, high-

    gain, high-bandwidth amplifier to achieve high PSRR

    performance. However, this amplifier has a major drawbackdue to its limited output swing. The amplifier can swing up to

    VDD 2VOV, but is limited to a low swing of VT + 2VOV. This

    means that the amplifier has a very small region in which it

    operates in the small-signal domain. In light-load situations,the amplifier moves out of its desired operating region.

    Thus, to overcome the limitations of the conventional two-

    stage amplifier and the swing limitations of the amplifier in[7], a novel two-stage amplifier with two differential-input

    stages is proposed. The proposed amplifier achieves a large

    swing along with excellent supply noise rejection. A detailed

    illustration of the amplifier with supply noise paths indicated

    is shown in Fig. 4.

    The first stage of the amplifier is a differential-input,

    differential-output topology, composed of transistors M1A,B,

    M3A,B, and M4A,B in Fig. 4. Thus, any supply noise that is

    conducted through the tail current source, MB2 and MB2L,appears at both outputs (drains of M1A and M1B) of the

    differential amplifier.

    The second stage of the amplifier is a differential-input,single-ended output topology, formed by M2A,B, and M5A,B in

    Fig. 4, which converts the differential output of the first stage

    in a single-ended output. Since the same noise is presented atboth inputs, it is rejected as common-mode noise. The supply

    noise that is conducted from the tail current source of the

    second stage, MB3 and MB3L, is cancelled out due to the phaseshift through half of the amplifier. Supply noise is amplifiedthrough the common-gate amplifier formed by M2B, but the

    same supply noise is amplified through the common gate

    amplifier M2A and the common source amplifier, M5B. As a

    result of the 180o phase shift from the common source

    amplifier, noise that is equal and opposite is summed with thenoise through M2B, thus cancelling it. Ideally, very little

    supply noise is propagated through the amplifier.

    Fig. 5. Gain plots at heavy and light load of (a) the proposed LDO without

    adaptive gain compensation and (b) the proposed LDO with adaptive gaincompensation.

    2. Frequency CompensationThe compensation of the proposed LDO is more difficult

    that the compensation of a conventional LDO. In a

    conventional LDO, where the error amplifier directly drives

    the gate of the pass device, the dominant pole is determinedby the load capacitance and load resistance, and the second

    pole is determined by the pass device gate capacitance and

    error amplifier output impedance. Thus, only the dominantpole should move significantly with changes in the load

    current. This makes compensation of the conventional LDO

    simpler since only one of the two poles moves in response tochanges in the load current.

    However, in the proposed topology, the second pole

    location now is determined by the ratio of the

    transconductance of M8 and the gate capacitance of the pass

    device. At light load, the transconductance of M8 becomesvery small, and since the gate capacitance of the pass device

    does not change, the second pole of the LDO is pushed to a

    significantly lower frequency. The movement of thedominant pole and the second pole is illustrated in Fig. 5(a).

    Normally, a zero created by the output capacitor and its ESR

    is used to cancel the second pole in a conventional LDO, but

    because the second pole changes position, the zero only

    cancels the pole at one loading condition. As shown in Fig.

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    5(a), the zero can be positioned to cancel the second pole at

    heavy load, but not at light load conditions. Because of the

    fixed position of the zero, despite changes in load current, the

    movement of the second pole threatens the stability of the

    system. Thus, a new method of compensation is paramount toensure stable response at light and heavy loads.

    To overcome this stability problem, an adaptive gaincompensation technique is employed to ensure stability overall load conditions. The transistors, M3A and M3B, illustrated

    in Fig. 4, are used to adaptively change the gain of the first

    stage in the error amplifier. M3A and M3B, also shown in Fig.

    4, current starve transistors M4A and M4B depending on the

    output voltage of the amplifier, which in turn changes theoutput impedance seen by the first stage amplifier. For

    example, if the load current increases, the output voltage (the

    drain voltages of M2B and M5B in Fig. 4) of the error amplifierincreases. In turn, this increases the current starving, which

    increases the output impedance of the first stage and

    increases its gain. At the same time, the second pole ispushed out and can be cancelled by the capacitor ESR zero.

    However, as the load current decreases, the error amplifier

    output voltage decreases, thus reducing the current starving

    effect. This reduces the gain sufficiently so that the second

    pole is beyond the unity gain bandwidth. This effect is shownin Fig. 5(b). If not for the reduction in gain, the second pole

    would degrade the phase margin of the LDO. The trade-off of

    using this approach is that the unity-gain bandwidth of the

    system is dramatically reduced at light loads since the DCgain of the error amplifier is reduced.

    III. SIMULATION RESULTS

    PSRR(dB)

    Fig. 6. Plot of the PSRR of the proposed LDO at a 30-mA load.

    The proposed design is verified based on fully transistor-level simulations in a CMOS 0.25-m process. The LDO

    operates nominally with a 2.2-F output capacitor and up to

    60 m of capacitor ESR. It consumes 92A at a load of 300

    A and consumes 205A at a maximum load of 30 mA. Thedropout voltage is 230 mV.

    Loop-Gain(dB)

    Phase(Degrees)

    Fig. 7. Loop-gain and phase of the proposed LDO at 30-mA load.

    0 50 100 150 200 250 3002.793

    2.794

    2.795

    2.796

    2.797

    2.798

    2.797

    2.799

    2.799

    0

    5

    10

    15

    20

    25

    30

    35

    Time (s)

    Voltage(V)

    LoadCurrent(mA)

    Fig. 8. Load transient responses for 1% to 100% and 100% to 1% load

    current changes. Load steps occur in 30 ns.

    The PSRR performance of the proposed LDO againstfrequency is shown in Fig. 6. At low frequencies, the PSRR is

    76 dB. The mid-range frequencies, where neither the error

    amplifier nor output capacitor rejects supply noise is slightlybelow 1 MHz. At 10 MHz, the PSRR is 50 dB. In addition,

    the LDO achieves the simulated PSRR performance with 2

    nH of bond wire package inductance and 1.2 nH of capacitor

    ESL. From the Bode plot in Fig. 7, the phase margin of the

    LDO is 63o and the gain margin is 34 dB. These valuesindicate good stability of the LDO.

    The load transient response of the proposed LDO is shown

    in Fig. 8. Load steps are performed from 300 A to 30 mA

    and from 30 mA to 300 A. The step time for each load stepis 30 ns. The observed undershoot is 1.7 mV and the

    observed overshoot is 1.2 mV.

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    Table 1. Performance comparison of the proposed design with prior art.

    [2] [5] [7] [8] Proposed

    Technology 0.13-m 0.13-m 90-nm 0.35-m 0.25-m

    VIN (V) > 1.15 > 3 > 1.15 > 3.3 > 3.03

    VOUT (V) 1 2.8 1 3 2.8

    Dropout (V) 0.15 0.19 0.15 0.3 0.23

    Max. Load

    (mA)

    25 150 140 25 30

    IQ (A) 50 98 (no-

    load)

    33 to

    145

    40.6 to

    76.8

    92 to 205

    PSRR (dB) 60 @

    100-kHz

    67 @ 1-

    MHz56 @ 10-

    MHz

    57 @

    100-kHz

    40 @ 1-

    MHz-- @ 10-

    MHz

    53 @

    100-kHz

    62 @ 1-

    MHz56 @

    10-MHz

    55* @

    100-kHz

    47 @ 1-

    MHz66 @

    10-MHz

    72 @

    100-kHz

    60 @ 1-

    MHz50 @ 10-

    MHz

    Load Cap.(F)

    4 1 6 5 2.2

    Cap. ESR

    (m)

    30 10 - 2 60

    Cap. ESL(nH)

    0.4 - - - 1.2

    Load Reg.

    (mV/mA)

    0.048 - 0.043 - 0.073

    Line Reg.

    (mV/V)

    26 - - - 1.2

    Load

    Transient

    (mV)

    15 (over)

    1.2

    (under)

    3.5

    (over)

    15.8(under)

    24

    (over)

    70

    (under)

    - 1.2 (over)

    1.7

    (under)

    * - Interpolated from figures.

    In comparison with prior art from Table 1, the proposed

    design achieves comparable PSRR performance with up to afactor of 2.7 times less output capacitance [7], tolerating up to

    30 times as much capacitor ESR [8], and a factor of 3 times

    more capacitor ESL [2]. Additionally, the proposed design

    achieves excellent load and line regulation performance aswell as minimal load transient overshoot and undershoot in

    comparison with other designs.

    IV. CONCLUSIONSA high PSRR LDO has been proposed for WiMAX

    analog fronts ends, in which an error amplifier has been

    proposed in combination with a voltage-to-current andcurrent-to-voltage converter to achieve high PSRR with a

    PMOS pass device. In comparison with the prior art, this

    design demonstrates better transient performance and

    demands less silicon real estate, since neither cascoded passdevice nor multiple amplifiers are required. The proposed

    design achieves 50 dB PSRR at 10 MHz with significant

    parasitic output capacitor ESR and ESL.

    REFERENCES

    [1] S. Vaughan-Nichols, Mobile WiMax: The Next WirelessBattleground?IEEE Computer Society, Computer, vol. 41, no. 6, pp.

    1618, Jun. 2008.

    [2] M. El-Nozahi, A. Amer, J. Torres, K. Entesari, and E. Sanchez-Sinencio, High PSR low drop-out regulator with feed-forward ripple

    cancellation, IEEE Journal of Solid-State Circuits, vol. 45, no. 3, pp.

    565577, Mar. 2010.

    [3] V. Gupta, G. A. Rincn-Mora, and P. Raha, Analysis and Design ofMonolithic, High PSR, Linear Regulators for SoC Applications, in

    Proceedings of the IEEE International System on Chip (SOC)

    Conference, pp. 311315, Santa Clara, California, 2004.

    [4] V. Gupta and G. A. Rincn-Mora, A 5 mA 0.6 m CMOS Millercompensated LDO regulator with -27 dB worst-case power-supply

    rejection using 60 pF of on-chip capacitance, in IEEE International

    Solid-State Circuits Conference (ISSCC) Digest of Technical Papers ,Feb. 2007, pp. 520521.

    [5] K. Wong and D. Evans, A 150mA Low Noise, High PSRR Low-Dropout Linear Regulator in 0.13m Technology for RF SoCApplications, in Proceedings of the IEEE European Solid-State

    Circuits Conference ESSCIRC, Montreux, Switzerland, Sept. 2006, pp.

    532535.

    [6]

    C. Zheng and D. Ma, Design of Monolithic Low Dropout Regulatorfor Wireless Powered Brain Cortical Implants Using a Line Ripple

    Rejection Technique, in IEEE Transactions on Circuits and SystemsII: Express Briefs, vol. 57, no. 9, pp. 686690, Sept. 2010.

    [7] A. Amer and E. Sanchez-Sinencio, A 140mA 90nm CMOS low-dropout regulator with -56dB power supply rejection at 10MHz, in

    Proceedings of the IEEE Custom Integrated Circuits Conference

    (CICC), San Jose, CA, USA, Sept. 2010, pp. 14.

    [8] S. Yeung, L. Guo, and K.N. Leung, 25 mA LDO with -63 dB PSRR at30 MHz for WiMAX, IETElectronic Letters, vol. 46, no. 15, pp.

    10801081, July 2010.

    25.3