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A 434 MHz Low Power Quadrature PLL in 0.35-μm SOI CMOS AHMET TEKIN, ERTAN ZENCIR, DOUGLAS HUANG, NUMAN S. DOGAN Department of Electrical Engineering North Carolina A&T State University 551 McNair Hall, 1601 E. Market St Greensboro, North Carolina 27411 USA Abstract: - A 434-MHz low-power, fully-integrated, type-2 4th-order quadrature phase locked loop (PLL) was designed and simulated in a 0.35 μm Silicon-on-Insulator (SOI) CMOS process. A VCO operating at 868 MHz and a fast master-slave D-flip-flop divide-by-2 circuit were used to generate the desired quadrature signals at 434 MHz. The total power consumption of the PLL is 18.4 mW from a 2.5-V supply, including the bandgap bias circuit and the buffers driving the mixers. Key-Words: - SOI, CMOS, VCO, PLL, Phase Locked Loop. 1. Introduction PLL’s have become common building blocks for a range of different applications such as clock drivers, clock recovery circuits, frequency modulators, and frequency synthesizers. With the introduction of new applications, designers have been focusing on different architectures and different trade-offs in PLL designs to satisfy the requirements of the emerging applications with low cost and low power [3]-[10]. The goal of this work is to generate quadrature LO signals at 434 MHz for a single channel communication system that requires low power dissipation. Master-slave frequency division technique is used for quadrature LO signal generation. This requires the VCO to be designed at 2f0. In order to have a successful fast frequency division, buffers should be inserted after the divider to drive the mixers. The design was fully integrated in 0.35-μm Silicon-On- Insulator (SOI) CMOS process, which enables the integration of low parasitic active and passive components [1]. The paper is organized as follows. In section 2, the PLL architecture is presented. Section 3 presents the main building blocks of the PLL. Simulation results are presented in section 4. Layout is discussed in section 5 and section 6 is the conclusion. 2. PLL Architecture The most common ways to generate quadrature outputs are: (i) poly-phase filters, (ii) two cross coupled VCO’s, and (iii) VCOfrequency divider configuration [2]. In case of an RC poly-phase filter, the losses associated with the RC network would necessitate the use of large buffers to drive the mixers with the desired linearity. These buffers generally consume large power. Moreover, mismatches between the integrated R-C component values would result in unacceptable phase errors. Cross-coupled LC VCO solution for an oscillation frequency of 434 MHz has serious drawbacks. To sustain the oscillation with a reasonable level of phase noise with relatively large passive components, the design should consume considerable amounts of power. This power is doubled with the requirement of two VCO’s for this architecture. The area required would also double for the same reason. Best way to generate quadrature outputs at 434 MHz is to have a VCO frequency of 868 MHz. A fast master-slave divide-by-2 circuit is used to generate quadrature outputs at 434 MHz. The block diagram of the design is given in Fig. 1. Two differential buffers are inserted after divide-by-2 operation not to load this divider circuit and to be able to drive the mixer for a greater linearity. Fractional-N architecture has been chosen for further division. Output of the divide-by128/129 prescaler circuit is compared with A 3.39 MHz reference frequency. Thus the reference spurs remain out of 1 MHz channel bandwith of the application. Fref PFD CP UP-DOWN DELAYS 128/129 PRESCALER MODE LF DIVIDE-BY-2 VCO BUFF BUFF I Q Fig.1. Block diagram of the PLL M6 High resistivity substrate and buried-oxide layer in SOI provide high-Q on-chip spiral inductors. This in return reduces power requirement and phase noise of the VCO. The Q value of these 16.9-nH inductors is 7.5 at 868 MHz. This value was calculated from the π-model circuit parameters extracted from the measured s-parameters. The VCO consumes 5 mW from a 2.5-V supply. 3.2 Fast Master-Slave Divide-by-2 A common topology was used for fast divide-by-2 operation [3] [4]. Block diagram of the divider and the schematic of DFF used in the design are given in Fig. 3. In this design M3 and M4 would not allow a large voltage drop at the drains of M1 and M2, which otherwise would push M11 into triode region in case of a large VCO output driving this stage. Transistor sizes have been arranged to achieve successful division with minimum power consumption. Total power consumption of the circuit is 1.6 mW. M5 M1 Vbp M4 M3 - V out M5 D1 D2 + V out vctr M1 M2 C+ M3 M9 Vbn vco+ Q-vco- M10 3. Building Blocks 3.1 868 MHz VCO Fig. 2 shows the VCO topology used in the design. Both n-MOS and p-MOS crosscoupled pairs are used to have double amplification [2]. On-chip spiral inductors with the value of 16.9 nH resonate with 1pF p+/nwell varactor diodes and other parasitic capacitances to yield 868 MHz oscillation frequency. The gain of the VCO is 85 MHz/V. M8 C- D+ c+ c- Q+D+c+ c- Q+ D-M-DFF Q- D- S-DFF Q- M11 (a) Fig.2. Schematic of the VCO-core M4 Q+ M6 D- M7 D+ 2L Iref M2 I Q (b) Fig.3. (a) Fast D-FF schematic (b) MasterSlave Divide-by-2 3.3 Mixer Buffers In order not to load the divider circuit with the large gates of the mixer input transistors, two buffers are inserted. These buffers are simple differential pairs with diode connected load transistors. Each consuming 1.25 mW, these buffers can drive the mixers with 0.5 V swing. To facilitate testing and measurements, these buffers were resized to be able to drive 50-Ω loads. 3.4 Prescaler A 128/129 dual-modulus prescaler follows the fast divide-by-2 circuit. It is inconvenient to use phase select architecture in the design of this block due to the deep spikes observed during the phase switching action in simulations. This is mainly due to the relatively low input frequency of 434 MHz into the prescaler [3]. Circuit shown in Fig. 4 is used for the prescalar [5]. Design incorporates a synchronous divide-by-4/5 circuit followed by asynchronous divide-by-32 circuit. Because this architecture does not employ high power demanding parts such as quadrature generator and phase switching amplifiers as in the case of phase select architecture, it consumes less power. This block consumes total of 4.7 mW power. The schematic of the D-flip-flop used in the design is given in Fig. 5. Proper function of this circuit at 435 MHz frequency has been verified in simulations. It does not have any discharge or spike problems as suggested by [5]. The transistors of DFF’s employed in divide-by-4/5 circuit are twice as large as those used in low frequency divide-by-32 circuit. Prescaler input and output waveforms from closed-loop simulations are given in Fig. 9. Synchronous Divide-by-4/5 Q+ D DFF Q+ D DFF QQC C FIN D DFF Q+ Q- C MODE QFOUT D DFF Q- D DFF D DFF Q- D DFF Q- D DFF Q- C Q+ C Q+ C Q+ C Q+ Asynchronous Divide-by-32 Fig.4. 128/129 Prescaler Schematic C Q+ C D Q Q- Fig.5. D-FF Schematic used in Prescaler 3.5 PFD-CP As the phase-frequency detector (PFD), a configuration of two resetable DFF’s and a NAND gate with an inverter chain was used. With both outputs of flip-flops rising high, reset signal is pulled high to reset both flipflops [6]. Reset signal is delayed to avoid the dead zone problem. The circuit schematic of PFD is given in Fig. 6(a). Fig. 6(b) shows the charge-pump (CP) circuit [4] [7]. Here at high impedance state, up and down source currents are diverted to M2 and M8 respectively to keep the source transistors in conduction. Very small currents supplied by M5 and M11 charges all of the neighboring nodes and leaves M1 and M7 ready to conduct. Delays of up and down control signals of the charge pump arranged in a way that M2 and M8 do not close until M1 and M7 begin to conduct. Therefore, CP can respond to very small up and down pulses more precisely. This would improve the spurious performance of the PLL. M5 M3 Fref UPDW M6 Fdiv UP+ M4 UPM1 Is M2 Ipump R2 Is Ipump DW- C1 C2 DW+ M7 M8 M9 M10 M11 (a) C3 R1 LF VBG VD2 AGVD Fig.6. (a) PFD schematic (b) CP and loop filter schematic. Matching the up and down currents is also an important aspect of the CP design. If these currents are not matched, the loop will settle to a small phase offset to compensate this current mismatch. In the steady state, the net charge injected will be zero, but since the current pulses are not equal, reference spikes will appear at the output [3]. For this reason, a bandgap based constant current bias circuit is used to supply stable and equal currents with very low temperature coefficients for up and down branches. Bandgap Core M26M8 M27 M28 Buffer M9 CC M21 RC M12 M13 Vbuf M10 M22 M25 M23 Idif1 Idif2 M1 M2 M3 RX IB RY M4 . M24 D1 D2 Iref VBG Rbuf M6 (1) M12 (b) Bandgap Core Start-up differential pair is forced to show up across the other pair by mirroring their supply currents via M6, M7, M8 and M9 [9]. By sizing the transistors in differential pairs as WM 1 WM 3 WM 2 WM 4 A and arranging the currents to be Idiff2 = GIdiff1, this voltage difference can be weighted to obtain an output voltage of M7 M11 Buffer Start-up Fig.7. Constant-current bias circuit 3.6 Bandgap Based Constant Current Bias Circuit As shown in Fig.7, the reference voltage generated by the bandgap core which is arranged to give zero temperature coefficients around room temperature is buffered across a 15 KΩ resistor to yield a constant current. In the bandgap core the difference between the diode voltages VD1 and VD2 across the first A and G values could be chosen appropriately to yield zero temperature coefficients in VBG around room temperatures. Transistors M21M25 serve as start-up for the bandgap core. In the second stage, the reference voltage VBG is forced across off-chip buffer resistor Rbuf via buffer op-amp to yield constant current. In addition to being mirrored to the PLL blocks with required ratios, this generated reference current is also used back to bias the amplifier itself via M11. Due to this self biasing feature, this stage also needs a start-up. M10 does this function by taking its gate input from bandgap reference which is assured to start-up. 3.7 Loop Filter As shown in Fig. 6(b), the filter used here is a third order one which makes the loop fourth order. Third order and fourth order loops with the same crossover frequency have very close phase margins and settling times. The additional pole of fourth order PLL located at the vicinity of third order pole would enhance the spurious performance without reducing the crossover frequency [8]. For the loop characterization, the maximum phase margin that can be achieved depends largely on the capacitor ratio b C1 (C 2 C3) as follows. PM m ax tan 1 ( 1 b ) tan 1 (1 1 b ) (2) This equation can be derived by taking the derivative of phase margin equation obtained from open loop transfer function with respect to crossover frequency of the loop, ωc [8]. The value of ωc for this maximum phase margin is related to τ by c 1 b (3) where R1C1. When we write down ωc in terms of loop parameters (from open loop transfer function), the following equation should be satisfied. IP KVCO b C1 2 b 1. 2 N b 1 (4) Here IP is the charge-pump current, KVCO is the VCO gain and N is the frequency division ratio. For our design, since stability is the most important concern, the value of b has been chosen to be 14. Maximum phase margin for this b value is 61˚ (eq. 2). Considering the space budget of the PLL, ωc was selected to be 75 KHz. Using (3), the loop zero is located four orders in magnitude to the left of ωc. The value of R1 is chosen to be 55.3 KΩ. The C1 value is arranged to be 192 pF, a value larger than the required to further ensure the stability. Using (4), for the given VCO gain of 85 MHz/V, the charge-pump current required is 26 μA. From given b value, C2 and C3 values were selected as 8 pF and 7 pF, respectively. A value of 47.6 KΩ for R2 would put the fourth pole 1.5 orders in magnitude to the right of the third order pole. Fig.9. Prescaler input and output Fig.10. Settling of control voltage from 1.2 V initial value 4. Simulations 5. Layout Closed-loop simulations of the PLL are done in SpectreRF. Fig. 8 shows the quadrature signals at the buffer outputs with 300 fF load capacitance. Prescaler input-output waveforms are given in Fig. 9. Settling of the control voltage from a 1.2-V initial value is given in Fig. 10. Despite the very large value of C1, one can still distinguish reference spikes modulating the control voltage. Layout of the PLL is shown in Fig. 11. Almost half of the chip area is occupied by the loop filter, located at the right hand side of the layout. VCO sits at the left hand side of the layout with two 16.9-nH on-chip spiral inductors. Both available metal layers are used to reduce the series resistance of the coils. Output buffers are resized to drive 50-Ω loads for the measurement purposes and they consume 5 mW power from a separate supply pad. On-chip decoupling capacitors are inserted between Vdd and GND pads. Input pads leading to the gates of the transistors in the design are coupled by ESD diodes. Total chip area is 1.2 mm x 1.6 mm. Fig.8. Quadrature output signals after the buffers Fig.11. Layout of the PLL 6. Conclusion The selection of optimum architectures for quadrature generation, 128/129 dual modulus division and charge-pump for the given single channel wireless application has been discussed. A 434-MHz 18.4-mW quadrature output PLL has been introduced in 0.35-μm Silicon on Insulator (SOI) CMOS process. Low parasitic nature of the process has been utilized to achieve better VCO performance in terms of power and phase noise. References: [1] E.Zencir, N.S. Dogan, E. Arvas, “Modeling and performance of spiral inductors in SOI CMOS technology,” IEEE Canadian Conference on Electrical and Computer Engineering, pp. 408-411, May 2002. [2] H. Hegazi, K. Sharaf, H.F. Ragai, “A comparative study of CMOS-based quadrature integrated LC VCO topologies,” 45th Midwest Symposium on Circuits and Systems, vol.1, pp.I-336-9, Aug. 2002. [3] J. Craninckx, M. Steyaert, Wireless CMOS Frequency Synthesizer Design, Kluwer Academic Publishers, 1998. [4] James F. Parker, Daniel Ray, “A 1.6-GHz CMOS PLL with on-chip loop filter,” IEEE Journal of Solid State Circuits, vol.33, no.3, pp.337-343, March 1998. [5] R. Rogenmoser, Q. Huang, F. Piazza, “1.57 GHz asynchronous and 1.4 GHz dualmodulus 1.2 μm CMOS prescalers,” IEEE Custom Integrated Circuits Conference, pp. 387-390, May 1994. [6] Jafar Savoj, Behzad Razavi, High-Speed CMOS Circuits for Optical Receivers, Kluwer Academic Publishers, 2001. [7] Andreas Lehner, Robert Weigel, Dieter Sewald, Ali Hajimiri, “Design of a novel low-power 4th-order 1.7 GHz CMOS frequency synthesizer for DCS-1800,” IEEE International Symposium on Circuits and Systems, pp.637-640, May 2000. [8] Hamid R. Rategh, Thomas H. Lee, MultiGHz Frequency Synthesis & Division, Kluwer Academic Publishers, 2001. [9] Arne E. Buck, Charles L. McDonald, Stephen H. Lewis, T.R. Viswanathan, “A CMOS bandgap reference without resistors,” ISSCC Dig. Tech. Papers, pp. 442-443,475, Feb. 2000.