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A 0.8V 5.9GHz WIDE TUNING RANGE CMOS VCO USING INVERSION-MODE BANDSWITCHING VARACTORS Chung-Yu Wu, Fellow, IEEE Chi-Yao Yu Department of Electronics Engineering and Institute of Electronic National Chiao Tung University Hsinchu, Republic of China Department of Electronics Engineering and Institute of Electronic National Chiao Tung University Hsinchu, Republic of China Abstract—This paper presents a completely integrated 0.8V 5.9GHz CMOS voltage-controlled oscillator (VCO) with inversion-mode MOS (IMOS) bandswitching varactors. IMOS varactors are used to maintain a large tuning range when the supply voltage is lower than 1V. Moreover, a large resistance connects to the bulk of each IMOS varactor to further improve the VCO tuning capability. Through this large resistance, the tuning range increases by 500MHz. A bandswitching topology is used to ameliorate the adverse effects of highly sensitive IMOS varactors. The VCO was simulated with a 0.8V supply with a tuning range of 29.12% from 4.4 to 5.9 GHz when tuned from 0 to 0.8V. The simulated phase noise is -109.65dBc/Hz at 1MHz offset from the carrier frequency of 5.52GHz. The VCO-core power dissipation is 1.2mW. When the supply is reduced to 0.6V, the tuning range becomes 22.64% from 4.7 to 5.9GHz. The VCO-core dissipates 0.9mW, and the phase noise is -105.24dBc/Hz at 1MHz offset from the carrier frequency of 5.65GHz. The VCO circuit has been designed using TSMC 0.18-µm CMOS technology with deep n-well processing. I. supply voltage is 0.8V, the tuning range of the VCO is 29.12% from 4.4 to 5.9GHz and the phase noise is 109.65dBc/Hz at 1MHz offset from the carrier at 5.52GHz. The VCO core dissipates 1.2mW of power. When the supply voltage is reduced to 0.6V, the tuning range of the VCO becomes 22.64% from 4.7 to 5.9GHz and the phase noise is 105.24dBc/Hz at 1MHz offset from the carrier at 5.65GHz. In this case, the VCO core consumes only 0.9mW. The VCO was implemented in TSMC 0.18-µm CMOS technology with deep n-well processing. This paper is organized as follows. Section II describes the passive elements in the VCO circuit. Next, the IMOS varactors are introduced. Next, the bandswitching topology is introduced. Finally, the integrated spiral inductor model used in simulation is described. Section III describes the design of the proposed VCO. Section IV presents the simulation results. Finally, the conclusion is drawn in Section V. INTRODUCTION Due to the large parasitic capacitance of bulk CMOS technology, integrated LC oscillators suffer from a small frequency tuning range. This problem is even worse when the supply voltage is lowered due to technology scaling. Accumulation MOS (AMOS) varactors have been a popular choice when the tuning voltage is larger than 1V [1]-[4]. However, when the tuning voltage is lower than 1V, the accumulation MOS (AMOS) varactors cannot achieve their physical maximum and minimum capacitance. This will degrade the VCO tuning capability considerably. To maintain a fine VCO tuning range in the case of low supply voltages, IMOS varactors are used in this VCO design because of their natural abrupt gradient of the C-V curve (capacitance relative to tuning voltage curve). To improve the tuning capability further, a large resistance connects to the bulk of each IMOS varactor to isolate the gate to bulk parasitic capacitance of IMOS from the oscillatory output port. The simulation results show that using the new modified IMOS structure, the effective minimal capacitance (Cmin) is reduced from 775 to 590fF and the frequency tuning range increases by 500MHz. When the II. THE PASSIVES A. Inversion-mode MOS Varactors Figure 1 shows the circuit schematic and equivalent models of the IMOS varactors used in the VCO design. A large poly resistance Rs connects the bulk of the NMOS and the ac ground terminal Vbias. When the terminal DS in Figure 1(a) is biased at the positive end voltage, the IMOS is operated in the depletion mode and Figure 1(b) shows the equivalent model. The value of Cparasitic is dominated by the gate-source and gate-drain overlap capacitance; Cox is the gate-oxide capacitance and Cdep is the depletion capacitance. The conductance looking into terminal G in Figure 1(b) is G dep = jω (C ox || C d )G s + jωC parasitic jω (C ox || C d ) + G s (1) where Gs is the inverse of the resistance of Rs. If Gs is much smaller than ω(Cox||Cd) and ωCparasitic across the entire frequency tuning range, then Gdep is approximately equal to jωCparasitic and the minimum capacitance Cmin can be estimated by Cparasitic. However, if the bulk is connected DS (Drain and Source) Cparasitic DS G Cox Cdep Rs Cparasitic+Cox 1.37p bulk connects to ground Vbias G (Gate) (b) Capacitance (F) Cparasitic DS Rs = 10k ohm G Vbias Rch/12 Cdep Rs Vbias Cox (a) (c) bulk connects to Rs Cparasitic+Cox||Cdep 775f Figure 1. (a) Circuit schematic of an IMOS varactor with a large bulk resistor Rs (b) The equivalent model in depletion mode (c) The equivalent model in inversion mode 185f (Cox||Cdep) Cparasitic 590f Vc 220m Voltage of DS terminal (volt) 0 Rch ≈ L ( k nW V gs − Vtn ), (2) where W and L are the width and length of the MOS transistor, kn is the gain factor for NMOS transistors, Vgs is the voltage difference between G and DS, and Vtn is the threshold voltage of the NMOS transistor. To simplify, assuming Rs goes to infinite, the conductance looking into terminal G in Figure 1(c) is Ginv = 12 jωC ox G ch + jωC parasitic jωC ox + 12G ch (3) where Gch is the inverse of the resistance of Rch. From (2), the ratio of 12Gch/ωCox is larger than 20 at the carrier frequency from 4 to 6GHz when L is 0.36µm. Thus, the imaginary part of Ginv is approximately equal to ω(Cox+Cparasitic) and the maximum capacitance Cmax can be estimated by Cox+Cparasitic. The HSPICE simulated C-V characteristics of an IMOS varactor are shown in Figure 2. The resistance of Rs is set to 10k in this simulation. The voltage of terminal G in figure 1 is set to a fixed voltage, 0.8V, and the voltage of DS is swept from 0 to 0.8V. The improvement of the Cmax/Cmin ratio using the modified varactor of Figure 1(a) is close to 25%. It should be noted that the center voltage Vc in Figure 2 can be right-shifted by increasing the bulk biased voltage, Vbias in Figure 1. In the proposed VCO design, Vbias is biased at 0.4V. B. Bandswitching Varactors Large varactor sensitivity kv degrades of phase noise performance L(∆f , k v ) . The effect of kv on phase noise can be shown by the following equation [1], 800m Figure 2. C-V curves of IMOS varactors 1.19p Capacitance (F) directly to the ac ground (case of infinite Gs), Cmin will become Cparasitic+Cox||Cdep. Thus, Cmin can be decreased by Cox||Cdep by using a large resistance Rs in Figure 1(a). When DS is biased at the negative end, a sheet of electrons accumulates at the surface of the channel and the IMOS is operated in the inversion mode. Figure 1(c) shows the equivalent model. Rch is the channel resistance, which can be estimated by following equation [5], 535f -1.8 0.8 0 Voltage of AMOS bulk terminal (volt) 1.8 Figure 3. C-V curves of AMOS varactors f L(∆f , k v ) = 10 log o 2Q∆f 2 f FkT 1 + c 2Po ∆f k v vn + 2k CL ∆f 2 , (4) where fo is the carrier frequency, Q is the quality factor, ∆f is the offset frequency from the carrier, F is the noise factor of the gain element, k is Boltzmann’s constant, T is the flicker noise corner frequency, and kCL is a function of C and L in the resonator. If the required tuning range is large, a bandswitching topology is suggested to reduce varactor sensitivity kv [1]. However, Figure 3 shows the C-V characteristics of an AMOS varactor with the same size and bias condition as the IMOS varactor simulated in Figure 2. AMOS cannot be fully switched when tuned from 0 to 0.8V. Thus, there is no benefit to implement bandswitching topology with AMOS varactors to reduce kv with low tuning voltage. On the other hand, from Figure 2, the gradient of the IMOS C-V curve is relatively small when the voltage of DS is 0 or 0.8V. This means that kv is also relatively small at 0 and 0.8V. It makes sense using IMOS as on/off only varactors in a bandswitching topology to improve phase noise performance with low supply voltages. Ct Ls1 Rs1 p3 Cox1 Csub1 Rs2 Rsub3 p2 Rsub2 Csub2 500MHz 5.6 Cox2 Cox3 Rsub1 Csub3 5.8 Ls2 Frequency (GHz) p1 bulk connects to Rs bulk connects to ground 6.0 Figure 4. Layout and equivalent model of spiral inductor 5.4 5.2 5.0 4.8 4.6 4.4 VDD Vo+ 4Cv/3 4.2 4Cv/3 0.2 0.4 0.6 0.8 Tuned Voltage (volt) Vo- Figure 6. Tuning range of VCO without bandswitching Cv Vc2 Cv Cv Vc3 Cv Idc Figure 5. VCO schematic C. Spiral Inuctor Figure 4 is the layout and equivalent model of the spiral inductor. The spiral inductor is implanted using the thick top metal and the inner radius is 80µm. A symmetrical architecture with center tapping is used to save chip area. ADS Momentum is used for simulation. The two-turn inductor provides 1.55nH of inductance, and the quality factor is from 9.5 to 11 across the entire tuning range. VCO DESIGN The VCO was designed in TSMC 0.18µm CMOS technology. Figure 5 shows the circuit schematic for the VCO. It is an LC cross-coupled VCO with nMOS latch to generate negative resistance. The current source Idc draws 1.5mA. The bandswitching IMOS varactor array consists of one continuous tuning varactor controlled by tuning voltage Vc1 and two on/off only digital switching varactors controlled by Vc2 and Vc3. Gate terminals (G in Figure 1) of each IMOS connect to the oscillatory outputs (Vo+ and Vo- in Figure 5) and the drain and source terminals (DS in Figure 1) connects to the tuning ports (Vc1 to Vc3 in Figure 5). The C-V curve of the three varactors on each side was shown in Figure 2. Frequency (GHz) Vc1 III. 0.0 Vc2 = Vc3 = 0V Vc2 = 0.8V Vc3 =0V Vc2 = Vc3 = 0.8V 5.9 5.8 5.7 5.6 5.5 5.4 5.3 5.2 5.1 5.0 4.9 4.8 4.7 4.6 4.5 4.4 0.0 0.2 0.4 0.6 0.8 Tuned voltage Vc1 (volt) Figure 7. Tuning range of bandswitching VCO IV. SIMULATION RESULTS The VCO circuit in Figure 5 is simulated with a 0.8V supply. Figure 6 shows the tuning characteristics of the VCO when Vc1, Vc2 and Vc3 are connected together and tuned from 0 to 0.8V. From the simulation results shown in Figure 6, the frequency tuning range can be improved by 500MHz (50%, from 1 to 1.5GHz) through the large resistance Rs connected to the IMOS bulk. Figure 7 shows the tuning range of the VCO with the bandswitching IMOS varactor array mentioned before. The carrier frequency can be tuned between 4.4 to 5.9GHz, achieving 29.12% tuning range with the center frequency at 5.15GHz. Figure 8 shows the phase noise simulation result when the VCO operates at a carrier frequency 5.52GHz. It has -88.01dBc/Hz at 100KHz offset and -109.65dBc/Hz at 1MHz offset. The phase noise is simulated when Vc1 is 0.3V and Vc2 and Vc3 are 0.8V. When the supply voltage is reduced to 0.6V, the tuning range becomes 22.64% from 4.7 to 5.9GHz. The phase noise is 81.52dBc/Hz at 100KHz offset and -105.24dBc/Hz at 1MHz offset from the carrier at 5.65GHz. TABLE I. VCO PERFORMANCE SUMMARY Process Supply voltage 0.8V 0.6V Frequency 4.4 – 5.9GHz 4.7 – 5.9GHz Tuning range 29.12% 22.64% Power dissipation 1.2mW 0.9mW Phase Noise @ 100k -88.01dBc/Hz -81.52dBc/Hz Phase Noise @ 1M -109.65dBc/Hz -105.24dBc/Hz FOM -184dBc/Hz -180.9dBc/Hz TABLE II. Figure 8. Phase noise simulation results A widely used figure of merit (FOM) to make comparisons between different VCOs is defined as f FOM = L{∆f } − 20 log o ∆f P + 10 log 1mW (5) where L{∆f } is the phase noise at ∆f offset from the carrier at f o and P is the power dissipation of the VCO-core. The FOM is this design is -183.65dBc/Hz at 5.52GHz at a 0.8V supply voltage. When the supply voltage is reduced to 0.6V, the FOM becomes -180.74dBc/Hz at 5.65GHz. Table 1 summarizes the performance of the proposed VCO while Table 2 provides a comparison with some recently published VCOs. It can be seen that the proposed VCO has good tuning capability even if the tuned voltage is lower than 1V. V. fo [GHz] Tuning Range VDD [V] P [mW] L{1MHx} [dBc/Hz] [dBc/Hz] Technology, Var. type [1] 3.065 5.612 58.7% (1.4V) 1V 3.0 2.0 -120.8 @3.065G -185.6 -186.6 0.13µm SOI CMOS, AMOS [3] 4.2 5.05 18% (2.5V) 2.5V 13.8 -114 @5G -176.6 0.25µm CMOS, AMOS [6] 5.87 4.73 21.5% (4V) 2V 4 -106 @5G -173.96 0.25µm CMOS [7] 1.8 2.45 26.5% (4V) 2V 2 -125 @1.9G -187.6 0.35 µm CMOS, AMOS [8] 5.51 6.53 16.8% (1.5V) 1.5V 18 -98.4 @6.29G -161.82 0.35 µm CMOS, No Var. 4.4 5.9 29.12% (0.8V) 0.8V 1.2 -109.65 @5.52G -183.65 4.7 5.9 22.64% (0.6V) 0.18 µm CMOS, IMOS 0.9 -105.24 @5.65G -180.74 (simulation result) This work 0.6V FOM REFERENCES [1] CONCLUSION [3] [4] [5] [6] ACKNOWLEDGEMENT C. Y. Yu would like to thank M. P. Houlgate, T. W. Yu, C. Y. Chou, S. Wang, and H. Y. Su for their advice and thank National Chip Implementation Center (CIC) for technical support. VCO PERFOMANCE COMPARISON Ref. [2] A 0.8V 5.9GHz fully-integrated cross-coupled LC VCO is presented. IMOS varactors with large bulk resistance are used to achieve 29.12% frequency tuning range. To correct for the adverse effects of IMOS varactors caused by high sensitivity, the bandswitching topology is used. When the supply voltage is reduced to 0.6V, the proposed VCO still has 22.64% frequency tuning range. Therefore, the proposed IMOS varactors provide a solution to maintain the VCO frequency tuning capability when the supply voltage is lower than 1V. TSMC 0.18µm CMOS [7] [8] Neric H. W. Fong, J. O. Plouchart, N. Zamdmer, D. Liu, Lawrence F. Wagner, C. Plett, and N. G. Tarr, “Design of Wind-Band CMOS VCO for Multiband Wirless LAN Application,” IEEE Journal of Solid-State Circuit, vol. 38, pp. 1333-1342, Aug. 2003. P. Andreani and S. Mattisson, “On the Use of MOS Varactors in RF VCO’s,” IEEE Journal of Solid-State Circuit, vol. 35, pp. 905-910, Jun. 2000. C. Samori, S. Levantino, and V. Boccuzzi, “A -94 dBc/Hz@100kHz, fully-integrated, 5 GHz, CMOS VCO with 18% tuning range for Bluetooth application,” in Proc. IEEE Custom Integrated Circuits Conf., pp. 201-204, 2001. J. Maget, M. Tiebout, and R. Kraus, “Influence of novel MOS varactors on performance of a fully-integrated UMTS VCO in standard 0.25-µm CMOS technology,” IEEE Journal of Solid-State Circuit, vol. 35, pp. 1360-1367, Sept. 2001. P. Andreani and S. Mattisson, “A 2.4-GHz CMOS Monolithic VCO based on an MOS Varactor,” In Proc. ISCAS’ 99, pp. 557-560, MayJune 1999. B. Jung and R. Harjani, “A Wide Tuning Range VCO Using Capacitive Source Degeneration,” In Proc. ISCAS’ 04, pp. 145-148, 2004. F. Svelto, S. Deantoni and R. Castello, “A 1mA, -120.5 dbc/Hz at 600 kHz from 1.9GHz fully tunable LC CMOS VCO,” in Proc. IEEE Custom Integrated Circuit Conf., pp. 577-580 , 2000. T. P. Liu, “A 6.5GHz Monolithic CMOS Voltage-Controlled Oscillator,” in IEEE Int. Solid-State Circuit Conf. Dig. Tech. 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